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We found analytically a first order quantum phase transition in the Cooper pair box array of $N$ low-capacitance Josephson junctions capacitively coupled to a resonant photon in a microwave cavity. The Hamiltonian of the system maps on the…

Strongly Correlated Electrons · Physics 2018-06-12 Sergei I. Mukhin , Nikolay V. Gnezdilov

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 present a comprehensive analysis of the dynamic diversity associated with superradiant phase transitions within a one-dimensional tight-binding electronic chain that is intrinsically coupled to a single-mode optical cavity. By employing…

Quantum Physics · Physics 2025-05-12 Xing Su , Jian-Jian Cheng , Lin Zhang

We present a density matrix-based time dependent projection operator formalism to calculate the beyond mean-field dynamics of systems with non-Markovian local baths and one-to-all interactions. Such models encapsulate the physics of…

Quantum Physics · Physics 2025-05-30 Anqi Mu , Nathan Ng , Andrew J. Millis , David R. Reichman

We analyze the quantum phase transition for a set of $N$-two level systems interacting with a bosonic mode in the adiabatic regime. Through the Born-Oppenheimer approximation, we obtain the finite-size scaling expansion for many physical…

Quantum Physics · Physics 2007-05-23 G. Liberti , F. Plastina , F. Piperno

Light-matter interacting systems involving multi-level atoms are appealing platforms for testing equilibrium and dynamical phenomena. Here, we explore a tricritical Dicke model, where an ensemble of three-level systems interacts with a…

Quantum Physics · Physics 2023-09-18 Diego Fallas Padilla , Han Pu

In cavity quantum electrodynamics (QED), the interaction between an atomic transition and the cavity field is measured by the vacuum Rabi frequency $\Omega_0$. The analogous term "circuit QED" has been introduced for Josephson junctions,…

Superconductivity · Physics 2010-09-23 Pierre Nataf , Cristiano Ciuti

Recently, Mendon\c{c}a et al. [arXiv:2503.04961] investigated the Dicke-XXZ model and the Dicke-Ising model. For the latter model, their calculated quantum phase diagram contradicts claims about the existence of an intermediate phase with…

Quantum Physics · Physics 2025-11-12 Max Hörmann , Anja Langheld , Jonas Leibig , Andreas Schellenberger , Kai Phillip Schmidt

Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to…

Quantum Gases · Physics 2021-01-15 Daniel A. Paz , Mohammad F. Maghrebi

Within the Canonical Ensemble, we investigate a system of interacting relativistic bosons at finite temperatures and finite isospin densities in a mean-field approach. The mean field contains both attractive and repulsive terms. Temperature…

Nuclear Theory · Physics 2024-10-08 V. Gnatovskyy , D. Anchishkin , D. Zhuravel , V. Karpenko

We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes…

Quantum Physics · Physics 2023-05-17 Fatemeh Bibak , Uroš Delić , Markus Aspelmeyer , Borivoje Dakić

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

Analytic solution of semiclassical dynamics equations of the Dicke model in a superradiant state is presented. The time dependences of the amplitudes of superradiant bosonic condensate and coherent two-level atomic array in the microwave…

Quantum Physics · Physics 2023-10-31 S. I. Mukhin , A. Mukherjee , S. S. Seidov

We study the effect of pulsed driving and kicked driving of the interaction term on the non-equilibrium phase transition in the Dicke Model. Within the framework of Floquet theory, we observe the emergence of new non-trivial phases on…

Statistical Mechanics · Physics 2015-05-26 Sayak Dasgupta , Utso Bhattacharya , Amit Dutta

High precision macroscopic quantum control in interacting light-matter systems remains a significant goal toward novel information processing and ultra-precise metrology. We show that the out-of-equilibrium behavior of a paradigmatic…

Quantum Physics · Physics 2015-09-17 O. L. Acevedo , L. Quiroga , F. J. Rodríguez , N. F. Johnson

We investigate the behavior of an $N$-component quantum rotor coupled to a bosonic dissipative bath having a sub-Ohmic spectral density $J(\omega) \propto \omega^s$ with $s<1$. With increasing dissipation strength, this system undergoes a…

Strongly Correlated Electrons · Physics 2011-11-29 Manal Al-Ali , Thomas Vojta

The Dicke model describes the collective behavior of a sub-wavelength--size ensemble of two-level atoms (i.e., spin-1/2) interacting identically with a single quantized radiation field of a cavity. Across a critical coupling strength it…

Quantum Physics · Physics 2024-03-01 Farokh Mivehvar

We consider a previously modified Jaynes-Cummings model with single-photon cavity radiation field and atomic system exchanging a squeezed photon and deduce a normal/superradiance quantum phase transition in the Dicke model of N atoms of…

Quantum Physics · Physics 2025-07-17 Moorad Alexanian

We study the dynamics of a complex open quantum many-body system. The coupling to external degrees of freedom can be viewed as a coupling to a radiation field, to continuum states or to a measuring apparatus. This perturbation is treated in…

Quantum Physics · Physics 2009-11-10 Alexander Volya , Vladimir Zelevinsky

We study the competition between Kondo physics and dissipation within an Anderson model of a magnetic impurity level that hybridizes with a metallic host and is also coupled, via the impurity charge, to the displacement of a bosonic bath…

Strongly Correlated Electrons · Physics 2015-05-13 Mengxing Cheng , Matthew T. Glossop , Kevin Ingersent