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.

Submitted to NJP

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• Self-assembling tensor networks and holography in disordered spin chains
• Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
• Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Entanglement in disordered superfluids: the impact of density, interaction and harmonic confinement on the Superconductor-Insulator transition
• Multi-mode Bose-Hubbard model for quantum dipolar gases in confined geometries
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
• Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas