Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas

Abstract

We investigate the superfluid-insulator quantum phase transition in a disordered 1D Bose gas in the mean field limit, by studying the probability distribution of the density. The superfluid phase is characterized by a vanishing probability to have zero density, whereas a nonzero probability marks the insulator phase. This relation is derived analytically, and confirmed by a numerical study. This fragmentation criterion is particularly suited for detecting the phase transition in experiments. When a harmonic trap is included, the transition to the insulating phase can be extracted from the statistics of the local density distribution.

arXiv comment5 pages, 4 figures

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Cited by in corpus (11)

• Phase transition of interacting disordered bosons in one dimension
• Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
• Direct Observation of Fragmentation in a Disordered, Strongly Interacting Fermi Gas
• The superfluid insulator transition of ultra-cold bosons in disordered 1d traps
• Superfluid/Bose-glass transition in one dimension
• Equivalent dynamical complexity in a many-body quantum and collective human system
• Anderson localization of Bogoliubov excitations on quasi-1D strips
• Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas
• Superfluid-insulator transition in weakly interacting disordered Bose gases: a kernel polynomial approach
• Self-consistent T-matrix approach to Bose-glass in one dimension
• Disorder Effects on Exciton-Polariton Condensates