Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas
arXiv:1010.3137 · doi:10.1103/PhysRevA.83.033626
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.
5 pages, 4 figures
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Cited by in corpus (5)
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- Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
- Superfluid/Bose-glass transition in one dimension
- Equivalent dynamical complexity in a many-body quantum and collective human system
- Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas