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Sep 21, 2013
09/13

by
V. M. Mostepanenko

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Corrections to Newton's gravitational law inspired by extra dimensional physics and by the exchange of light and massless elementary particles between the atoms of two macrobodies are considered. These corrections can be described by the potentials of Yukawa-type and by the power-type potentials with different powers. The strongest up to date constraints on the corrections to Newton's gravitational law are reviewed following from the E\"{o}tvos- and Cavendish-type experiments and from the...

Source: http://arxiv.org/abs/gr-qc/0311047v1

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1.0

Jun 29, 2018
06/18

by
V. M. Mostepanenko

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We discuss some current problems in the relationship between elementary particle physics and gravitation, i.e., in the subject investigated by Prof.~K.~P.~Staniukovich half a century ago. Specifically, the inflationary stage of the Universe evolution, originating from the vacuum polarization and particle creation, corrections to Newton's gravitational law due to exchange of light elementary particles or spontaneous compactification of extra dimensions, and constraints on the parameters of...

Topics: High Energy Physics - Theory, History and Philosophy of Physics, Physics

Source: http://arxiv.org/abs/1606.05314

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Sep 23, 2013
09/13

by
V. M. Mostepanenko

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Several problems at the interface between the field-theoretical description of the Casimir effect and experiments on measuring the Casimir force are discussed. One of these problems is connected with the definition of the Casimir free energy in ideal metal rectangular boxes satisfying the general physical requirements. It is shown that the consideration of rectangular boxes with a partition (piston) does not negate the previously known results obtained for boxes without a piston. Both sets of...

Source: http://arxiv.org/abs/0903.0815v1

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3.0

Jun 28, 2018
06/18

by
V. M. Mostepanenko

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We investigate the thermal Casimir force between two parallel plates made of different isotropic materials which are separated by a uniaxial anisotropic film. Numerical computations of the Casimir pressure at T=300K are performed using the complete Lifshitz formula adapted for an anisotropic intervening layer and in the nonrelativistic limit. It is shown that the standard (nonrelativistic) theory of the van der Waals force is not applicable in this case, because the effects of retardation...

Topics: Quantum Physics, Condensed Matter, Other Condensed Matter

Source: http://arxiv.org/abs/1507.01549

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Sep 22, 2013
09/13

by
V. M. Mostepanenko

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We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the electromagnetic Casimir force in the configuration of a cylinder above a plate. The related work for the scalar Casimir effect in sphere-plate configuration is also considered, and the application region of the proximity force theorem is discussed. Next we...

Source: http://arxiv.org/abs/quant-ph/0702061v1

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0.0

Jun 29, 2018
06/18

by
V. M. Mostepanenko

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We consider recent progress in constraining the axion-nucleon coupling constants and the Yukawa-type corrections to Newtonian gravity from experiments on measuring the Casimir interaction. After a brief review of previously obtained constraints, we concentrate on the new Casimir-less experiment, which allows to strengthen the known results up to factors of 60 and 1000 for the axion-like particles and Yukawa-type corrections, respectively. We also discuss possibilities allowing to further...

Topics: High Energy Physics - Phenomenology, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1604.01328

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0.0

Jun 30, 2018
06/18

by
V. M. Mostepanenko

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We formulate a method allowing to confirm or exclude the alternative models of material properties at some definite confidence level in experiments on measuring the Casimir force. The method is based on the consideration of differences between the theoretical and mean measured quantities and the confidence intervals for these differences found at sufficiently high or low confidence probabilities. The developed method is applied to the data of four recent experiments on measuring the gradient of...

Topics: Quantum Physics, Other Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1411.4548

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Sep 23, 2013
09/13

by
V. M. Mostepanenko; B. Geyer

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The new approach to the theoretical description of the thermal Casimir force between real metals is presented. It uses the plasma-like dielectric permittivity that takes into account the interband transitions of core electrons. This permittivity precisely satisfies the Kramers-Kronig relations. The respective Casimir entropy is positive and vanishes at zero temperature in accordance with the Nernst heat theorem. The physical reasons why the Drude dielectric function, when substituted in the...

