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Characterizing quantum critical states towards the thermodynamic limit is essential for understanding phases of matter. The power of quantum simulators for preparing the critical states relies crucially on the structure of quantum circuits…

Quantum Physics · Physics 2026-03-31 Mei Peng , Xu-Dan Xie , Dan-Bo Zhang

Physical systems close to a quantum phase transition exhibit a divergent susceptibility, suggesting that an arbitrarily-high precision may be achieved by exploiting quantum critical systems as probes to estimate a physical parameter.…

Quantum Physics · Physics 2020-03-30 Louis Garbe , Matteo Bina , Arne Keller , Matteo G. A. Paris , Simone Felicetti

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

We consider the Rabi Hamiltonian which exhibits a quantum phase transition (QPT) despite consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving an exact solution in the limit where the atomic transition…

Quantum Physics · Physics 2015-10-30 Myung-Joong Hwang , Ricardo Puebla , Martin B. Plenio

Parametrically driven nonlinear resonators represent a building block for realizing fault-tolerant quantum computation and are useful for critical quantum sensing. From a fundamental viewpoint, the most intriguing feature of such a system…

Quantum Physics · Physics 2024-07-08 Hao-Long Zhang , Jia-Hao Lv , Ken Chen , Xue-Jia Yu , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

Anisotropic quantum Rabi model is a generalization of quantum Rabi model, which allows its rotating and counter-rotating terms to have two different coupling constants. It provides us with a fundamental model to understand various physical…

Quantum Physics · Physics 2019-03-18 Gangcheng Wang , Ruoqi Xiao , H. Z. Shen , Chunfang Sun , Kang Xue

The goal of this chapter is to compare the predictions of the semiclassical Rabi model (SRM), which describes the interaction between a two-level system (qubit) and a classical monochromatic wave, and the quantum Rabi model (QRM), under the…

Quantum Physics · Physics 2025-07-14 Alexandre P. Costa , Alexandre Dodonov

We propose concrete protocols to realize quantum criticality due to excited-state quantum phase transitions (ESQPTs) experimentally in presumably the simplest and most resilient system involving a single trapped ion oscillating in a…

Quantum Physics · Physics 2026-04-07 Marek Kuchař , Michal Macek

A two-qutrit extension of the quantum Rabi model is studied. Despite its increased complexity, the model results to be integrable under specific, physically relevant conditions. This feature allows for the emergence of analytically…

Quantum Physics · Physics 2026-04-23 R. Grimaudo , A. S. M. De Castro , G. Falci , A. Messina , E. Paladino , A. Messina , N. V. Vitanov

The asymmetric quantum Rabi model (AQRM), which describes the interaction between a quantum harmonic oscillator and a biased qubit, arises naturally in circuit quantum electrodynamic circuits and devices. The existence of hidden symmetry in…

Quantum Physics · Physics 2021-09-10 Zi-Min Li , Devid Ferri , David Tilbrook , Murray T. Batchelor

Quantum correlations and non-classical states are indispensable resources for advancing quantum technologies, and their resilience at finite temperatures is crucial for practical experimental implementations. The two-qubit quantum Rabi…

The Quantum Rabi model serves as a pivotal theoretical framework for elucidating the nuanced interplay between light and matter. Utilizing circuit quantum electrodynamics on a chip, we address the challenge of achieving deep strong coupling…

Quantum Physics · Physics 2024-02-20 Noureddine Rochdi , Atta ur Rahman , Rachid Ahl Laamara , Mohamed Bennai

The ground state of quantum Rabi model (QRM) exhibits rich nonclassical states including squeezed state, cat state, and entangled state in different parameter regimes. In this paper, we firstly use the polaron picture to figure out the…

Quantum Physics · Physics 2022-11-30 Junpeng Liu , Miaomiao Zhao , Yun-Tong Yang , Hong-Gang Luo

Quantum Rabi model (QRM) is widely used for the analysis of the radiation-matter interaction at the fundamental level in cavity quantum electrodynamics. Typically the QRM Hamiltonian includes only $\boldsymbol{\mathsf{p}} \cdot…

Quantum Physics · Physics 2020-02-20 I. D. Feranchuk , N. Q. San , A. U. Leonau , O. D. Skoromnik

The act of measurement bridges the quantum and classical worlds by projecting a superposition of possible states into a single, albeit probabilistic, outcome. The time-scale of this "instantaneous" process can be stretched using weak…

Mesoscale and Nanoscale Physics · Physics 2012-10-11 R. Vijay , C. Macklin , D. H. Slichter , S. J. Weber , K. W. Murch , R. Naik , A. N. Korotkov , I. Siddiqi

Quantum tricriticality, a unique form of high-order criticality, is expected to exhibit fascinating features including unconventional critical exponents and universal scaling laws. However, a quantum tricritical point (QTCP) is much harder…

Quantum Physics · Physics 2024-02-21 You-Qi Lu , Yu-Yu Zhang

The quantum Rabi model (QRM) describes the interaction between a two-level system (qubit) and a quantum harmonic oscillator. In the limit where the qubit frequency is smaller than the harmonic frequency, the QRM can be well approximated by…

Quantum Physics · Physics 2021-09-24 Zi-Min Li , Murray T. Batchelor

We explore the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. Through a combination of analytical and numerical approaches, we find that the model allows the appearance of a superradiant…

Quantum Physics · Physics 2020-06-30 Yimin Wang , Maoxin Liu , Wen-Long You , Stefano Chesi , Hong-Gang Luo , Hai-Qing Lin

The quantum Rabi model (QRM) is used to describe the light-matter interaction at the quantum level in Cavity Quantum Electrodynamics (Cavity QED). It consists of a two-level system (atom or qubit) coupled to a single-mode quantum field, and…

Quantum Physics · Physics 2024-09-10 Zakaria Boutakka , Zoubida Sakhi , Mohamed Bennai

Quantum criticality usually occurs in many-body systems. Recently it was shown that the quantum Rabi model, which describes a two-level atom coupled to a single model cavity field, presents quantum phase transitions from a normal phase to a…

Quantum Physics · Physics 2018-01-30 Bo-Bo Wei , Xiao-Chen Lv