Vortex states and spin textures of rotating spin–orbit-coupled Bose–Einstein condensates in a toroidal trap

Wang, Huan; Wen, Liu; Yang, Hui; Shi, Chunxiao; Li, Jinghong

doi:10.1088/1361-6455/aa7afd

Cited by 36 publications

(26 citation statements)

References 65 publications

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“…In order to further understand the topological properties of the system, we use a nonlinear Sigma model [46,47] and introduce a normalized complex-valued spinor χ = [χ 1 , χ 2 ]…”

Section: Formalismmentioning

confidence: 99%

Ground-state properties of spin–orbit-coupled dipolar Bose–Einstein condensates with in-plane gradient magnetic field

Li¹,

Wang²,

Shi³

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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We investigate the ground-state properties of spin-orbit-coupled pseudo-spin-1/2 dipolar Bose-Einstein condensates (BECs) in a two-dimensional harmonic trap and an in-plane quadrupole field. The effects of spin-orbit coupling (SOC), dipole-dipole interaction (DDI) and the in-plane quadrupole field on the ground-state structures and spin textures of the system are systematically analyzed and discussed. For fixed SOC and DDI strengths, the system shows a quadrupole stripe phase with a half-quantum vortex, or a quadrupole Thomas-Fermi phase with a half-quantum antivortex for small quadrupole field strength, depending on the ratio between inter-and intraspecies interaction. As the quadrupole field strength enhances, the system realizes a ring mixed phase with a hidden vortex-antivortex cluster rather than an ordinary giant vortex in each component. Of particular interest, when the strengths of DDI and quadrupole field are fixed, strong SOC leads to the formation of criss-crossed vortex string structure. For given SOC and quadrupole field, the system for strong DDI displays a sandwich-like structure, or a special delaminated structure with a prolate antivortex in the spin-up component. In addition, typical spin textures for the ground states of the system are analyzed. It is shown that the system sustains exotic topological structures, such as a hyperbolic spin domain wall, skyrmion-half-antiskyrmion-antiskyrmion lattice, half-skyrmionskyrmion-half-antiskyrmion lattice, and a drum-shaped antimeron.

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“…In order to further understand the topological properties of the system, we use a nonlinear Sigma model [46,47] and introduce a normalized complex-valued spinor χ = [χ 1 , χ 2 ]…”

Section: Formalismmentioning

confidence: 99%

Ground-state properties of spin–orbit-coupled dipolar Bose–Einstein condensates with in-plane gradient magnetic field

Li¹,

Wang²,

Shi³

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

Self Cite

View full text Add to dashboard Cite

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“…Time-dependent GP equation is studied in different geometrical dimensions with isotropic and anisotropic trapping potentials with different interactions between the atoms like spin-orbit inter-actions, dipole-dipole interactions [19][20][21][22][23][24][25]. Rotating BEC has been studied taking account of dipolar and spin-orbit interactions [26,27].…”

Section: Theoretical Framework and Numerical Techniquementioning

confidence: 99%

Bose-Einstein Condensation in nonuniform rotation

Sahu,

Majumder

2018

Preprint

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In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the center of the condensate. That non-uniform rotation is defined by a rotating parameter called λ. The system is defined by a modified Gross-Pitaevskii equation. The result shows very different behavior from uniformly rotating condensate. In an uniformly rotating case there is formation triangular vortex lattice but in our case, we are watching that vortices are formed in circular ring shape above a specific amount rotation defined by λc. Below λc there is a distortion i.e. there is neither circular ring shape nor triangular symmetry among the vortices. We have studied the energy and chemical potential of the system. We have seen a sharp change in the energy and chemical potential of the systems at the point of λc. In this rich complex phase, we have drawn a phase diagram associated with the phase transition from disordered to circular ring shape pattern.

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“…They are due to Bosons condense simultaneously into multiple energy-minimum states, as distinct from conventional condensations that condense into only one energy minimum. Putting spin-orbitcoupled BECs in a toroidal trap quickly attracts interests [40][41][42][43][44][45][46]. Phase diagram of spin-orbit-coupled spin- * yongping11@t.shu.edu.cn 1/2 BECs in a tight toroidal trap has been identified [41][42][43].…”

Section: Introductionmentioning

confidence: 99%

“…Spin-orbit-coupled spin-1 BECs support more enriching phases. The effort in existing studies on spin-1 has been put into investigating the interplay between spin-orbit coupling and rotation [44][45][46]. The characteristics of phase diagram for spin-orbit-coupled spin-1 BECs with a toroidal confinement are still lacking.…”

Section: Introductionmentioning

confidence: 99%

Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow

Liu,

He,

Wang

et al. 2021

Preprint

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Spin-orbit coupling has novel spin-flip symmetries, a spin-1 spinor Bose-Einstein condensate owns meaningful interactions, and a toroidal trap is topologically nontrivial. We incorporate the three together and study the ground-state phase diagram in a Rashba spin-orbit-coupled spin-1 Bose-Einstein condensate with a toroidal trap. The spin-flip symmetries give rise to two different interesting phases: persistent flows with a unit phase winding difference between three components, and necklace states with even petal-number. The existing parameter regimes and properties of these phases are characterized by two-dimension numerical calculations and an azimuthal analytical one-dimension model.

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Vortex states and spin textures of rotating spin–orbit-coupled Bose–Einstein condensates in a toroidal trap

Cited by 36 publications

References 65 publications

Ground-state properties of spin–orbit-coupled dipolar Bose–Einstein condensates with in-plane gradient magnetic field

Ground-state properties of spin–orbit-coupled dipolar Bose–Einstein condensates with in-plane gradient magnetic field

Bose-Einstein Condensation in nonuniform rotation

Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow

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