Source: http://arxiv.org/abs/0801.3445v1

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Sep 18, 2013
09/13

by
V. M. Mostepanenko; M. Novello

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The recent ideas that the gravitational and gauge interactions become united at the weak scale lead to Yukawa-type corrections to the Newtonian gravitational law at small distances. We briefly summarize the best constraints on these corrections obtained recently from the experiments on the measurement of the Casimir force. The new constraints on the Yukawa-type interaction are derived from the latest Casimir force measurement between a large gold coated sphere and flat disk using an atomic...

Source: http://arxiv.org/abs/hep-ph/0008035v1

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Sep 18, 2013
09/13

by
V. M. Mostepanenko; M. Novello

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Constraints on the Yukawa-type corrections to Newtonian gravitational law are obtained resulting from the measurement of the Casimir force between two crossed cylinders. The new constraints are stronger than those previously derived in the interaction range between 1.5 nm and 11 nm. The maximal strengthening in 300 times is achieved at 4.26 nm. Possible applications of the obtained results to the elementary particle physics are discussed.

Source: http://arxiv.org/abs/hep-ph/0101306v2

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Sep 22, 2013
09/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Recently Bo E. Sernelius [Phys. Rev. B {\bf 71}, 235114 (2005)] investigated the effects of spatial dispersion on the thermal Casimir force between two metal half spaces. He claims that incorporating spatial dispersion results in a negligible contribution from the transverse electric mode at zero frequency as compared to the transverse magnetic mode. We demonstrate that this conclusion is not reliable because, when applied to the Casimir effect, the approximate description of spatial dispersion...

Source: http://arxiv.org/abs/quant-ph/0603128v2

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Jun 29, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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The Casimir free energy and pressure of thin metal films deposited on metallic plates are considered using the Lifshitz theory and the Drude and plasma model approaches to the role of conduction electrons. The bound electrons are taken into account by using the complete optical data of film and plate metals. It is shown that for films of several tens of nanometers thickness the Casimir free energy and pressure calculated using these approaches differ by hundreds and thousands percent and can be...

Topics: Quantum Physics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1604.06081

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1.0

Jun 30, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We derive analytic expressions for the classical Casimir-Polder free energy and force for a polarizable (magnetizable) atom (microparticle) interacting with thin films, made of different materials, or graphene. It is shown that for an isolated dielectric film the free energy and force decrease quicker with separation, as compared to the case of atom interacting with a thick plate (semispace). For metallic films some peculiar features depending on the model of a metal used are analyzed. For an...

Topics: Quantum Physics, Other Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1401.4320

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Jul 20, 2013
07/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent years. In fact, the Casimir force is similar to the familiar van der Waals force in the case of relatively large separations when the relativistic effects come into play. We review the most important experiments on measuring the Casimir force by means of...

Source: http://arxiv.org/abs/quant-ph/0609145v1

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Sep 23, 2013
09/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We compare the experimental data of the first measurement of a temperature dependence of the Casimir-Polder force by Obrecht et al. [Phys. Rev. Lett. {\bf 98}, 063201 (2007)] with the theory taking into account small, but physically real, static conductivity of the dielectric substrate. The theory is found to be inconsistent with the data. The conclusion is drawn that the conductivity of dielectric materials should not be included in the model of the dielectric response in the Lifshitz theory....

Source: http://arxiv.org/abs/0801.1978v2

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Jun 27, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Using the recently derived representation for the polarization tensor in (2+1)-dimensional space-time allowing an analytic continuation to the entire plane of complex frequencies, we obtain simple analytic expressions for the reflection coefficients of graphene at nonzero Matsubara frequencies. In the framework of the Lifshitz theory, these coefficients are shown to lead to nearly exact results for the Casimir free energy and pressure between two graphene sheets. The constituent parts of large...

Topics: Other Condensed Matter, Condensed Matter, Quantum Physics

Source: http://arxiv.org/abs/1504.05576

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Sep 22, 2013
09/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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The thermal free energy and pressure of dispersion interaction between two graphene sheets described by the Dirac model are calculated using the Lifshitz formula with reflection coefficients expressed via the polarization tensor. The obtained results for a pristine graphene are found to be in agreement with computations using Coulomb coupling between density fluctuations. For a graphene with nonzero mass gap parameter a qualitatively different behavior for the free energy and pressure is...

