Band-gap structure and chiral discrete solitons in optical lattices with artificial gauge fields

Ye, Qinzhou; Qin, Xizhou; Li, Yongyao; Zhong, Honghua; Kivshar, Yuri S.; Lee, Chaohong

doi:10.1016/j.aop.2017.11.008

Cited by 9 publications

(6 citation statements)

References 63 publications

(81 reference statements)

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“…This confirms the existence of a chiral edge state in the synthetic Hall band, which is of great significance for the study of the topological state of matter and the quantum Hall effect [42]. In the three-legged bosonic ladder under the strong interaction, novel quantum phases including vortex liquid phase, vortex lattice phase, Meissner phase, and staggered-current phase are found [43], and discrete gap soliton are also obtained [44]. These findings have important implications for understanding nonlinear physical phenomena in magnetic optical lattices.…”

Section: Introductionsupporting

confidence: 70%

See 1 more Smart Citation

The ground state, localization, and chiral edge dynamics of a three-legged bosonic magnetic ladder

Zhang,

Qin,

Wang

et al. 2023

New J. Phys.

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Three-legged bosonic/fermionic magnetic ladder, reproducing the main features of magnetic lattice systems, is an ideal model to study the edge-bulk coupling and chiral edge dynamics, which are a hallmark of quantum Hall physics. Here, the ground state transition, localization, and chiral edge (bulk) states of an interacting three-legged bosonic magnetic ladder are studied analytically and numerically. When the system is in a quasi-steady state, using variational analysis, the threshold for the transition from zero momentum state to plane wave state is obtained. The energy spectrum, the ground state diagram, the chiral current of the system are presented, and the chiral current reversal at the state transition point is observed. Furthermore, the localization and its stability in the system are discussed, and rich localized phenomena (diffusion, breather, soliton, and self-trapping) are predicted. Stable soliton/breather prefers to form an edge state, while the self-trapping is favorite to form a bulk state, i.e. localized edge and bulk states are obtained. Particularly, for the unstable soliton in the ground state or metastable state, different kinds of chiral edge/bulk state and edge-bulk coupling are observed. The stability of the localized states, the edge-bulk coupling characteristics, and the chirality of the system depend on the energy band structure of the system. Additionally, a controllable transition between localized edge state and bulk state is realized by quenching the soliton state. We proposed a theoretical evidence to design and manipulate edge-bulk coupling and different kinds of localized/chiral edge (bulk) states in three-legged bosonic magnetic ladder.

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Section: Introductionsupporting

confidence: 70%

“…To further characterize the phase transition properties and dynamics of the system, we establish observable chiral current, which is used to characterize the different ground states of the system [43,44]:…”

Section: The Energy Spectrum and Ground State Transitionmentioning

confidence: 99%

The ground state, localization, and chiral edge dynamics of a three-legged bosonic magnetic ladder

Zhang,

Qin,

Wang

et al. 2023

New J. Phys.

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“…Loops locate inside a local energy gap, which is different from those in above mentioned systems where the position of loops is inside global band gaps. Similar loop structures in local gaps are shown in [48].…”

supporting

confidence: 75%

Nonlinear dynamics of a spin-orbit-coupled Bose-Einstein condensate

2019

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Single-particle dynamics of a spin-orbit-coupled Bose-Einstein condensate has recently been investigated in experiments that explore the physics of Landau-Zener tunneling and of the Zitterbewegung. In this paper, we study the influence of a nonlinearity due to interactions on these dynamics and show that the dispersion relation develops interesting loop structures. The atoms can move along the nonlinear dispersion curve in the presence of a weak acceleration force and we show that the loops lead to straightforward nonlinear Landau-Zener tunneling. However, we find that for the Zitterbewegung, induced by a sudden quench in the spin-orbit coupling parameters, the nonlinear dispersion is irrelevant.

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“…Optical lattice for ultracold atoms has become an increasingly important technology in many-body physics [1], quantum simulation, quantum computation, quantum information storage and high precision measurements [2][3][4][5][6]. When neutral atoms are trapped in periodic potentials produced by standing wave of light fields, the trapping potentials of various atomic internal states are manipulated by lattice polarizations, which is called the spin-dependent optical lattice [7,8], which bring more complicated geometry for ultracold atoms such as spin-dependent hexagonal lattice [9], spindependent optical superlattice [10], and have been used to study many interesting phenomena such as controlled coherent transport [7,11], spinor BEC [12], spin-orbit coupling and artificial gauge fields [13,14], spontaneous emission of matter waves [15], twisted-bilayer optical potentials [16].…”

Section: Introductionmentioning

confidence: 99%

Experimental study of tune-out wavelengths for spin-dependent optical lattice in $^{87}$Rb Bose-Einstein condensation

Wen¹,

Meng²,

Wang³

et al. 2021

Preprint

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We study the periodic potential of one-dimensional optical lattice originated from scalar shift and vector shift by manipulating the lattice polarizations. The ac Stark shift of optical lattice is measured by Kapitza-Dirac scattering of 87 Rb Bose-Einstein condensate and the characteristics of spin-dependent optical lattice are presented by scanning the lattice wavelength between the D1 and D2 lines. At the same time, tune-out wavelengths that ac Stark shift cancels can be probed by optical lattice. We give the tune-out wavelengths in more general cases of balancing the contributions of both the scalar and vector shift. Our results provide a clear interpretation for spin-dependent optical lattice and tune-out wavelengths, and help to design it by choosing the appropriate lattice wavelength.

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Band-gap structure and chiral discrete solitons in optical lattices with artificial gauge fields

Cited by 9 publications

References 63 publications

The ground state, localization, and chiral edge dynamics of a three-legged bosonic magnetic ladder

The ground state, localization, and chiral edge dynamics of a three-legged bosonic magnetic ladder

Nonlinear dynamics of a spin-orbit-coupled Bose-Einstein condensate

Experimental study of tune-out wavelengths for spin-dependent optical lattice in $^{87}$Rb Bose-Einstein condensation

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