Spin-orbit coupling controlling the topological vortical phase transition in spin-2 rotating Bose-Einstein condensates

Zhu, Hao; Liu, Chaofei; Wang, Deng‐Shan; Yin, Shougen; Zhuang, Lin; Liu, Wu-Ming

doi:10.1103/physreva.104.053325

Cited by 6 publications

(2 citation statements)

References 60 publications

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“…The numerical studies on ground states of rotating Rashba SO-coupled gases in concentrically coupled toroidal traps [36], rotating ferromagnetic BEC with isotropic three-dimensional SO coupling [37], and SU(3) coupling subjected to a magnetic-field gradient [38] are among the other investigations which deserve to be mentioned. More recently, topological vortical phase transitions in an SO-coupled spin-2 BEC under rotation have been theoretically studied [39].…”

Section: Introductionmentioning

confidence: 99%

Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate

Banger¹,

Kumar²,

Roy³

et al. 2022

J. Phys.: Condens. Matter

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We theoretically study the stationary-state vortex lattice configurations of rotating spin-orbit- and coherently-coupled spin-1 Bose-Einstein condensates trapped in quasi-two-dimensional harmonic potentials. The combined effects of rotation, spin-orbit and coherent couplings are analyzed systematically from the single-particle perspective. Through the single-particle Hamiltonian, which is exactly solvable for one-dimensional coupling, under specific coupling and rotation strengths, we illustrate that a boson in these rotating spin-orbit- and coherently-coupled condensates are subjected to effective toroidal, symmetric double-well, or asymmetric double-well potentials. In the presence of mean-field interactions, using the coupled Gross-Pitaevskii formalism at moderate to high rotation frequencies, the analytically obtained effective potential minima and the numerically obtained coarse-grained density maxima position are in excellent agreement. On rapid rotation, we further find that the spin-expectation per particle of an antiferromagnetic spin-1 Bose-Einstein condensate approaches unity indicating a similarity in the response with ferromagnetic spin-orbit-coupled condensates.

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Section: Introductionmentioning

confidence: 99%

Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate

Banger¹,

Kumar²,

Roy³

et al. 2022

J. Phys.: Condens. Matter

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“…On the other hand, rotation is one of the most common strategies to generate nontrivial states in BEC. The combined effect of SOC and rotation facilitates the states to exhibit various structures in spin-1/2 [8], spin-1 [31] and spin-2 [32] BEC. However, certain carefully engineered SOC may offer opportunities to trigger even more novel excitation.…”

Section: Introductionmentioning

confidence: 99%

Stable striped state in a rotating two-dimensional spin–orbit coupled spin-1/2 Bose–Einstein condensate

Gao

Lin

et al. 2022

Commun. Theor. Phys.

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We consider an effective two-dimensional Bose-Einstein condensate with some spin-orbit coupling (SOC) and a rotation term in an external harmonic potential. We find the striped state, and analyze the effects of SOC, the external potential, and the rotation frequency/direction on the profile and the stability of the striped state. Without the rotation term, the two spinor components exhibit striped pattern, and the numbers of stripes in the two components are always an odd-even or an even-odd. With the increasing of the SOC strength, the number of stripes in both components increases, while the difference of the striped numbers is always one. After adding the rotation term, the profiles of the spinor components change qualitatively, and the change regulation of the striped numbers differs, while the difference of the striped numbers is still one. In addition, we find that the rotation direction only makes the striped state of the two spinor components exchange each other, though the clockwise and counterclockwise rotation directions are inequivalent with presence of SOC. Such regulation is different from previous study. And the rotation frequency gives rise to the phase transition from the striped state to a mixture of striped state and vortex state. Furthermore, we prove the stability of these states by the evolution and linear stability analysis.

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Vortex Lattice Formation in Spin–Orbit-Coupled Spin-2 Bose–Einstein Condensate Under Rotation

Banger

2023

J Low Temp Phys

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Spin-orbit coupling controlling the topological vortical phase transition in spin-2 rotating Bose-Einstein condensates

Cited by 6 publications

References 60 publications

Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate

Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate

Stable striped state in a rotating two-dimensional spin–orbit coupled spin-1/2 Bose–Einstein condensate

Vortex Lattice Formation in Spin–Orbit-Coupled Spin-2 Bose–Einstein Condensate Under Rotation

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