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arXiv · 1503.02973

Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model

Andrew M. Goldsborough·Rudolf A. Römer
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Abstract

We perform a matrix product state based density matrix renormalisation group analysis of the phases for the disordered one-dimensional Bose-Hubbard model. For particle densities N/L = 1, 1/2 and 2 we show that it is possible to obtain a full phase diagram using only the entanglement properties, which come "for free" when performing an update. We confirm the presence of Mott insulating, superfluid and Bose glass phases when N/L = 1 and 1/2 (without the Mott insulator) as found in previous studies. For the N/L = 2 system we find a double lobed superfluid phase with possible reentrance.

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Andrew M. Goldsborough, Rudolf A. Römer. 2015-03-10. Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model. https://doi.org/10.1209/0295-5075/111/26004

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