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Main Authors: Wang, Kang, Chang, Wei-Xuan, Bi, Cheng-Yu, Cai, Zi, Li, Zi-Xiang
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.13657
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author Wang, Kang
Chang, Wei-Xuan
Bi, Cheng-Yu
Cai, Zi
Li, Zi-Xiang
author_facet Wang, Kang
Chang, Wei-Xuan
Bi, Cheng-Yu
Cai, Zi
Li, Zi-Xiang
contents In cavity quantum materials, entangling strongly correlated electrons with quantum light provides a unique opportunity to explore novel quantum phases and phase transitions absent in conventional solid-state materials. In this study, we develop a sign-problem-free fermion-photon hybrid Quantum Monte Carlo (QMC) algorithm, and use it to systematically investigate the ground-state phase diagram of a two-dimensional cavity Hubbard model. It is shown that the interplay between the electron correlation and photon condensation gives rise to intriguing quantum phases ({\it e.g.} superradiant antiferromagnetic and chiral/$π$-flux states), and different quantum phase transitions, such as a first-order superradiant phase transition and a continuous phase transition with Gross-Neveu universality class. The methodology can be readily generalized to more complicated cavity strongly correlated models.
format Preprint
id arxiv_https___arxiv_org_abs_2603_13657
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Superradiant strongly correlated quantum states in cavity Hubbard model
Wang, Kang
Chang, Wei-Xuan
Bi, Cheng-Yu
Cai, Zi
Li, Zi-Xiang
Strongly Correlated Electrons
In cavity quantum materials, entangling strongly correlated electrons with quantum light provides a unique opportunity to explore novel quantum phases and phase transitions absent in conventional solid-state materials. In this study, we develop a sign-problem-free fermion-photon hybrid Quantum Monte Carlo (QMC) algorithm, and use it to systematically investigate the ground-state phase diagram of a two-dimensional cavity Hubbard model. It is shown that the interplay between the electron correlation and photon condensation gives rise to intriguing quantum phases ({\it e.g.} superradiant antiferromagnetic and chiral/$π$-flux states), and different quantum phase transitions, such as a first-order superradiant phase transition and a continuous phase transition with Gross-Neveu universality class. The methodology can be readily generalized to more complicated cavity strongly correlated models.
title Superradiant strongly correlated quantum states in cavity Hubbard model
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2603.13657