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

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

2010-10-15

arxiv.org/abs/1010.3137v1

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures

Scientific paper

10.1103/PhysRevA.83.033626

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.

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