University of Oulu

Mansikkamäki, O., Laine, S., & Silveri, M. (2021). Phases of the disordered Bose-Hubbard model with attractive interactions. Physical Review B, 103(22).

Phases of the disordered Bose-Hubbard model with attractive interactions

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Author: Mansikkamäki, Olli1; Laine, Sami1; Silveri, Matti1
Organizations: 1Nano and Molecular Systems Research Unit, University of Oulu, P.O. Box 3000, FI-90014 Oulu, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 0.8 MB)
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Language: English
Published: American Physical Society, 2021
Publish Date: 2021-06-29


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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Series: Physical review. B
ISSN: 2469-9950
ISSN-E: 2469-9969
ISSN-L: 2469-9950
Volume: 103
Issue: 22
Article number: L220202
DOI: 10.1103/PhysRevB.103.L220202
Type of Publication: A1 Journal article – refereed
Field of Science: 114 Physical sciences
Funding: This research work was financially supported by the Alfred Kordelin foundation, the Emil Aaltonen foundation, the Kvantum Institute of the University of Oulu, and the Academy of Finland under Grants No. 316619 and No. 320086.
Academy of Finland Grant Number: 316619
Detailed Information: 316619 (Academy of Finland Funding decision)
320086 (Academy of Finland Funding decision)
Copyright information: © 2021 American Physical Society.