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By using a previously established exact characterization of the ground state of random potential systems in the thermodynamic limit, we determine the ground and first excited energy levels of quantum random energy models, discrete and…

Statistical Mechanics · Physics 2018-10-09 Carlo Presilla , Massimo Ostilli

In this manuscript, we analyze the mechanism of the superradiant phase transition in the anisotropic Rabi model under the classical oscillator limit using the pattern picture. By expanding the anisotropic Rabi model Hamiltonian in operator…

Quantum Physics · Physics 2026-05-07 Yuan Qiu , Ke-Xiong Yan , Jun-Hao Lin , Jie Song , Ye-Hong Chen , Yan-Xia

The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase…

Strongly Correlated Electrons · Physics 2024-07-03 Hao-Long Zhang , Han-Ze Li , Sheng Yang , Xue-Jia Yu

In quantum many-body system, dimensionality plays a critical role on type of the quantum phase transition. In order to study the quantum system during dimensional crossover, we studied the Bose-Hubbard model on cubic lattice with…

Quantum Gases · Physics 2020-08-05 Tao Wang , Xue-Feng Zhang

In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy,…

Strongly Correlated Electrons · Physics 2021-06-15 Yuchi He , Kang Yang , Mark Oliver Goerbig , Roger S. K. Mong

In this paper the entanglement and quantum phase transition of the anisotropic s=1/2 XY model are studied by using the quantum renormalization group method. By solving the renormalization equations, we get the trivial fixed point and the…

Statistical Mechanics · Physics 2015-05-28 Fu-Wu Ma , Sheng-Xin Liu , Xiang-Mu Kong

Quantum systems that undergo quantum phase transitions exhibit divergent susceptibility and can be exploited as probes to estimate physical parameters. We generalize the dynamic framework for criticality-enhanced quantum sensing by the…

Quantum Physics · Physics 2023-03-01 Xin Zhu , Jia-Hao Lü , Wen Ning , Fan Wu , Li-Tuo Shen , Zhen-Biao Yang , Shi-Biao Zheng

We consider the phase-transition-like behaviour in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly…

Quantum Physics · Physics 2013-12-30 S. Ashhab

The experimental observation of quantum phase transitions predicted by the quantum Rabi model in quantum critical systems is usually challenging due to the lack of signature experimental observables associated with them. Here, we describe a…

We adopt a three-level bosonic model to investigate the quantum phase transition in an ultracold atom-molecule conversion system which includes one atomic mode and two molecular modes. Through thoroughly exploring the properties of energy…

Quantum Physics · Physics 2013-07-12 Sheng-Chang Li , Li-Bin Fu , Fu-Li Li

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

In this work,we employ a unitary transformation with a suitable parameter to convert the quantum Rabi-Stark model into a Jaynes-Cummings-like model. Subsequently, we derive the analytical energy spectra in the ultrastrong coupling regime.…

Quantum Physics · Physics 2023-08-28 Gen Li , Hao Zhu , Guo-Feng Zhang

Symmetry-breaking quantum phase transitions lead to the production of topological defects or domain walls in a wide range of physical systems. In second-order transitions, these exhibit universal scaling laws described by the Kibble-Zurek…

Quantum Gases · Physics 2025-04-15 Matthew T. Wheeler , Hayder Salman , Magnus O. Borgh

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

We study ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit system. In the one-qubit case, three second-order transitions occur and the Goldstone mode emerges under the condition of ultrastrong-coupling strength.…

Quantum Physics · Physics 2017-04-19 Wen-Juan Yang , Xiang-Bin Wang

A variational approach based on Bogoliubov inequality for the free energy is employed in order to treat the quantum spin-$1$ anisotropic ferromagnetic Heisenberg model in the presence of a crystal field. Within the Bogoliubov scheme an…

Statistical Mechanics · Physics 2013-11-28 Diego da Cunha Carvalho , João Antônio Plascak , Luizdarcy de Matos Castro

The role of nonstoquasticity in the field of quantum annealing and adiabatic quantum computing is an actively debated topic. We study a strongly-frustrated quasi-one-dimensional quantum Ising model on a two-leg ladder to elucidate how a…

We consider a generalization of the quantum Rabi model where the two-level system and the single-mode cavity oscillator are coupled by an additional Stark-like term. By adapting a method recently introduced by Braak [Phys. Rev. Lett. {\bf…

Quantum Physics · Physics 2023-09-08 Hans-Peter Eckle , Henrik Johannesson

We study the spin-boson model without the counterrotating terms by a numerically exact method based on variational matrix product states. Surprisingly, the second-order quantum phase transition (QPT) is observed for the sub-Ohmic bath in…

Statistical Mechanics · Physics 2019-09-05 Yan-Zhi Wang , Shu He , Liwei Duan , Qing-Hu Chen

We explore quantum phase transitions using two probes of quantum chaos: out-of-time-order correlators (OTOCs) and the $r$-parameter obtained from the level spacing statistics. In particular, we address $p$-spin models associated with…

High Energy Physics - Theory · Physics 2021-09-01 Kyoung-Bum Huh , Kazuki Ikeda , Viktor Jahnke , Keun-Young Kim