Stability of plane-wave Bose-Einstein condensation with spin-orbit coupling

He, Pei-Song

doi:10.1140/epjd/e2012-30198-9

Cited by 8 publications

(16 citation statements)

References 16 publications

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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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“…[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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“…These results express the relevance of the effective nonpolynomial nonlinearity of Eq. (11) in the prediction of collapse. In [27] at fixed values of SO coupling (γ = 1) and Rabi coupling (Γ = 0.19), the collapse is predicted beyond |g|N = 1.2.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…(9) by numerically solving the Eq. (11). As result of restriction (10), the total pseudo-magnetization M is zero, and the required normalization constants (14) take the form…”

Section: The Normalization Constantsmentioning

confidence: 99%

Harmonically trapped attractive and repulsive spin–orbit and Rabi coupled Bose–Einstein condensates

Chiquillo¹

2017

J. Phys. A: Math. Theor.

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Abstract.Numerically we investigate the ground state of effective one-dimensional spin-orbit (SO) and Rabi coupled two pseudo-spinor Bose-Einstein condensates (BECs) under the effect of harmonic traps. For both signs of the interaction, density profiles of SO and Rabi coupled BECs in harmonic potentials, which simulate a real experimental situation are obtained. The harmonic trap causes a strong reduction of the multi-peak nature of the condensate and it increases its density. For repulsive interactions, the increase of SO coupling results in an uncompressed less dense condensate and with increased multi-peak nature of the density. The increase of Rabi coupling leads to a density increase with an almost constant number of multi-peaks. For both signs of the interaction and negative values of Rabi coupling, the condensate develops a notch in the central point and it seems to a dark-in-bright soliton. In the case of the attractive nonlinearity, an interesting result is the increase of the collapse threshold under the action of the SO and Rabi couplings.

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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 plane-wave Bose-Einstein condensation with spin-orbit coupling

Cited by 8 publications

References 16 publications

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

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

Harmonically trapped attractive and repulsive spin–orbit and Rabi coupled Bose–Einstein condensates

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

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