3
3.0
Jun 28, 2018
06/18
by
Yiqi Zhang; Xing Liu; Milivoj R. Belić; Zhenkun Wu; Yanpeng Zhang
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In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index modulation with the honeycomb profile. The energy band topology of the honeycomb lattice can be modulated by frequency detunings, thereby affecting the appearance (and disappearance) of Dirac points and cones in the momentum space. This effect can be...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1510.05872
3
3.0
Jun 28, 2018
06/18
by
Yiqi Zhang; Xing Liu; Milivoj R. Belić; Weiping Zhong; Yanpeng Zhang; Min Xiao
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Dynamics of wavepackets in fractional Schrodinger equation is still an open problem. The difficulty stems from the fact that the fractional Laplacian derivative is essentially a nonlocal operator. We investigate analytically and numerically the propagation of optical beams in fractional Schr\"odinger equation with a harmonic potential. We find that the propagation of one- and two-dimensional (1D, 2D) input chirped Gaussian beams is not harmonic. In 1D, the beam propagates along a zigzag...
Topics: Quantum Physics, Optics, Physics
Source: http://arxiv.org/abs/1510.05806
3
3.0
Jun 28, 2018
06/18
by
Yiqi Zhang; Hua Zhong; Milivoj R. Belić; Noor Ahmed; Yanpeng Zhang; Min Xiao
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We investigate the propagation of one-dimensional and two-dimensional (1D, 2D) Gaussian beams in the fractional Schr\"odinger equation (FSE) without a potential, analytically and numerically. Without chirp, a 1D Gaussian beam splits into two nondiffracting Gaussian beams during propagation, while a 2D Gaussian beam undergoes conical diffraction. When a Gaussian beam carries linear chirp, the 1D beam deflects along the trajectories $z=\pm2(x-x_0)$, which are independent of the chirp. In the...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1512.08671
2
2.0
Jun 29, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Changbiao Li; Zhaoyang Zhang; Yanpeng Zhang; Min Xiao
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We report two new classes of face-centered photonic square lattices with flat bands which we call the Lieb-I and the Lieb-II lattices. There are 5 and 7 sites in the corresponding unit cells of the simplest Lieb-I and Lieb-II lattices, respectively. The number of flat bands $m$ in the new Lieb lattices is related to the number of sites $N$ in the unit cell by $m=(N-1)/2$. Physical properties of the lattices with even and odd number of flat bands are different. We also consider localization of...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1605.04389
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37
Sep 22, 2013
09/13
by
Yiqi Zhang; Zhenkun Wu; Chenzhi Yuan; Xin Yao; Keqing Lu; Milivoj Belić; Yanpeng Zhang
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In a numerical investigation, we demonstrate the existence and curious evolution of vortices in a ladder-type three-level nonlinear atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing effect. We find that the number of beads and topological charge of the incident beam, as well as its size, greatly affect the formation and evolution of vortices. To determine the number of induced vortices and the corresponding rotation direction, we give...
Source: http://arxiv.org/abs/1210.1939v1
3
3.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Xing Liu; Milivoj R. Belić; Weiping Zhong; Milan S. Petrović; Yanpeng Zhang
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We investigate the propagation of light beams including Hermite-Gauss, Bessel-Gauss and finite energy Airy beams in a linear medium with parabolic potential. Expectedly, the beams undergo oscillation during propagation, but quite unexpectedly they also perform automatic Fourier transform, that is, periodic change from the beam to its Fourier transform and back. The oscillating period of parity-asymmetric beams is twice that of the parity-symmetric beams. In addition to oscillation, the...
Topics: Physics, Optics
Source: http://arxiv.org/abs/1412.6648
2
2.0
Jun 29, 2018
06/18
by
Yiqi Zhang; Junfeng Liu; Feng Wen; Changbiao Li; Zhaoyang Zhang; Yanpeng Zhang; Milivoj R. Belić
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We investigate the coherent and incoherent nonparaxial Weber beams, theoretically and numerically. We show that the superposition of coherent self-accelerating Weber beams with transverse displacement cannot display the nonparaxial accelerating Talbot effect. The reason is that their lobes do not accelerate in unison, which is a requirement for the appearance of the effect. While for the incoherent Weber beams, they naturally cannot display the accelerating Talbot effect but can display the...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1605.09525
3
3.0
Jun 28, 2018
06/18
by
Yiqi Zhang; Hua Zhong; Milivoj R. Belić; Xing Liu; Weiping Zhong; Yanpeng Zhang; Min Xiao
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We demonstrate the dual accelerating Airy-Talbot recurrence effect, i.e., the self-imaging of accelerating optical beams, by propagating a superposition of Airy beams with successively changing transverse displacements. The dual Airy-Talbot effect is a spontaneous recurring imaging of the input and of the input with alternating component signs. It results from the constructive interference of Airy wave functions, which is also responsible for other kinds of Airy beams, for example, Airy...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1510.05856
2
2.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Huaibin Zheng; Haixia Chen; Changbiao Li; Zhiguo Wang; Yanpeng Zhang
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We investigate three-dimensional nonparaxial linear accelerating beams arising from the transverse Whittaker integral. They include different Mathieu, Weber, and Fresnel beams, among other. These beams accelerate along a semicircular trajectory, with almost invariant nondiffracting shapes. The transverse patterns of accelerating beams are determined by their angular spectra, which are constructed from the Mathieu functions, Weber functions, and Fresnel integrals. Our results not only enrich the...
