Soliton magnetization dynamics in spin-orbit-coupled Bose-Einstein condensates

Fialko, O.; Brand, Joachim; Zülicke, U.

doi:10.1103/physreva.85.051605

Cited by 79 publications

(52 citation statements)

References 27 publications

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“…This achievement has ignited tremendous interest in this field because of the dramatic change in the single particle dispersion (induced by spin-orbit coupling) which in conjunction with the interaction leads to many exotic superfluids [35][36][37][38][39][40][41][42][43][44][45](also see [46][47][48][49][50][51][52][53] for review). Such change in dispersion also results in exotic solitons even when the interaction is contact (without dipole-dipole interactions), including 1D bright solitons [54][55][56][57][58][59][60] for a BEC with attractive contact interactions, 1D dark [61,62] and gap solitons [63][64][65] for a BEC with repulsive contact interactions, as well as 1D dark solitons for Fermi superfluids [66,67]. These solitons exhibit unique features that are absent without spin-orbit coupling, for instance, the plane wave profile with a spatially varying phase and the stripe profile with a spatially oscillating density for BECs, as well as the presence of Majorana fermions inside a soliton for Fermi superfluids.…”

Section: Introductionmentioning

confidence: 99%

Bright solitons in a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate

Zhang

2015

Phys. Rev. A

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We study a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate with repulsive contact interactions by both the variational method and the imaginary time evolution of the GrossPitaevskii equation. The dipoles are completely polarized along one direction in the 2D plane to provide an effective attractive dipole-dipole interaction. We find two types of solitons as the ground states arising from such attractive dipole-dipole interactions: a plane wave soliton with a spatially varying phase and a stripe soliton with a spatially oscillating density for each component. Both types of solitons possess smaller size and higher anisotropy than the soliton without spin-orbit coupling. Finally, we discuss the properties of moving solitons, which are nontrivial because of the violation of Galilean invariance.

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Section: Introductionmentioning

confidence: 99%

Bright solitons in a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate

Zhang

2015

Phys. Rev. A

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“…The realization of the spin-orbit coupling (SOC) in quantum atomic gases [1]- [6] and exciton-polariton condensates in semiconductor microcavities [7]- [13] has initiated a new direction in experimental and theoretical studies of atomic and photonic waves. While SOC is a linear effect, its interplay with intrinsic nonlinearity of Bose-Einstein condensates (BECs) makes it possible to predict the creation of topological modes in these settings, such as vortices [14], monopoles [16], and skyrmions [17,18], as well as stable one-dimensional [19]- [25], two-dimensional [26]- [31], and three-dimensional [32] solitons, see also a brief review in Ref. [33].…”

Section: Introductionmentioning

confidence: 99%

Gap and embedded solitons in microwave-coupled binary condensates

Fan

Chen

et al. 2020

Phys. Rev. A

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It was recently found that, under the action of the spin-orbit coupling (SOC) and Zeeman splitting (ZS), binary BEC with intrinsic cubic nonlinearity supports families of gap solitons, provided that the kinetic energy is negligible in comparison with the SOC and ZS terms. We demonstrate that, also under the action of SOC and ZS, a similar setting may be introduced for BEC with two components representing different atomic states, resonantly coupled by microwave radiation, while the Poisson's equation accounts for the feedback of the two-component atomic wave function onto the radiation. The microwave-mediated interaction induces an effective nonlinear trapping potential, which strongly affects the purport of the linear spectrum in this system. As a result, families of both gap and embedded solitons (those overlapping with the continuous spectrum) are found, which are chiefly stable. The shape of the solitons features exact or broken skew symmetry. In addition to fundamental solitons (whose shape may or may not include a node), a family of dipole solitons is constructed too, which are even more stable than their fundamental counterparts. A nontrivial stability area is identified for moving solitons in the present system, which lacks Galilean invariance. Colliding solitons merge into a single one.

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“…For example, bright-soliton solutions were found analytically for spin-orbit-coupled BECs by neglecting the kinetic energy [68]. Dark solitons for such a system were studied in a one-dimensional ring [69]. In this work we conduct a systematic study of bright solitons for a BEC with attractive interactions and the experimentally realized SOC [30,[42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Bright solitons in spin-orbit-coupled Bose-Einstein condensates

2013

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We study bright solitons in a Bose-Einstein condensate with a spin-orbit coupling that has been realized experimentally. Both stationary bright solitons and moving bright solitons are found. The stationary bright solitons are the ground states and possess well-defined spin-parity, a symmetry involving both spatial and spin degrees of freedom; these solitons are real valued but not positive definite, and the number of their nodes depends on the strength of spin-orbit coupling. For the moving bright solitons, their shapes are found to change with velocity due to the lack of Galilean invariance in the system.

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Soliton magnetization dynamics in spin-orbit-coupled Bose-Einstein condensates

Cited by 79 publications

References 27 publications

Bright solitons in a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate

Bright solitons in a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate

Gap and embedded solitons in microwave-coupled binary condensates

Bright solitons in spin-orbit-coupled Bose-Einstein condensates

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