Stability of a two-dimensional homogeneous spin-orbit-coupled boson system

He, Pei-Song; You, Wen-Long; Liu, Wu-Ming

doi:10.1103/physreva.87.063603

Cited by 17 publications

(10 citation statements)

References 44 publications

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“…Since the newly realized SO-coupled BEC has no direct analog in solids, great attention has been paid to * Corresponding author: zdanwei@126.com this unique many-body system. Especially, the ground state of SO-coupled BECs has been studied extensively in theory [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. For a two-dimensional homogeneous bosonic gas with Rashba SO coupling, depending on the interatomic interactions, the ground state of the system exhibits two unconventional phases: a plane wave phase with condensate in a single momentum state and a stripe phase with condensate in two opposite momenta [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

et al. 2015

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We numerically investigate the ground state, the Raman-driving dynamics and the nonlinear excitations of a realized spin-orbit-coupled Bose-Einstein condensate in a one-dimensional harmonic trap. Depending on the Raman coupling and the interatomic interactions, three ground-state phases are identified: stripe, plane wave and zero-momentum phases. A narrow parameter regime with coexistence of stripe and zero-momentum or plane wave phases in real space is found. Several sweep progresses across different phases by driving the Raman coupling linearly in time is simulated and the non-equilibrium dynamics of the system in these sweeps are studied. We find kinds of nonlinear excitations, with the particular dark solitons excited in the sweep from the stripe phase to the plane wave or zero-momentum phase within the trap. Moreover, the number and the stability of the dark solitons can be controlled in the driving, which provide a direct and easy way to generate dark solitons and study their dynamics and interaction properties.

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Section: Introductionmentioning

confidence: 99%

Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

et al. 2015

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“…[43,44]. Vortex-lattice solutions to the coupled Gross-Pitaevskii (GP) equations with the SO coupling and optical-lattice potential were reported in Ref.…”

Section: Introductionmentioning

confidence: 99%

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

2014

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We consider a two-component pancake-shaped, i.e., effectively two-dimensional (2D), Bose-Einstein condensate coupled by the spin-orbit (SO) and Rabi terms. The SO coupling adopted here is of the mixed Rashba-Dresselhaus type. For this configuration, we derive a system of two 2D nonpolynomial Schrödinger equations (NPSEs), for both attractive and repulsive interatomic interactions. In the low- and high-density limits, the system amounts to previously known models, namely, the usual 2D Gross-Pitaevskii equation, or the Schrödinger equation with the nonlinearity of power 7/3. We present simple approximate localized solutions, obtained by treating the SO and Rabi terms as perturbations. Localized solutions of the full NPSE system are obtained in a numerical form. Remarkably, in the case of the attractive nonlinearity acting in free space (i.e., without any 2D trapping potential), we find parameter regions where the SO and Rabi couplings make 2D fundamental solitons dynamically stable

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“…However, most of the studies on SO coupled BECs were primarily centered on the one-dimensional systems and only a few studies were devoted on two-dimensional SO coupled BECs. For instance, the dynamics of vortices, the existence of vortex-antivortex pair, modulation instability in quasi-two-dimensional BEC [38][39][40][41][42][43] are few notable works concerning higher dimensional SO coupled-BEC. One way of controlling the dimensionality of the system is by using a tight optical confinement of the atomic cloud along one or two directions [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Spotlighting phase separation in Rashba spin-orbit coupled Bose–Einstein condensates in two dimensions

2018

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We study the system of spin-orbit (SO) coupled Bose-Einstein condensates (BEC) with Rabi coupling in quasi-two dimensions characterized by unequal Rashba and Dresselhaus couplings. The ground state properties and the phase diagram of the system are studied within the mean-field approximation at T=0. The energy-momentum dispersion relation corresponding to the single-particle ground state exhibits an infinitely degenerate Rashba ring, whose degeneracy is destroyed by the Rabi coupling, leading to a single-point lowest energy. The effect of Rabi coupling and interaction in the system show up three different phases, namely stripe, plane wave and zero momentum phase. At a particular parametric condition, the system admits a critical point separating all three different phases, known as the tri-critical point. For further insight, the momentum distribution, the energy and the longitudinal/transverse spin polarization corresponding to the quantum phases are comprehensively discussed.

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Stability of a two-dimensional homogeneous spin-orbit-coupled boson system

Cited by 17 publications

References 44 publications

Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

Spotlighting phase separation in Rashba spin-orbit coupled Bose–Einstein condensates in two dimensions

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