Disordered solid to Bose-glass transition in Bose-Hubbard model with disorder and long-range interactions

Fuente: arXiv
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Main Authors: Pebam, Kohenjit, Angom, Laxmi, Thoudam, Bhumika, Hrangbung, Momin, Gaur, Deepak, Angom, Dilip
Format: Preprint
Published: 2025
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author Pebam, Kohenjit
Angom, Laxmi
Thoudam, Bhumika
Hrangbung, Momin
Gaur, Deepak
Angom, Dilip
author_facet Pebam, Kohenjit
Angom, Laxmi
Thoudam, Bhumika
Hrangbung, Momin
Gaur, Deepak
Angom, Dilip
contents The introduction of disorder in Bose-Hubbard model gives rise to new glassy quantum phases, namely the Bose-glass (BG) and disordered solid (DS) phases. In this work, we present the rich phase diagram of interacting bosons in disordered two-dimensional optical lattice, modelled by the disordered Bose-Hubbard model. We systematically probe the effect of long-range interaction truncated to the nearest neighbors and next-nearest neighbors on the phase diagram. We investigate the zero-temperature ground-state quantum phases using the single-site Gutzwiller mean field (SGMF) theory. We also employ strong-coupling perturbative expansion to identify the nature of ground-state solid phases analytically. At sufficiently high disorder strength, we observe a quantum phase transition between the DS and BG phases. We have investigated this transition in greater detail using cluster Gutzwiller mean field theory to study the effect of inter-site correlations which is absent in the SGMF method. We have also studied this phase transition from the perspective of percolation theory.
format Preprint
id arxiv_https___arxiv_org_abs_2505_04476
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Disordered solid to Bose-glass transition in Bose-Hubbard model with disorder and long-range interactions
Pebam, Kohenjit
Angom, Laxmi
Thoudam, Bhumika
Hrangbung, Momin
Gaur, Deepak
Angom, Dilip
Quantum Gases
The introduction of disorder in Bose-Hubbard model gives rise to new glassy quantum phases, namely the Bose-glass (BG) and disordered solid (DS) phases. In this work, we present the rich phase diagram of interacting bosons in disordered two-dimensional optical lattice, modelled by the disordered Bose-Hubbard model. We systematically probe the effect of long-range interaction truncated to the nearest neighbors and next-nearest neighbors on the phase diagram. We investigate the zero-temperature ground-state quantum phases using the single-site Gutzwiller mean field (SGMF) theory. We also employ strong-coupling perturbative expansion to identify the nature of ground-state solid phases analytically. At sufficiently high disorder strength, we observe a quantum phase transition between the DS and BG phases. We have investigated this transition in greater detail using cluster Gutzwiller mean field theory to study the effect of inter-site correlations which is absent in the SGMF method. We have also studied this phase transition from the perspective of percolation theory.
title Disordered solid to Bose-glass transition in Bose-Hubbard model with disorder and long-range interactions
topic Quantum Gases
url https://arxiv.org/abs/2505.04476