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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

We investigate the spectral properties and quantum criticality of the two-photon Rabi-Stark model. Using the exact solution of this model, we rigorously derive a condition for complete spectral collapse, where all bound states vanish. In…

Quantum Physics · Physics 2025-11-05 Jiong Li , Qing-Hu Chen

The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system.…

Quantum Physics · Physics 2022-07-25 Zu-Jian Ying , Simone Felicetti , Gang Liu , Daniel Braak

We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio $\eta$ of the atom energy…

Quantum Physics · Physics 2020-08-17 Yan Zhang , Bin-Bin Mao , Dazhi Xu , Yu-Yu Zhang , Wen-Long You , Maoxin Liu , Hong-Gang Luo

We investigate a generalized quantum Rabi model (QRM) with two- and four-photon terms with respect to applications for non-linear critical quantum metrology. In the introduced model, the spectral collapse occurring in the standard…

Quantum Physics · Physics 2025-08-26 Zu-Jian Ying , Hang-Hang Han , Bo-Jian Li , Simone Felicetti , Daniel Braak

We investigate the universally non-equilibrium dynamics of superradiant phase transition in the anisotropic quantum Rabi model. By introducing position and momentum operators, we obtain the ground states and their excitation gaps for both…

Quantum Physics · Physics 2021-10-27 Xunda Jiang , Bo Lu , Chengyin Han , Ruihuan Fang , Minhua Zhao , Zhu Ma , Tian Guo , Chaohong Lee

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

Spectral collapse, the transition from discrete to continuous spectrum, is a characteristic in quantum Rabi models. We explore this phenomenon in the two-photon quantum Rabi model in optical phase space and find that, in the so-called…

Quantum Physics · Physics 2020-07-01 R. J. Armenta Rico , F. H. Maldonado-Villamizar , B. M. Rodriguez-Lara

Critical quantum metrology exploits the dramatic growth of the quantum Fisher information near quantum phase transitions to enhance the precision of parameter estimation. This enhancement is commonly associated with a closing energy gap,…

Quantum Physics · Physics 2026-03-27 George Mihailescu , Karol Gietka

The precision of quantum sensing could be improved by exploiting quantum phase transitions, where the physical quantity tends to diverge when the system approaches the quantum critical point. This critical enhancement phenomenon has been…

Quantum Physics · Physics 2024-02-27 Shao-Bo Tang , Hao Qin , D. -Y. Wang , Kaifeng Cui , S. -L. Su , L. -L. Yan , Gang Chen

Spectral collapse in the two-photon quantum Rabi model (tpQRM) has long been regarded as incompatible with quantum criticality due to the absence of a vanishing excitation gap. We show that, in the anisotropic tpQRM, spectral collapse…

Quantum Physics · Physics 2026-04-28 Jiong Li , Jun-ling Wang , Qing-Hu Chen , Hai-Qing Lin

Quantum Rabi model (QRM) is fascinating not only because of its broad relevance and but also due to its few-body quantum phase transition. In practice both the bias and the nonlinear coupling in QRM are important controlling parameters in…

Quantum Physics · Physics 2021-06-03 Zu-Jian Ying

Dissipative quantum Rabi System, a finite-component system composed of a single two-level atom interacting with an optical cavity field mode, exhibits a quantum phase transition, which can be exploited to greatly enhance the estimation…

Quantum Physics · Physics 2023-07-06 Dong Xie , Chunling Xu , An Min Wang

We study the dynamic sensitivity of the quantum Rabi model, which exhibits quantum criticality in the finite-component-system case. This dynamic sensitivity can be detected by introducing an auxiliary two-level atom far-off-resonantly…

Quantum Physics · Physics 2021-01-06 Ying Hu , Jian Huang , Jin-Feng Huang , Qiong-Tao Xie , Jie-Qiao Liao

The interaction among the components of a hybrid quantum system is often neglected when considering the coupling of these components to an environment. However, if the interaction strength is large, this approximation leads to unphysical…

Quantum Rabi model (QRM) is a fundamental model for light-matter interactions, the finite-component quantum phase transition (QPT) in the QRM has established a paradigmatic application for critical quantum metrology (CQM). However, such a…

Quantum Physics · Physics 2026-05-12 Qiu-Yi Chen , Feng Qiao , Zu-Jian Ying

The Rabi model, a two-level atom coupled to a harmonic oscillator, can undergo a second-order quantum phase transition (QPT) [M. -J. Hwang et al, Phys. Rev. Lett. 115, 180404 (2015)]. Here we show that the Rabi QPT accompanies critical…

Quantum Physics · Physics 2016-08-24 Ricardo Puebla , Myung-Joong Hwang , Martin B. Plenio

We investigate first- and second-order quantum phase transitions of the anisotropic quantum Rabi model, in which the rotating- and counter-rotating terms are allowed to have different coupling strength. The model interpolates between two…

Quantum Physics · Physics 2017-12-06 Maoxin Liu , Stefano Chesi , Zu-Jian Ying , Xiaosong Chen , Hong-Gang Luo , Hai-Qing Lin

The anisotropic two-photon quantum Rabi model is studied using the Bogoliubov operator approach. The doubly degenerate exceptional states are identified through analytical methods. By adjusting the position of the last exceptional point…

Quantum Physics · Physics 2025-04-08 Jiong Li , Daniel Braak , Qing-Hu Chen

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
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