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We demonstrate that the quantum phase transition (QPT) of the Rabi model and critical dynamics near the QPT can be probed in the setup of a single trapped ion. We first show that there exists equilibrium and non-equilibrium universal…

Quantum Physics · Physics 2017-02-22 Ricardo Puebla , Myung-Joong Hwang , Jorge Casanova , Martin B. Plenio

The dispersive regime of circuit QED is the main workhorse for todays quantum computing prototypes based on superconducting qubits. Analytic descriptions of this model typically rely on the rotating wave approximation of the interaction…

Quantum Physics · Physics 2020-07-15 Clemens Müller

The existence of zero-dimensional superradiant quantum phase transitions seems inconsistent with conventional statistical physics. This work clarifies this apparent inconsistency. We demonstrate the corresponding effective field theories…

Quantum Physics · Physics 2024-05-07 Zi-Yong Ge , Heng Fan , Franco Nori

We in this paper derive the analytical expressions of ground-state energy, average photon-number, and the atomic population by means of the spin-coherent-state variational method for arbitrary number of atoms in an optomechanical cavity. It…

Quantum Physics · Physics 2017-04-05 Xiuqin Zhao , Ni Liu , Xuemin Bai , J. -Q. Liang

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

We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction. We use a numerical method combing the cluster mean-field theory and the matrix product state(MPS) to obtain the…

Quantum Physics · Physics 2022-10-12 Shu He , Li-Wei Duan , Yan-Zhi Wang , Chen Wang , Qing-Hu Chen

We study a minimal model that has a driven-dissipative quantum phase transition, namely a Kerr non-linear oscillator subject to driving and dissipation. Using mean-field theory, exact diagonalization, and the Keldysh formalism, we analyze…

Quantum Physics · Physics 2021-03-26 Xin H. H. Zhang , Harold U. Baranger

We theoretically investigate the superradiant phase transition (SPT) in the two-photon Dicke-Stark model, which incorporates both Rabi and Stark coupling. By introducing a Stark coupling term, we significantly reduce the critical Rabi…

Quantum Physics · Physics 2025-08-12 Cui-Lu Zhai , Wei Wu , Chun-Wang Wu , Ping-Xing Chen

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

We explore the dissipative phase transition of the two-photon Dicke model, a topic that has garnered significant attention recently. Our analysis reveals that while single-photon loss does not stabilize the intrinsic instability in the…

Quantum Physics · Physics 2024-12-20 Aanal Jayesh Shah , Peter Kirton , Simone Felicetti , Hadiseh Alaeian

In cavity quantum electrodynamics (QED), emitters and a resonator are coupled together to enable precise studies of quantum light-matter interactions. Over the past few decades, this has led to a variety of quantum technologies such as more…

The superradiant phase transition (SPT) controlled by the interacting strength between the two-level atom and the photons has been a hot topic in the Rabi model and the Rabi-dimer model. The latter describes two Rabi cavities coupled with…

Quantum Physics · Physics 2022-11-08 Shujie Cheng , Heguang Xu , Xueying Liu , Gao Xianlong

This study investigates phase-driven symmetry breaking leading to superradiance phase transitions in cascaded non-Hermitian quantum Rabi cavities. Non-Hermiticity is introduced via the phase coupling $\varphi$ between the atom and the…

Quantum Gases · Physics 2024-07-03 Shujie Cheng , Shuai-Peng Wang , G. D. M. Neto , Gao Xianlong

We present a new perspective on thermal and quantum phase transitions (QPT) in $(2+1)$-dimensional quantum chromodynamics based on symmetries, topology, and quantum dynamical structure of the baryon ground state in the large $N_c$ limit for…

High Energy Physics - Theory · Physics 2019-04-25 Laith H. Haddad

We theoretically study the superradiant phase transition (SPT) in an indirect Rabi model, where both a two-level system and a single mode bosonic field couple to an auxiliary bosonic field. We find that the indirect spin-field coupling…

Quantum Physics · Physics 2023-03-15 Wen Huang , Ying Wu , Xin-You Lü

In this work, we investigate the quantum phase transition of light in the dissipative Rabi-Hubbard lattice under the framework of the mean-field theory and quantum dressed master equation. The order parameter of photons in strong…

Quantum Physics · Physics 2021-11-30 Tian Ye , Chen Wang , Qing-Hu Chen

We study the dissipative phase transition in a quantum oscillator with two-photon drive and two-photon dissipation. Using the semi-classical Langevin equation and the Fokker-Plank approach, we construct a theory of non-perturbative quantum…

Quantum Physics · Physics 2025-01-20 V. Yu. Mylnikov , S. O. Potashin , G. S. Sokolovskii , N. S. Averkiev

The existence of quantum tricriticality and exotic phases are found in a Dicke triangle (TDT) where three cavities, each one containing an ensemble of three-level atoms, are connected to each other through the action of an artificial…

Quantum Physics · Physics 2022-12-15 Guo-Jing Chen , Diego Fallas Padilla , Tao Deng , Yu-Yu Zhang , Han Pu

We study the quantum phase diagram and the onset of quantum critical phenomena in a generalized Dicke model that includes collective qubit-qubit interactions. By employing semiclassical techniques, we analyze the corresponding classical…

Quantum Physics · Physics 2022-09-21 Ricardo Herrera Romero , Miguel Angel Bastarrachea-Magnani , Román Linares

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