Spin Hall mode in a trapped thermal Rashba gas

Armaitis, Jogundas; Ruseckas, Julius; Stoof, H. T. C.; Duine, RA Rembert

doi:10.1103/physreva.96.053625

Cited by 2 publications

(1 citation statement)

References 66 publications

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“…Notice that this formula, which includes the anomalous term ασ z (t), well-known in the linear theory [43][44][45], remains valid for nonlinear model (1). According to Eq.…”

Section: Bec-soliton In a Random Potential: Model And Mainmentioning

confidence: 99%

Spin-orbit-coupled soliton in a random potential

et al. 2018

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We investigate theoretically the dynamics of a spin-orbit coupled soliton formed by a selfinteracting Bose-Einstein condensate immersed in a random potential, in the presence of an artificial magnetic field. We find that due to the anomalous spin-dependent velocity, the synthetic Zeeman coupling can play a critical role in the soliton dynamics by causing its localization or delocalization, depending on the coupling strength and on the parameters of the random potential. The observed effects of the Zeeman coupling qualitatively depend on the type of self-interaction in the condensate since the spin state and the self-interaction energy of the condensate are mutually related if the invariance of the latter with respect to the spin rotation is lifted.

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“…Notice that this formula, which includes the anomalous term ασ z (t), well-known in the linear theory [43][44][45], remains valid for nonlinear model (1). According to Eq.…”

Section: Bec-soliton In a Random Potential: Model And Mainmentioning

confidence: 99%

Spin-orbit-coupled soliton in a random potential

et al. 2018

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Spin-orbit-coupled bosons interacting in a two-dimensional harmonic trap

2020

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A system of bosons in a two-dimensional harmonic trap with the presence of Rashba-type spinorbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a basis for a perturbation theory in the interacting two-boson system. The numerical diagonalization of both the single-particle and the two-boson Hamiltonian matrices allows us to go beyond those approximations and obtain not only the ground state, but also the low-energy spectra and the different energy contributions separately. We show that the expectation value of the spin-orbit term is related to the expectation value ofσzLz for the eigenstates of the system, regardless of the trapping potential. The ground state of the repulsively interacting two-boson system is characterized. With the presence of a sufficiently strong interaction and spin-orbit coupling strength, there is an energy-level crossing in the ground state of the system that changes its structure. This is reflected in a discontinuity in the different energy terms and it is signaled in the spatial density of the system.

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Spin Hall mode in a trapped thermal Rashba gas

Cited by 2 publications

References 66 publications

Spin-orbit-coupled soliton in a random potential

Spin-orbit-coupled soliton in a random potential

Spin-orbit-coupled bosons interacting in a two-dimensional harmonic trap

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