Source: http://arxiv.org/abs/1302.5107v1

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0.0

Jun 29, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We obtain analytic expressions for the conductivity of pristine (pure) graphene in the framework of the Dirac model using the polarization tensor in (2+1)-dimensions defined along the real frequency axis. It is found that at both zero and nonzero temperature $T$ the in-plane and out-of-plane conductivities of graphene are equal to each other with a high precision and essentially do not depend on the wave vector. At $T=0$ the conductivity of graphene is real and equal to $\sigma_0=e^2/(4\hbar)$...

Topics: Materials Science, Condensed Matter, Quantum Physics

Source: http://arxiv.org/abs/1606.01892

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1.0

Jun 26, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We obtain the reflection coefficients from a graphene sheet deposited on a material substrate under a condition that graphene is described by the hydrodynamic model. Using these coefficients, the gradient of the Casimir force in the configuration of recent experiment is calculated in the framework of the Lifshitz theory. It is shown that the hydrodynamic model is excluded by the measurement data at the 99% confidence level over a wide range of separations. From the fact that the same data are...

Topics: Other Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1501.03945

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Sep 19, 2013
09/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Recently, H{\o}ye, Brevik, Ellingsen and Aarseth (quant-ph/0703174) claimed that the use of the Drude dielectric function leads to zero Casimir entropy at zero temperature in accordance with Nernst's theorem. We demonstrate that their proof is not applicable to metals with perfect crystal lattices having no impurities. Thus there is no any contradiction with previous results in the literature proving that the Drude dielectric function violates the Nernst theorem for the Casimir entropy in the...

Source: http://arxiv.org/abs/quant-ph/0703214v1

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1.0

Jun 29, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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The electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization tensor defined over the entire plane of complex frequency is used. At zero temperature we reproduce the results for both real and imaginary parts of the conductivity, obtained previously in the local approximation, and generalize them taking into account the...

Topics: Mesoscale and Nanoscale Physics, Materials Science, Condensed Matter, Quantum Physics

Source: http://arxiv.org/abs/1610.08040

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1.0

Jun 28, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We discuss the van der Waals (Casimir) free energies and pressures of thin metallic films, consisting from one to fifteen atomic layers, with regard to the anisotropy in their dielectric properties. Both free-standing films and films deposited on a dielectric substrate are considered. The computations are performed for a Au film and a sapphire substrate. According to our results, for free-standing Au films consisting of one and three atomic layers the respective relative error arising from the...

Topics: Other Condensed Matter, Quantum Physics, Condensed Matter, Mesoscale and Nanoscale Physics

Source: http://arxiv.org/abs/1512.02084

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0.0

Jun 29, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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The reflectivity properties of graphene with nonzero mass-gap parameter are investigated in the framework of Dirac model using the polarization tensor in (2+1)-dimensional space-time. For this purpose, a more simple explicit representation for the polarization tensor along the real frequency axis is found. The approximate analytic expressions for the polarization tensor and for the reflectivities of graphene are obtained in different frequency regions at any temperature. We show that the...

Topics: Mesoscale and Nanoscale Physics, Quantum Physics, Condensed Matter

Source: http://arxiv.org/abs/1604.06873

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0.0

Jun 30, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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The optical properties of dielectric plates coated with gapped graphene are investigated on the basis of first principles of quantum electrodynamics. The reflection coefficients and reflectivities of graphene-coated plates are expressed in terms of the polarization tensor of gapped graphene and the dielectric permittivity of plate material. Simple approximate expressions for the required combinations of components of the polarization tensor applicable in the wide frequency region, where the...

Topics: Materials Science, Condensed Matter, Mesoscale and Nanoscale Physics

Source: http://arxiv.org/abs/1701.03742

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Sep 18, 2013
09/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We investigate the Casimir force acting between real metals at nonzero temperature. It is shown that the zero-frequency term of Lifshitz formula has interpretation problem in the case of real metal described by Drude model. It happens because the scattering theory underlying Lifshitz formula is not well formulated when the dielectric permittivity takes account of dissipation. To give the zeroth term of Lifshitz formula the definite meaning different prescriptions were used recently by different...

