Two-body physics in quasi-low-dimensional atomic gases under spin–orbit coupling

Wang, Jingkun; Wu, Yi; Zhang, Wei

doi:10.1007/s11467-015-0529-2

Cited by 7 publications

(3 citation statements)

References 73 publications

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“…The interaction strength g is the two-body interaction in the 2D 056103-2 plane, which can be varied to a large extent by either tuning the three-dimensional scattering length through a magnetic Feshbach resonance [23] or by changing the z-axis confinement through a confinement-induced resonance. [24][25][26][27][28][29]…”

Section: Formalismmentioning

confidence: 99%

Bose–Einstein condensates in an eightfold symmetric optical lattice*

et al. 2020

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We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasiperiodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external harmonic trapping potential, we first analyze the evolution of matter-wave interference pattern from periodic to quasi-periodic as the OL is changed continuously from four-fold periodic and eight-fold quasi-periodic. We also investigate the transport properties during this evolution for different interatomic interaction and lattice depth, and find that the BEC crosses over from ballistic diffusion to localization. Finally, we focus on the case of eightfold symmetric lattice and consider a global rotation imposed by the external trapping potential. The BEC shows vortex pattern with eightfold symmetry for slow rotation, becomes unstable for intermediate rotation, and exhibits annular solitons with approximate axial symmetry for fast rotation. These results can be readily demonstrated in experiments using the same configuration as in Phys. Rev. Lett. 122, 110404 (2019).

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Section: Formalismmentioning

confidence: 99%

Bose–Einstein condensates in an eightfold symmetric optical lattice*

et al. 2020

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“…In the presence of SO coupling, the center-of-mass (c.m.) motions of pairs are coupled to their relative motions [39]. Besides, all the scattering partial waves are mixed, since the orbital angular momentum of the relative motion of two atoms is no longer conserved because of SO coupling [40].…”

Section: Introductionmentioning

confidence: 99%

Universal scattering phase shift in the presence of spin-orbit coupling

Zhang,

Peng

2022

Preprint

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Scattering phase shift, as a key parameter in scattering theory, plays an important role in characterizing low-energy collisions between ultracold atoms. In this work, we theoretically investigate the universal low-energy behavior of the scattering phase shifts for cold atoms in the presence of spin-orbit coupling. We first construct the asymptotic form of the two-body wave function when two fermions get as close as the interaction range, and consider perturbatively the correction of the spin-orbit coupling up to the second order, in which new scattering parameters are introduced. Then for elastic collisions, the scattering phase shifts are defined according to the unitary scattering S matrix. We show how the low-energy behavior of the scattering phase shifts is modified by these new scattering parameters introduced by spin-orbit coupling. The universality of the scattering phase shifts is manifested as the independence of the specific form of the interatomic potential. The explicit forms of the new scattering parameters are analytically derived within a model of the spherical-square-well potential. Our method provides a unified description of the low-energy properties of scattering phase shifts in the presence of spin-orbit coupling.

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“…The spin-orbit interaction (SOI) is a fundamental phenomenon for the realization of various exotic spin dynamics and matters of nontrivial topological phases [2,3]. The SOI also occurs for photons when circularly polarized light propagates in an inhomogeneous dielectric medium.…”

Section: Introductionmentioning

confidence: 99%

Gravitational field around black hole induces photonic spin–orbit interaction that twists light

Pan

2017

Front. Phys.

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The spin-orbit interaction (SOI) of light has been intensively studied in nanophotonics because it enables sensitive control of photons' spin degree of freedom and thereby the trajectories of the photons, which is useful for applications such as signal encoding and routing. A recent study [Phys. Rev. Lett. 117, 166803 (2016)] showed that the SOI of photons manifests in the presence of a gradient in the permittivity of the medium through which the photons propagate; this enhances the scattering of circularly polarized light and results in the photons propagating along twisted trajectories. Here we theoretically predict that, because of the equivalence between an inhomogeneous dielectric medium and a gravitational field demonstrated in transformation optics, a significant SOI is induced onto circularly polarized light passing by the gravitational lens of a black hole. This leads to: i) the photons to propagate along chiral trajectories if the size of the black hole is smaller than the wavelength of the incident photons; ii) the resulting image of the gravitational lens to manifest an azimuthal rotation because of these chiral trajectories. The findings open for a way to probe for and discover subwavelength-size black holes using circularly polarized light.

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Two-body physics in quasi-low-dimensional atomic gases under spin–orbit coupling

Cited by 7 publications

References 73 publications

Bose–Einstein condensates in an eightfold symmetric optical lattice*

Bose–Einstein condensates in an eightfold symmetric optical lattice*

Universal scattering phase shift in the presence of spin-orbit coupling

Gravitational field around black hole induces photonic spin–orbit interaction that twists light

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