Superfluid behavior of a Bose–Einstein condensate in a random potential

Könenberg, Martin; Moser, Thomas; Seiringer, Robert; Yngvason, Jakob

doi:10.1088/1367-2630/17/1/013022

Cited by 14 publications

(22 citation statements)

References 36 publications

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“…This statement concerns the usual thermodynamic limit. We note that other limiting regimes are possible, corresponding to mean-field type interactions, where both BEC and superfluidity can prevail at zero temperature [30,50] (see also [8,29,54] for related results). The proof of theorem 2.4 will be given in section 4.…”

Section: Absence Of Superfluiditymentioning

confidence: 78%

Decay of correlations and absence of superfluidity in the disordered Tonks–Girardeau gas

Seiringer

Warzel

2016

New J. Phys.

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We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Moreover, there is no Bose-Einstein condensation and no superfluidity, even at zero temperature. w w = + < OPEN ACCESS RECEIVED

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Section: Absence Of Superfluiditymentioning

confidence: 78%

Decay of correlations and absence of superfluidity in the disordered Tonks–Girardeau gas

Seiringer

Warzel

2016

New J. Phys.

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“…Various derivations of this result have been published [22,26,37], none of them quite as short or elementary, it seems. The superfluid fraction is bounded by f s ≤ 1 because it is the continuum limit of the harmonic mean of random variables y i = n(x i )/n 0 at discrete points x i [21].…”

Section: Discussionmentioning

confidence: 93%

Full distribution of the superfluid fraction and extreme value statistics in a one-dimensional disordered Bose gas

Albert

Müller

2020

Phys. Rev. A

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The full statistical distribution of the superfluid fraction characterizing one-dimensional Bose gases in random potentials is discussed. Rare configurations with extreme fluctuations of the disorder potential can fragment the condensate and reduce the superfluid fraction to zero. The resulting bimodal probability distribution for the superfluid fraction is calculated numerically in the quasi-1D mean-field regime of ultracold atoms in laser speckle potentials. Using extreme-value statistics, an analytical scaling of the zero-superfluid probability as function of disorder strength, disorder correlation length and system size is presented. It is argued that similar results can be expected for point-like impurities, and that these findings are in reach for present-day experiments.

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“…Note that if the support of δV has a bounded support Ω so has B(δV ). We will use the Combes-Thomas estimate (20) for y 1 , y 2 outside Ω. Remark that if we choose the loop C correctly, ν does not depend on z but only on the size on the gap.…”

Section: Local Influencementioning

confidence: 99%

“…Finite interacting systems have been recently considered in several works [13,2,19,15] but infinite systems have not been studied thoroughly. One should however mention a series of works on superfluidity and Bose-Einstein condensation in the Lieb-Liniger 1D Bose gas in a strong random potential [26,20], and the very recent article of Seiringer and Warzel [25] on the 1D Tonks-Girardeau gas.…”

Section: Introductionmentioning

confidence: 99%

Anderson localisation for infinitely many interacting particles in Hartree–Fock theory

Ducatez

2018

J. Spectr. Theory

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We prove the occurrence of Anderson localisation for a system of infinitely many particles interacting with a short range potential, within the ground state Hartree-Fock approximation. We assume that the particles hop on a discrete lattice and that they are submitted to an external periodic potential which creates a gap in the non-interacting one particle Hamiltonian. We also assume that the interaction is weak enough to preserve a gap. We prove that the mean-field operator has exponentially localised eigenvectors, either on its whole spectrum or at the edges of its bands, depending on the strength of the disorder.

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Superfluid behavior of a Bose–Einstein condensate in a random potential

Cited by 14 publications

References 36 publications

Decay of correlations and absence of superfluidity in the disordered Tonks–Girardeau gas

Decay of correlations and absence of superfluidity in the disordered Tonks–Girardeau gas

Full distribution of the superfluid fraction and extreme value statistics in a one-dimensional disordered Bose gas

Anderson localisation for infinitely many interacting particles in Hartree–Fock theory

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