Localization of a two-component Bose–Einstein condensate in a one-dimensional random potential

Xi, Kui-Tian; Li, Jinbin; Shi, Dan

doi:10.1016/j.physb.2014.11.068

Cited by 15 publications

(7 citation statements)

References 41 publications

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“…In the case of ordinary BECs, the peculiar interplay of disorder and interactions plays a crucial role in understanding complex phenomena and quantum phases in ultracold gases namely: the Bose glass [27][28][29][30][31], Anderson localization [32][33][34][35][36][37][38][39][40][41], disordered BEC in optical lattices [42][43][44][45], the superglass phase (see e.g [46]), and dipolar BEC in random potentials [47][48][49][50][51][52][53]. Recently, we discussed the properties of movable and immovable disordered Bose-Bose mixtures [54][55][56][57][58].…”

Section: Introductionmentioning

confidence: 99%

Self-bound droplets with uncorrelated disordered potentials

Abbas,

Boudjemâa

2024

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

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We investigate the effects of an external random $\delta$-correlated potential on the bulk properties of self-bound droplets in three-dimensional binary Bose-Einstein condensates.The ground-state energy and the quantum fluctuation induced by disorder are computed utilizing the Bogoliubov theory.We provide a comprehensive stability phase-diagram for the resulting dirty droplets.At finite temperature, we calculate the free energy, and the thermal equilibrium density in terms of the disorder parameters. We show that the intriguing interplay of the thermal correction and the disorder may dissolve the droplet.

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Section: Introductionmentioning

confidence: 99%

Self-bound droplets with uncorrelated disordered potentials

Abbas,

Boudjemâa

2024

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

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“…Ultra-cold atomic systems take a different approach to studies and simulations of disordered systems. The external potentials used for observing the disturbance effects and Anderson localization in Bose-Einstein condensate (BEC) are disordered potentials generated by laser speckle [9,[13][14][15][16][17] and optical lattices [12,[18][19][20][21]. Both types of potentials can be obtained by optical means.…”

Section: Introductionmentioning

confidence: 99%

“…Deissler et al studied the effects of interactions by using Feshbach resonance and reported the impact of the competition between interactions and disorder on localization [34]. The effects of interactions between atoms on Anderson localization in one-and two-component BEC were investigated in [14,17,21]. In reference [14], the localization of one-component BEC trapped by random potential was investigated by numerical and variational methods.…”

Section: Introductionmentioning

confidence: 99%

Anderson localization and quenched induced dynamics of spin orbit coupled Bose–Einstein condensate in a random potential

Oztas,

Nabiollahi

2024

Phys. Scr.

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We consider the localization and dynamical properties of a one dimensional spin orbit coupled Bose–Einstein condensate trapped by a disordered speckle potential. We numerically solve coupled Gross–Pitaevskii equation to obtain ground sate solutions. The effects of spin–orbit coupling and detuning parameter on localization are investigated. It is found that the increase of spin–orbit coupling delocalizes the condensate while the increase of detuning favors localization. After achieving the numerical ground state solutions, we examine the quench induced dynamics of the condensate by the complete cessation of the spin–orbit coupling. We show that at parameters where the ground state is not localized, the dynamics of the system is chaotic.

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“…Dilute Bose-Bose gases in a weak disorder potential has recently undergone a resurgence due to their fascinating properties (see e.g. [3][4][5][6]). One of the most amazing features arising from the presence of the disorder in Bose mixture quantum gases is the modification of the miscibility criterion and the dramatic phase separation between the two species [1].…”

Section: Introductionmentioning

confidence: 99%

Binary Bose–Einstein condensates in a disordered time-dependent potential

Abbas¹,

Boudjemâa²

2022

J. Phys.: Condens. Matter

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We study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a closed set of equations that highlight the role of the spectacular interplay between the disorder and the interspecies interactions in the time evolution of the density induced by disorder in each component. It is found that this latter increases with time favoring localization of both species. The time scale at which the theory remains valid depends on the respective system parameters. We show analytically and numerically that such a system supports a steady state that periodically changing during its time propagation. The obtained dynamical corrections indicate that disorder may transform the system into a stationary out-of-equilibrium states. Understanding this time evolution is pivotal for the realization of Floquet condensates.

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Localization of a two-component Bose–Einstein condensate in a one-dimensional random potential

Cited by 15 publications

References 41 publications

Self-bound droplets with uncorrelated disordered potentials

Self-bound droplets with uncorrelated disordered potentials

Anderson localization and quenched induced dynamics of spin orbit coupled Bose–Einstein condensate in a random potential

Binary Bose–Einstein condensates in a disordered time-dependent potential

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