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

Abstract : 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.
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Submitted on : Tuesday, July 9, 2013 - 12:35:22 PM
Last modification on : Friday, February 22, 2019 - 4:54:02 PM

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Xiaolong Deng, Roberta Citro, Edmond Orignac, Anna Minguzzi, Luis Santos. Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices. New Journal of Physics, Institute of Physics: Open Access Journals, 2013, 15, pp.045023. ⟨10.1088/1367-2630/15/4/045023⟩. ⟨ensl-00842755⟩

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