Topics: Physics, Optics
Source: http://arxiv.org/abs/1406.2764
3
3.0
Jun 29, 2018
06/18
by
Hua Zhong; Yiqi Zhang; Milivoj R. Belić; Changbiao Li; Feng Wen; Zhaoyang Zhang; Yanpeng Zhang
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We investigate controllable spatial modulation of circular autofocusing Airy beams, under action of different dynamic linear potentials, both theoretically and numerically. We introduce a novel treatment method in which the circular Airy beam is represented as a superposition of narrow azimuthally-modulated one-dimensional Airy beams that can be analytically treated. The dynamic linear potentials are appropriately designed, so that the autofocusing effect can either be weakened or even...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1603.08349
3
3.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Huaibin Zheng; Haixia Chen; Changbiao Li; Yuanyuan Li; Yanpeng Zhang
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We investigate numerically interactions between two in-phase or out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse dimension. We discuss different cases in which the beams with different intensities are launched into the medium, but accelerate in opposite directions. Since both the Airy beams and nonlinear accelerating beams possess infinite oscillating tails, we discuss interactions between truncated beams, with finite energies....
Topics: Physics, Nonlinear Sciences, Pattern Formation and Solitons, Optics
Source: http://arxiv.org/abs/1403.1952
2
2.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Zhenkun Wu; Milivoj R. Belić; Huaibin Zheng; Zhiguo Wang; Min Xiao; Yanpeng Zhang
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We demonstrate the photonic Floquet topological insulator (PFTI) in an atomic vapor with nonlinear susceptibilities. The interference of three coupling fields splits the energy levels periodically to form a periodic refractive index structure with honeycomb symmetry that can be adjusted by the choice of frequency detunings and intensities of the coupling fields, which all affect the appearance of Dirac cones in the momentum space. When the honeycomb lattice sites are helically ordered along the...
Topics: Physics, Optics
Source: http://arxiv.org/abs/1411.3048
2
2.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Huaibin Zheng; Haixia Chen; Changbiao Li; Jianping Song; Yanpeng Zhang
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eye 2
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Akhmediev and Kuznetsov-Ma breathers are rogue wave solutions of the nonlinear Schr\"odinger equation (NLSE). Talbot effect (TE) is an image recurrence phenomenon in the diffraction of light waves. We report the nonlinear TE of rogue waves in a cubic medium. It is different from the linear TE, in that the wave propagates in a NL medium and is an eigenmode of NLSE. Periodic rogue waves impinging on a NL medium exhibit recurrent behavior, but only at the TE length and at the half-TE length...
Topics: Physics, Nonlinear Sciences, Pattern Formation and Solitons, Optics
Source: http://arxiv.org/abs/1402.3017
3
3.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Huaibin Zheng; Haixia Chen; Changbiao Li; Jianeng Xu; Yanpeng Zhang
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We investigate numerically interactions between two bright or dark incoherent localized beams in an strontium barium niobate photorefractive crystal in one dimension, using the coherent density method. For the case of bright beams, if the interacting beams are in-phase, they attract each other during propagation and form bound breathers; if out-of-phase, the beams repel each other and fly away. The bright incoherent beams do not radiate much and form long-lived well-defined breathers or...
Topics: Physics, Nonlinear Sciences, Pattern Formation and Solitons, Optics
Source: http://arxiv.org/abs/1408.2601
2
2.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Yaroslav V. Kartashov; Feng Li; Zhaoyang Zhang; Yanpeng Zhang; Milivoj R. Belić; Min Xiao
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We address edge states and rich localization regimes available in the one-dimensional (1D) dynamically modulated superlattices, both theoretically and numerically. In contrast to conventional lattices with straight waveguides, the quasi-energy band of infinite modulated superlattice is periodic not only in the transverse Bloch momentum, but it also changes periodically with increase of the coupling strength between waveguides. Due to collapse of quasi-energy bands dynamical superlattices admit...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1703.08938
2
2.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Weiping Zhong; Feng Wen; Yang Guo; Yao Guo; Keqing Lu; Yanpeng Zhang
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We numerically investigate the light beam propagation in periodic waveguide arrays which are elaborately modulated with certain structures. We find that the light beam may split, coalesce, deflect, and be localized during propagation in these spatially modulated waveguide arrays. All the phenomena originate from Bloch oscillations, and supply possible method for fabricating on-chip beam splitters and beam combiners.
