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51

Sep 22, 2013
09/13

by
M. R. Setare; E. Karimi

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In this paper by using the method of point canonical transformation we find that the Coulomb and Kratzer potentials can be mapped to the Morse potential. Then we show that the P\"{o}schl-Teller potential type I belongs to the same subclass of shape invariant potentials as Hulth\'{e}n potential. Also we show that the shape-invariant algebra for Coulomb, Kratzer, and Morse potentials is SU(1,1), while the shape-invariant algebra for P\"{o}schl-Teller type I and Hulth\'{e}n is SU(2).

Source: http://arxiv.org/abs/0805.4116v1

36
36

Sep 21, 2013
09/13

by
E. Nagali; F. Sciarrino; F. De Martini; B. Piccirillo; E. Karimi; L. Marrucci; E. Santamato

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The orbital angular momentum of photons, being defined in an infinitely dimensional discrete Hilbert space, offers a promising resource for high-dimensional quantum information protocols in quantum optics. The biggest obstacle to its wider use is presently represented by the limited set of tools available for its control and manipulation. Here, we introduce and test experimentally a series of simple optical schemes for the coherent transfer of quantum information from the polarization to the...

Source: http://arxiv.org/abs/0902.0740v1

59
59

Sep 21, 2013
09/13

by
S. Mosca; B. Canuel; E. Karimi; B. Piccirillo; L. Marrucci; R. De Rosa; E. Genin; L. Milano; E. Santamato

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In this paper, we present experimental evidence of a newly discovered third-order nonlinear optical process Self-Induced Spin-to-Orbital Conversion (SISTOC) of the photon angular momentum. This effect is the physical mechanism at the origin of the depolarization of very intense laser beams propagating in isotropic materials. The SISTOC process, like self-focusing, is triggered by laser heating leading to a radial temperature gradient in the medium. In this work we tested the occurrence of...

Source: http://arxiv.org/abs/1008.1283v1

2
2.0

Jun 30, 2018
06/18

by
E. Karimi; R. W. Boyd; P. de la Hoz; H. de Guise; J. Rehacek; Z. Hradil; A. Aiello; G. Leuchs; L. L. Sanchez-Soto

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We introduce an operator linked with the radial index in the Laguerre-Gauss modes of a two-dimensional harmonic oscillator in cylindrical coordinates. We discuss ladder operators for this variable, and confirm that they obey the commutation relations of the su(1,1) algebra. Using this fact, we examine how basic quantum optical concepts can be recast in terms of radial modes.

Topic: Quantum Physics

Source: http://arxiv.org/abs/1401.4985

3
3.0

Jun 29, 2018
06/18

by
F. Bouchard; P. de la Hoz; G. Bjork; R. W. Boyd; M. Grassl; Z. Hradil; E. Karimi; A. B. Klimov; G. Leuchs; J. Rehacek; L. L. Sanchez-Soto

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Quantum metrology allows for a tremendous boost in the accuracy of measurement of diverse physical parameters. The estimation of a rotation constitutes a remarkable example of this quantum-enhanced precision, and it has been demonstrated in, e.g., magnetometry and polarimetry. When the rotation axis is known, NOON states are optimal for this task, achieving a Heisenberg-limit scaling. On the other hand, when the axis is unknown, we show that the optimal states are the recently introduced Kings...

Topic: Quantum Physics

Source: http://arxiv.org/abs/1612.06804