Source: http://arxiv.org/abs/quant-ph/0101128v2

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Jun 28, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We investigate the Casimir free energy of a metallic film either sandwiched between two dielectric plates or in vacuum. It is shown that even for a thin film of several tens of nanometer thickness the Casimir free energy and pressure calculated with the Lifshitz theory using the Drude model and the plasma model approaches take significantly different values and can be easily discriminated. According to our results, the classical limit is already achieved for films of about 100\,nm thickness if...

Topics: Quantum Physics, Other Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1509.08080

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Sep 22, 2013
09/13

by
M. Bordag; U. Mohideen; V. M. Mostepanenko

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general...

Source: http://arxiv.org/abs/quant-ph/0106045v1

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0.0

Jun 30, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Using the recently proposed theory, we calculate thermal effect in the Casimir interaction from graphene-coated metallic and dielectric substrates. The cases when only one or both of the two parallel plates are coated with graphene are considered. It is shown that the graphene coating does not influence the Casimir interaction between metals, but produces large impact for dielectrics. This impact increases with decreasing static dielectric permittivity of the plate material. The thermal...

Topics: Quantum Physics, Other Condensed Matter, Condensed Matter

Source: http://arxiv.org/abs/1404.7057

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Sep 19, 2013
09/13

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We comment on progress in measurements of the Casimir force and discuss what is the actual reliability of different experiments. In this connection a more rigorous approach to the usage of such concepts as accuracy, precision, and measure of agreement between experiment and theory, is presented. We demonstrate that all measurements of the Casimir force employing spherical lenses with centimeter-size curvature radii are fundamentally flawed due to the presence of bubbles and pits on their...

Source: http://arxiv.org/abs/1010.2216v2

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0.0

Jun 30, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We discuss the strongest constraints on the Yukawa-type corrections to Newton's gravitational law within a submicrometer interaction range following from measurements of the Casimir force. In this connection the complicated problems arising when comparing the measurement data with the Lifshitz theory are analyzed. Special attention is paid to the results of two recent experiments on measuring the Casimir interaction between ferromagnetic surfaces and sinusoidally corrugated surfaces at various...

Topics: Quantum Physics, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1403.5778

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Jun 30, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Using the recently proposed quantum electrodynamical formalism, we calculate the Casimir-Polder free energies and forces between the ground state atoms of Rb, Na, Cs and He${}^{\ast}$ and the plates made of Au, Si, sapphire and fused silica coated with a graphene sheet. It is shown that the graphene coating has no effect on the Casimir-Polder interaction for metallic plates, but influences significantly for plates made of dielectric materials. The influence of graphene coating increases with...

Topics: Quantum Physics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1406.5819

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Jun 27, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We obtain improved constraints on the coupling constants of axion-like particles to nucleons from a recently performed Casimir-less experiment. For this purpose, the differential force between a Au-coated sphere and either Au or Si sectors of a rotating disc, arising due to two-axion exchange, is calculated. Over a wide region of axion masses from 1.7 meV to 0.9 eV the obtained constraints are stronger up to a factor of 60 than the previously known ones following from the Cavendish-type...

Topics: Quantum Physics, High Energy Astrophysical Phenomena, Astrophysics, High Energy Physics -...

Source: http://arxiv.org/abs/1503.04982

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Jun 26, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Axion is a light pseudoscalar particle of much interest for physics of elementary particles and for astrophysics. We review the recently obtained constraints on axion to nucleon coupling constants following from different experiments on measuring the Casimir interaction. These constraints are compared with those following from other laboratory experiments within the wide range of masses of axion-like particles from 10^{-10} to 20 eV. We also collect the most strong constraints on the...

Topics: Quantum Physics, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1502.07647

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1.0

Jun 30, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We derive an analytic behavior of the Casimir free energy, entropy and pressure of metallic films in vacuum at low temperature. It is shown that this behavior differs significantly depending on whether the plasma or the Drude model is used to describe the dielectric properties of film metal. For metallic films described by the lossless plasma model the thermal corrections to the Casimir energy and pressure drop to zero exponentially fast with increasing film thickness. There is no classical...

