1302.0528 (X. Deng et al.)

Bosonization and entanglement spectrum for one-dimensional polar bosons
on disordered lattices    [PDF]

X. Deng, R. Citro, E. Orignac, A. Minguzzi, L. Santos

The extended Bose-Hubbard model subjected to a disordered potential is predicted to display a rich phase diagram. In the case of uniform random disorder one finds two insulating quantum phases -- the Mott-insulator and the Haldane insulator -- in addition to a superfluid and a Bose glass phase. In the case of a quasiperiodic potential further phases are found, eg the incommensurate density wave, adiabatically connected to the Haldane insulator. For the case of weak random disorder we determine the phase boundaries using a perturbative bosonization approach. We then calculate the entanglement spectrum for both types of disorder, showing that it provides a good indication of the various phases.

View original: http://arxiv.org/abs/1302.0528