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INTERACTING BOSE-EINSTEIN CONDENSATES IN RANDOM POTENTIALS

Philippe Bouyer, Laurent Sanchez-Palencia, David Clément +2 more

Laser SpectroscopyApr 1, 20080 citations

Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials

I. N. de Oliveira, F. A. B. F. de Moura, R. A. Caetano +1 more

A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the one-particle density of states. Here, we show that scale-free correlations in the random potential suppress the disorder induced Bose-Einstein condensation (BEC). Within a tight-binding approach, we consider free Bosons moving in a scale-free correlated random potential with spectral density decaying as $1/{k}^{\ensuremath{\alpha}}$. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential $(\ensuremath{\alpha}>1)$. On the other hand, a weaker suppression of BEC takes place in nonbinarized scale-free potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent $\ensuremath{\alpha}\ensuremath{\rightarrow}\ensuremath{\infty}$.A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the one-particle density of states. Here, we show that scale-free correlations in the random potential suppress the disorder induced Bose-Einstein condensation (BEC). Within a tight-binding approach, we consider free Bosons moving in a scale-free correlated random potential with spectral density decaying as $1/{k}^{\ensuremath{\alpha}}$. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential $(\ensuremath{\alpha}>1)$. On the other hand, a weaker suppression of BEC takes place in nonbinarized scale-free potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent $\ensuremath{\alpha}\ensuremath{\rightarrow}\ensuremath{\infty}$.

Physical Review BNov 2, 20108 citations

Interacting Bose-Einstein condensates in random potentials

Laurent Sanchez-Palencia, Dimitri M. Gangardt, Philippe Bouyer +2 more

May 1, 20060 citations

BCS-BEC Crossover in a Random External Potential

Giuliano Orso

We investigate the ground state properties of a disordered superfluid Fermi gas across the BCS-BEC (Bose-Einstein condensate) crossover. We show that, for weak disorder, both the depletion of the condensate fraction of pairs and the normal fluid density exhibit a nonmonotonic behavior as a function of the interaction parameter 1/k{F}a, reaching their minimum value near unitarity. We find that, moving away from the weak-coupling BCS regime, Anderson's theorem ceases to apply and the superfluid order parameter is more and more affected by the random potential.We investigate the ground state properties of a disordered superfluid Fermi gas across the BCS-BEC (Bose-Einstein condensate) crossover. We show that, for weak disorder, both the depletion of the condensate fraction of pairs and the normal fluid density exhibit a nonmonotonic behavior as a function of the interaction parameter 1/k{F}a, reaching their minimum value near unitarity. We find that, moving away from the weak-coupling BCS regime, Anderson's theorem ceases to apply and the superfluid order parameter is more and more affected by the random potential.

arXiv:0709.2621Physical Review LettersDec 17, 200738 citations

Bose-Einstein condensation in a random potential

Derek K. K. Lee, J.M.F. Gunn

Physica B Condensed MatterAug 1, 19904 citations

Localization of an inhomogeneous Bose-Einstein condensate in a moving random potential

Ardavan Alamir, P. Capuzzi, Patrizia Vignolo

We study the dynamics of a harmonically trapped quasi-one-dimensional Bose-Einstein condensate subjected to a moving disorder potential of finite extent. We show that, due to the inhomogeneity of the sample, only a percentage of the atoms is localized at supersonic velocities of a random potential. We find that this percentage can be sensitively increased by introducing suitable correlations in the disorder potential such as those provided by random dimers.

arXiv:1210.0657Physical Review ADec 28, 20124 citations

Moving binary Bose-Einstein condensates in a weak random potential

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