Topic: Quantum Physics

Source: http://arxiv.org/abs/1702.01708

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Sep 17, 2013
09/13

by
V. M. Mostepanenko; G. L. Klimchitskaya

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The Lifshitz theory and its modifications are discussed with respect to the Nernst heat theorem and the experimental data of several recent experiments. An analysis of all available information leads to the conclusion that some concepts of statistical physics might need reconsideration.

Source: http://arxiv.org/abs/0912.3877v1

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Jun 29, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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Recently Guerout et al. [Phys. Rev. E, v.93, 022108 (2016)] advocated that the lossless plasma model has to be redefined as the limit of the Drude model when the relaxation parameter goes to zero. It was claimed that the previously used plasma model cannot correctly describe the Casimir pressure between two plates made of both nonmagnetic and magnetic metals and has to be replaced with the redefined one. We show that the suggested redefinition does not satisfy necessary physical requirements...

Topic: Quantum Physics

Source: http://arxiv.org/abs/1604.06432

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Jun 29, 2018
06/18

by
G. L. Klimchitskaya; V. M. Mostepanenko

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We examine the Casimir free energy and pressure of magnetic metal films, which are free-standing in vacuum, sandwiched between two dielectric plates, and deposited on either nonmagnetic or magnetic metallic plates. All calculations are performed using both the Drude and plasma model approaches to the Lifshitz theory. According to our results, the Casimir free energies and pressures calculated using both theoretical approaches are significantly different in the magnitude and sign even for thin...

Topics: Quantum Physics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1606.07746

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Sep 21, 2013
09/13

by
G. L. Klimchitskaya; U. Mohideen; V. M. Mostepanenko

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The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of physics. This review is limited to the rapid progress at the intersection of experiment and theory that has been achieved in the last few years. It includes a critical assessment of the proposed approaches to the resolution of the puzzles arising in the applications of the Lifshitz theory of the van der...

Source: http://arxiv.org/abs/0902.4022v1

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Sep 18, 2013
09/13

by
F. Chen; G. L. Klimchitskaya; V. M. Mostepanenko; U. Mohideen

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The experimental demonstration of the modification of the Casimir force between a gold coated sphere and a single-crystal Si membrane by light pulses is performed. The specially designed and fabricated Si membrane was irradiated with 514 nm laser pulses of 5 ms width in high vacuum leading to a change of the charge-carrier density. The difference in the Casimir force in the presence and in the absence of laser radiation was measured by means of an atomic force microscope as a function of...

Source: http://arxiv.org/abs/0707.4390v1

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Sep 20, 2013
09/13

by
G. L. Klimchitskaya; U. Mohideen; V. M. Mostepanenko

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The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc conductivity of the plate material is disregarded. With inclusion of dc conductivity, both the standard Lifshitz theory (for all dielectrics) and its generalization taking into account screening effects (for a wide range of dielectrics) violate the Nernst heat...

Source: http://arxiv.org/abs/0802.2698v3

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Sep 18, 2013
09/13

by
V. B. Bezerra; G. L. Klimchitskaya; V. M. Mostepanenko

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Recently J.S. Hoye, I.Brevik, J.B. Aarseth, and K.A. Milton [Phys. Rev. E v.67, 056116 (2003); quant-ph/0212125] proposed that if the Lifshitz formula is combined with the Drude model, the transverse electric zero mode does not contribute to the result for real metals and there arises a linear temperature correction to the Casimir force at small temperatures. The authors claim that in spite of the fact that the Casimir entropy in their approach is negative, the Nernst heat theorem is satisfied....

Source: http://arxiv.org/abs/quant-ph/0306050v1

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Sep 19, 2013
09/13

by
B. Geyer; G. L. Klimchitskaya; V. M. Mostepanenko

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The Casimir interaction between two thick parallel plates, one made of metal and the other of dielectric, is investigated at nonzero temperature. It is shown that in some temperature intervals the Casimir pressure and the free energy of a fluctuating field are the nonmonotonous functions of temperature and the respective Casimir entropy can be negative. The physical interpretation for these conclusions is given. At the same time we demonstrate that the entropy vanishes when the temperature goes...

