Fragmentation of spin-orbit-coupled spinor Bose-Einstein condensates

Song, Shu-Wei; Zhang, Yi‐Cai; Zhao, Hua; Wang, Xuan; Liu, Wu-Ming

doi:10.1103/physreva.89.063613

Cited by 31 publications

(16 citation statements)

References 42 publications

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“…We investigate the variance along the pathway from condensation to fragmentation of the ground state of trapped bosons [77][78][79][80][81]. Fragmentation of BECs has drawn much attention, see, e.g., [82][83][84][85][86][87][88][89][90]. In particular for structureless bosons with a long-range interaction in a single trap, the ground state has been shown to become fragmented when increasing the inter-particle repulsion [58,[91][92][93][94][95].…”

Section: A Staticsmentioning

confidence: 99%

Variance of an anisotropic Bose-Einstein condensate

et al. 2018

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The anisotropy of a trap potential can impact the density and variance of a Bose-Einstein condensate (BEC) in an opposite manner. We exemplify this effect for both the ground state and out-of-equilibrium dynamics of structureless bosons interacting by a long-range inter-particle interaction and trapped in a two-dimensional single-well potential. We demonstrate that even when the density of the BEC is, say, wider along the y direction and narrower along the x direction, its position variance can actually be smaller and momentum variance larger in the y direction than in the x direction. This behavior of the variance in a many-particle system is counterintuitive. It suggests using the variance as a tool to characterize the strength of correlations along the y and x directions in a trapped BEC.

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Section: A Staticsmentioning

confidence: 99%

Variance of an anisotropic Bose-Einstein condensate

et al. 2018

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“…Fragmentation of SO-coupled spinor BEC was studied in Ref. [50], and Anderson localization of cold atomic gases with the effective spin-orbit interaction in a quasiperiodic optical lattice was theoretically investigated in Ref. [51].…”

Section: Introductionmentioning

confidence: 99%

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

2014

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We consider a two-component pancake-shaped, i.e., effectively two-dimensional (2D), Bose-Einstein condensate coupled by the spin-orbit (SO) and Rabi terms. The SO coupling adopted here is of the mixed Rashba-Dresselhaus type. For this configuration, we derive a system of two 2D nonpolynomial Schrödinger equations (NPSEs), for both attractive and repulsive interatomic interactions. In the low- and high-density limits, the system amounts to previously known models, namely, the usual 2D Gross-Pitaevskii equation, or the Schrödinger equation with the nonlinearity of power 7/3. We present simple approximate localized solutions, obtained by treating the SO and Rabi terms as perturbations. Localized solutions of the full NPSE system are obtained in a numerical form. Remarkably, in the case of the attractive nonlinearity acting in free space (i.e., without any 2D trapping potential), we find parameter regions where the SO and Rabi couplings make 2D fundamental solitons dynamically stable

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“…Fragmentation has been recently demonstrated to emerge in single-component ultracold bosons coupled to a single-mode cavity for pump powers roughly four times as large as the pump power necessary to drive the system from the normal to the superradiant phase [30]. Importantly, fragmentation and consequently correlations are also known to be present in spinor condensates [37,[56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Many-body physics in two-component Bose–Einstein condensates in a cavity: fragmented superradiance and polarization

et al. 2018

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We consider laser-pumped one-dimensional two-component bosons in a parabolic trap embedded in a high-finesse optical cavity. Above a threshold pump power, the photons that populate the cavity modify the effective atom trap and mediate a coupling between the two components of the Bose-Einstein condensate. We calculate the ground state of the laser-pumped system and find different stages of selforganization depending on the power of the laser. The modified potential and the laser-mediated coupling between the atomic components give rise to rich many-body physics: an increase of the pump power triggers a self-organization of the atoms while an even larger pump power causes correlations between the self-organized atoms-the BEC becomes fragmented and the reduced density matrix acquires multiple macroscopic eigenvalues. In this fragmented superradiant state, the atoms can no longer be described as two-level systems and the mapping of the system to the Dicke model breaks down.

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Fragmentation of spin-orbit-coupled spinor Bose-Einstein condensates

Cited by 31 publications

References 42 publications

Variance of an anisotropic Bose-Einstein condensate

Variance of an anisotropic Bose-Einstein condensate

Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

Many-body physics in two-component Bose–Einstein condensates in a cavity: fragmented superradiance and polarization

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