Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity

Boudjemâa, Abdelâali; Abbas, Karima

doi:10.1103/physreva.102.023325

Cited by 10 publications

(25 citation statements)

References 61 publications

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“…where n HM± = nmR 0 /(4πh 3 c s± ). For v = 0, one can reproduce the result of immovable dirty binary BECs obtained in our recent work [28]. Equation (18) shows that n R± is decreasing with increasing v/c ± indicating that the velocity of two BECs lead to tune the disorder fluctuations ensuring the existence of the condensate.…”

supporting

confidence: 59%

“…Evidently, for v = 0, Eq. ( 22) reduces to that of a dirty immovable mixture [28]. Again corrections due to the relative motion effects may lead to decrease the chemical potential of the system.…”

mentioning

confidence: 99%

“…On the other hand, Bose-Bose mixtures in random potentials have attracted immense attention in recent years [24][25][26][27][28]. Quite recently, we have found that the competition between the interspecies interactions and the disorder potential may affect the localization, the stability condition, the thermodynamics, and the superfluid density in each component of the mixture [28].…”

mentioning

confidence: 99%

“…A quantitative condition for weak disorder will be determined later on. Bogoliubov quasiparticles and disorder-induced fluctuations decouple in the lowest order [29], implying that at zero temperature and in the dilute regime, the dynamics of such a system can be governed by the coupled Gross-Pitaevskii equations (GPE) [28]…”

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confidence: 99%

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Moving binary Bose-Einstein condensates in a weak random potential

Boudjemaa

2021

Preprint

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We study the behavior of moving Bose-Bose mixtures in a weak disordered potential in the realm of the Bogoliubov-Huang-Meng theory. Corrections due to the quantum fluctuations, disorder effects and the relative motion of two fluids to the glassy fraction, the condensed depletion, the anomalous density, and the equation of state of each species are obtained analytically for small velocity. We show that the intriguing interplay of the relative motion and the disorder potential could not only change the stability condition, but destroy also the localization process in the two condensates preventing the formation of a Bose glass state. Unexpectedly, we find that the quantum fluctuations reduce with the velocity of the two fluids. The obtained theoretical predictions are checked by our numerical results.

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confidence: 59%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Moving binary Bose-Einstein condensates in a weak random potential

Boudjemaa

2021

Preprint

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“…Ultracold Bose-Bose mixtures of atomic gases in disordered media have attracted tremendous attention due to the high degree of control over interspecies interactions and disorder effects (see e.g. [1][2][3]). An eminent property of such binary Bose-Einstein condensates (BECs) is the possibility to form quantum self-bound droplets, originating from the competition of mean-field attraction and beyond-mean-field repulsion provided by the Lee-Huang-Yang (LHY) corrections [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Quantum liquid droplets in Bose mixtures with weak disorder

Abbas,

Boudjemaa

2023

Preprint

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We study the properties of self-bound liquid droplets of three-dimensional Bose mixtures in a weak random potential with Gaussian correlation function at both zero and finite temperatures. Using the Bogoliubov theory, we derive useful formulas for the ground-state energy, the equilibrium density, the depletion, and the anomalous density of the droplet. The quantum fluctuation induced by the disorder known as the glassy fraction is also systematically computed. At finite temperature, we calculate the free energy, the thermal equilibrium density, and the critical temperature in terms of the disorder parameters. We show that when the strength and the correlation length of the disorder potential exceed a certain critical value, the droplet evaporates and is eventually entirely destroyed. We calculate the density profiles of this exotic state by means of numerical simulations of the corresponding generalized disorder Gross-Pitaevskii equation. Our predictions reveal that as the strength of the disorder gets larger, the atomic density varies rapidly in the plateau region. We point out in addition that the peculiar interplay of the disorder and the repulsive Lee-Huang-Yang corrections play a pivotal role in the collective modes of the self-bound droplet.

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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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Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity

Cited by 10 publications

References 61 publications

Moving binary Bose-Einstein condensates in a weak random potential

Moving binary Bose-Einstein condensates in a weak random potential

Quantum liquid droplets in Bose mixtures with weak disorder

Self-bound droplets with uncorrelated disordered potentials

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