Phases of the disordered Bose-Hubbard model with attractive interactions
Mansikkamäki, Olli; Laine, Sami; Silveri, Matti (2021-06-23)
Mansikkamäki, O., Laine, S., & Silveri, M. (2021). Phases of the disordered Bose-Hubbard model with attractive interactions. Physical Review B, 103(22). https://doi.org/10.1103/physrevb.103.l220202
© 2021 American Physical Society.
https://rightsstatements.org/vocab/InC/1.0/
https://urn.fi/URN:NBN:fi-fe2021062940595
Tiivistelmä
Abstract
We study the quantum ground-state phases of the one-dimensional disordered Bose-Hubbard model with attractive interactions, realized by a chain of superconducting transmon qubits or cold atoms. We map the phase diagram using perturbation theory and exact diagonalization. Compared to the repulsive Bose-Hubbard model, the quantum ground-state behavior is dramatically different. At strong disorder of the on-site energies, all the bosons localize into the vicinity of a single site, contrary to the Bose glass behavior of the repulsive model. At weak disorder, depending on hopping, the ground state is either superfluid or a W state, which is a multisite and multiparticle entangled superposition of states where all the bosons occupy a single site. We show that the robustness of theW phase against disorder diminishes as the total number of bosons increases.
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