Source: http://arxiv.org/abs/quant-ph/0507228v1

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Sep 23, 2013
09/13

by
B. Geyer; G. L. Klimchitskaya; V. M. Mostepanenko

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The Casimir and van der Waals interaction between two dissimilar thick dielectric plates is reconsidered on the basis of thermal quantum field theory in Matsubara formulation. We briefly review two main derivations of the Lifshitz formula in the framework of thermal quantum field theory without use of the fluctuation-dissipation theorem. A set of special conditions is formulated under which these derivations remain valid in the presence of dissipation. The low-temperature behavior of the...

Source: http://arxiv.org/abs/quant-ph/0510054v1

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Sep 23, 2013
09/13

by
B. Geyer; G. L. Klimchitskaya; U. Mohideen; V. M. Mostepanenko

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We demonstrate that the generalization of the Lifshitz theory proposed by L. P. Pitaevskii arXiv:0801.0656 [Phys. Rev. Lett. v.101, 163202 (2008)] violates the Nernst heat theorem for many dielectric materials and is experimentally inconsistent.

Source: http://arxiv.org/abs/0810.3243v2

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Sep 21, 2013
09/13

by
B. Geyer; G. L. Klimchitskaya; V. M. Mostepanenko

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The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any restricted quantization volume. This expression satisfies the classical limit at high temperature and leads to zero thermal Casimir force for systems with infinite characteristic dimensions. In the case of two parallel ideal metal planes the results, as...

Source: http://arxiv.org/abs/0808.3754v1

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30

Sep 18, 2013
09/13

by
B. Geyer; G. L. Klimchitskaya; V. M. Mostepanenko

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The analytic asymptotic expressions for the Casimir free energy, pressure and entropy at low temperature in the configuration of one metal and one dielectric plate are obtained. For this purpose we develop the perturbation theory in a small parameter proportional to the product of the separation between the plates and the temperature. This is done using both the simplified model of an ideal metal and of a dielectric with constant dielectric permittivity and for the realistic case of the metal...

Source: http://arxiv.org/abs/0704.3818v1

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34

Jul 20, 2013
07/13

by
F. Chen; G. L. Klimchitskaya; V. M. Mostepanenko; U. Mohideen

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A measurement of the Casimir force between a gold coated sphere and two Si plates of different carrier densities is performed using a high vacuum based atomic force microscope. The results are compared with the Lifshitz theory and good agreement is found. Our experiment demonstrates that by changing the carrier density of the semiconductor plate by several orders of magnitude it is possible to modify the Casimir interaction. This result may find applications in nanotechnology.

Source: http://arxiv.org/abs/quant-ph/0609194v1

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23

Sep 19, 2013
09/13

by
F. Chen; G. L. Klimchitskaya; V. M. Mostepanenko; U. Mohideen

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We report the first experiment on the optical modulation of dispersion forces through a change of the carrier density in a Si membrane. For this purpose a high-vacuum based atomic force microscope and excitation light pulses from an Ar laser are used. The experimental results are compared with two theoretical models. The modulation of the dispersion force will find applications in optomechanical micromachines.

Source: http://arxiv.org/abs/quant-ph/0610094v2

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25

Sep 21, 2013
09/13

by
B. Geyer; G. L. Klimchitskaya; V. M. Mostepanenko

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We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we investigate the applicability of the proximity force approximation (PFA) to calculate thermal effects in the Casimir force and its gradient. It is shown that for real metals the two formulations of the PFA used in the literature lead to relative differences in the...

Source: http://arxiv.org/abs/1008.4715v1

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58

Jul 20, 2013
07/13

by
M. Bordag; B. Geyer; G. L. Klimchitskaya; V. M. Mostepanenko

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We consider the Casimir force including all important corrections to it for the configuration used in a recent experiment employing an atomic force microscope. We calculate the long-range hypothetical forces due to the exchange of light and massless elementary particles between the atoms constituting the bodies used in the experiment --- a dielectric plate and a sphere both covered by two thin metallic layers. The corrections to these forces caused by the small surface distortions were found to...

Source: http://arxiv.org/abs/hep-ph/9902456v1