Topics: Physics, Optics
Source: http://arxiv.org/abs/1412.3272
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31
Sep 18, 2013
09/13
by
Yiqi Zhang; Xin Yao; Chenzhi Yuan; Peiying Li; Jiamin Yuan; Weikang Feng; Shuqiao Jia; Yanpeng Zhang
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We theoretically study the Talbot effects resulted from the four-wave mixing and six-wave mixing signals, which are periodically modulated due to the coherence control effect. Corresponding to different dressing states, the enhancement and suppression conditions that will affect the properties of the multiwave mixing signals are also discussed in detail. Such proposal can be useful in all-optical-controlled pattern formation and propagation of light.
Source: http://arxiv.org/abs/1211.1372v1
2
2.0
Jun 29, 2018
06/18
by
Yiqi Zhang; Hua Zhong; Milivoj R. Belić; Changbiao Li; Zhaoyang Zhang; Feng Wen; Yanpeng Zhang; Min Xiao
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eye 2
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We demonstrate the fractional Talbot effect of nonpraxial accelerating beams, theoretically and numerically. It is based on the interference of nonparaxial accelerating solutions of the Helmholtz equation in two dimensions. The effect originates from the interfering lobes of a superposition of the solutions that accelerate along concentric semicircular trajectories with different radii. Talbot images form along certain central angles, which are referred to as the Talbot angles. The fractional...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1603.08339
5
5.0
Jun 29, 2018
06/18
by
Da Zhang; Yiqi Zhang; Zhaoyang Zhang; Noor Ahmed; Yanpeng Zhang; Fuli Li; Milivoj R. Belić; Min Xiao
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We establish a link between the fractional Schr\"odinger equation (FSE) and light propagation in the honeycomb lattice (HCL) - the Dirac-Weyl equation (DWE). The fractional Laplacian in FSE causes a modulation of the dispersion relation of the system, which in the limiting case becomes linear. In the HCL, the dispersion relation is already linear around the Dirac point, suggesting a possible connection with the FSE. Here, we demonstrate this connection by describing light propagation in...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1610.02597
4
4.0
Jun 30, 2018
06/18
by
Yiqi Zhang; Milivoj R. Belić; Milan S. Petrović; Huaibin Zheng; Haixia Chen; Changbiao Li; Keqing Lu; Yanpeng Zhang
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We introduce two-dimensional (2D) linear and nonlinear Talbot effects. They are produced by propagating periodic 2D diffraction patterns and can be visualized as 3D stacks of Talbot carpets. The nonlinear Talbot effect originates from 2D rogue waves and forms in a bulk 3D nonlinear medium. The recurrences of an input rogue wave are observed at the Talbot length and at the half-Talbot length, with a \pi phase shift; no other recurrences are observed. Different from the nonlinear Talbot effect,...
Topics: Physics, Nonlinear Sciences, Optics, Pattern Formation and Solitons
Source: http://arxiv.org/abs/1412.0236
2
2.0
Jun 29, 2018
06/18
by
Yiqi Zhang; Hua Zhong; Milivoj R. Belić; Yi Zhu; Weiping Zhong; Yanpeng Zhang; Demetrios N. Christodoulides; Min Xiao
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We investigate the fractional Schr\"odinger equation with a periodic $\mathcal{PT}$-symmetric potential. In the inverse space, the problem transfers into a first-order nonlocal frequency-delay partial differential equation. We show that at a critical point, the band structure becomes linear and symmetric in the one-dimensional case, which results in a nondiffracting propagation and conical diffraction of input beams. If only one channel in the periodic potential is excited, adjacent...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1603.08345
2
2.0
Jun 29, 2018
06/18
by
Hua Zhong; Yiqi Zhang; Yi Zhu; Da Zhang; Changbiao Li; Yanpeng Zhang; Fuli Li; Milivoj R. Belić; Min Xiao
texts
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We report on transport properties of the super-honeycomb lattice, the band structure of which possesses a flat band and Dirac cones, according to the tight-binding approximation. This super-honeycomb model combines the honeycomb lattice and the Lieb lattice and displays the properties of both. The super-honeycomb lattice also represents a hybrid fermionic and bosonic system, which is rarely seen in nature. By choosing the phases of input beams properly, the flat-band mode of the super-honeycomb...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1608.06365
