Lattice Solitons in Optical Lattice Controlled by Electromagnetically Induced Transparency

Pang, Wei; Wu, Jianxiong; Yuan, Zhiyang; Liang, Yan; Chen, Guihua

doi:10.1143/jpsj.80.113401

Cited by 19 publications

(16 citation statements)

References 43 publications

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“…The proposed scheme is for an atomic system in a regular cold magneto‐optical trap. If three coupling fields are used with the same frequency and launched along the same direction z , they will interfere with each other to form a two‐dimensional hexagonal lattice interference pattern in the transverse

x y

plane. The resulting Rabi frequency of such an optically induced interference pattern can be written as

G = \sum_{i = 1}^{3} G_{2} exp [i k_{2} (x cos θ_{i} + y sin θ_{i})],

where

θ_{i} = [0, 2 π / 3, 4 π / 3]

are the relative phases of the three laser beams , k 2 is the wavenumber of the coupling fields, and G 2 represents the Rabi frequency of the coupling field, with

G_{2} = ℘_{12} E_{2} / ℏ

, where ℘ 12 is the electric dipole moment.…”

Section: The Modelmentioning

confidence: 99%

Photonic Floquet topological insulators in atomic ensembles

Zhang

Belić

et al. 2015

Laser & Photonics Reviews

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We demonstrate the feasibility of realizing a photonic Floquet topological insulator (PFTIs) in an atomic ensemble. The interference of three coupling fields will split energy levels periodically, to form a periodic refractive index structure with honeycomb profile that can be adjusted by different frequency detunings and intensities of the coupling fields. This in turn will affect the appearance of Dirac cones in the momentum space. When the honeycomb lattice sites are helically ordered along the propagation direction, gaps open at Dirac points, and one obtains a PFTI in an atomic vapor. An obliquely incident beam will be able to move along the zigzag edge of the lattice without scattering energy into the PFTI, due to the confinement of edge states. The appearance of Dirac cones and the formation of PFTI can be shut down by the third-order nonlinear susceptibility and opened up by the fifth-order one.

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x y

plane. The resulting Rabi frequency of such an optically induced interference pattern can be written as

G = \sum_{i = 1}^{3} G_{2} exp [i k_{2} (x cos θ_{i} + y sin θ_{i})],

where

θ_{i} = [0, 2 π / 3, 4 π / 3]

are the relative phases of the three laser beams , k 2 is the wavenumber of the coupling fields, and G 2 represents the Rabi frequency of the coupling field, with

G_{2} = ℘_{12} E_{2} / ℏ

, where ℘ 12 is the electric dipole moment.…”

Section: The Modelmentioning

confidence: 99%

Photonic Floquet topological insulators in atomic ensembles

Zhang

Belić

et al. 2015

Laser & Photonics Reviews

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“…The first involves the introduction of a periodical potential through structures such as 2D waveguide arrays or optical lattices [23,24]. The periodical potential introduces new features, such as lattice solitons [26][27][28], lattice gap solitons [29], and lattice vortex solitons [30,24,31]. However, it also breaks the translation symmetry and rotational symmetry of the system, limiting the mobility of the solitons.…”

Section: Introductionmentioning

confidence: 99%

Quadrupolar matter-wave soliton in two-dimensional free space

et al. 2015

Self Cite

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We study two-dimensional (2D) matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupole-quadrupole interaction (QQI) in 2D free space. The existence of 2D matter-wave solitons in the free space was predicted using the 2D GrossPitaevskii Equation (GPE). We find that the QQI solitons have a higher mass (smaller size and higher intensity) and stronger anisotropy than the dipole-dipole interaction (DDI) solitons under the same environmental parameters. Anisotropic soliton-soliton interaction between two identical QQI solitons in 2D free space is studied. Moreover, stable anisotropic dipole solitons are observed, to our knowledge, for the first time in 2D free space under anisotropic nonlocal cubic nonlinearity.Keywords 2D matter-wave solitons, quadrupole-quadrupole interaction, anisotropy soliton-soliton interaction, dipole solitons PACS numbers 05.45.Yv, 03.75.Lm, 43.25.Rq, 94.05.Fg

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“…The nonlinear propagation of an optical wave in a periodic system can lead to the formation of a variety of localized states [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Discrete vortices on twodimensional (2D) nonlinear lattices, which are localized states of an optical wave with an embedded nonzero phase circulation over a closed lattice contour, have attracted considerable attention over the past decade [19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Discrete vortices on anisotropic lattices

2015

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We consider the effects of anisotropy on two types of localized states with topological charges equal to 1 in two-dimensional nonlinear lattices, using the discrete nonlinear Schrödinger equation as a paradigm model. We find that on-site-centered vortices with different propagation constants are not globally stable, and that upper and lower boundaries of the propagation constant exist. The region between these two boundaries is the domain outside of which the on-site-centered vortices are unstable. This region decreases in size as the anisotropy parameter is gradually increased. We also consider off-site-centered vortices on anisotropic lattices, which are unstable on this lattice type and either transform into stable quadrupoles or collapse. We find that the transformation of off-sitecentered vortices into quadrupoles, which occurs on anisotropic lattices, cannot occur on isotropic lattices. In the quadrupole case, a propagation-constant region also exists, outside of which the localized states cannot stably exist. The influence of anisotropy on this region is almost identical to its effects on the on-site-centered vortex case.

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Lattice Solitons in Optical Lattice Controlled by Electromagnetically Induced Transparency

Cited by 19 publications

References 43 publications

Photonic Floquet topological insulators in atomic ensembles

Photonic Floquet topological insulators in atomic ensembles

Quadrupolar matter-wave soliton in two-dimensional free space

Discrete vortices on anisotropic lattices

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