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The Dicke model exhibits a variety of phase transitions. The quantum phase transition from the normal phase to the super-radiant phase is marked by a dramatic change in the scaling of the participation ratio. We find that the ground state…

Statistical Mechanics · Physics 2022-04-05 Pragna Das , Auditya Sharma

In this study, the energy spectrum and thermal equilibrium states of the finite-size Dicke-Stark model were numerically obtained within the extended coherent state space by solving the dressed master equation for strongly coupled light-atom…

Quantum Physics · Physics 2026-03-04 Weilin Wang , Ronghai Liu , Fangcheng Qiu , Mingshu Zhao , Jinying Ma , Zhanyuan Yan

The occurrence of a second-order quantum phase transition in the Dicke model is a well-established feature. On the contrary, a comprehensive understanding of the corresponding open system, particularly in the proximity of the critical…

Quantum Physics · Physics 2026-01-21 Daniele Lamberto , Gabriele Orlando , Salvatore Savasta

We study the coherent cooperative phenomena of the system composed of two interacting atomic ensembles in the thermodynamic limit. Remarkably, the system exhibits the Dicke-like quantum phase transition and entanglement behavior although…

Optics · Physics 2012-02-27 Shi-Biao Zheng

Overlap with the separable state is introduced in this paper for the purpose of characterizing the overall correlation in many-body systems. This definition has clear geometric and physical meaning, and moreover can be considered as the…

Quantum Physics · Physics 2015-05-18 H. T. Cui

The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QPT) and excited state quantum phase transitions (ESQPT). The…

Quantum Physics · Physics 2016-10-12 Miguel A. Bastarrachea-Magnani , Sergio Lerma-Hernández , Jorge G. Hirsch

We consider the Dicke model in the ultra-strong coupling limit to investigate thermal phase transitions and their precursors at finite particle numbers $N$ for bosonic and fermionic systems. We derive partition functions with degeneracy…

Quantum Gases · Physics 2012-04-12 M. Aparicio Alcalde , M. Bucher , C. Emary , T. Brandes

We study a simple model describing superradiance in a system of two-level atoms interacting with a single-mode bosonic field. The model permits a continuous crossover between integrable and partially chaotic regimes and shows a complex…

Quantum Physics · Physics 2017-06-07 Michal Kloc , Pavel Stransky , Pavel Cejnar

We investigate a generalized Dicke model by introducing two interacting spin ensembles coupled with a single-mode bosonic field. Apart from the normal to superradiant phase transition induced by the strong spin-boson coupling, interactions…

Quantum Physics · Physics 2023-10-31 Wen Liu , Liwei Duan

We analyze multipartite correlations in a generalized Dicke model involving two optical modes interacting with an ensemble of two-level atoms. In particular, we examine correlations beyond the standard bipartite entanglement and derive…

Quantum Physics · Physics 2021-11-25 Rodolfo Soldati , Mark T. Mitchison , Gabriel T. Landi

The Dicke spin-boson model is composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms. Assuming thermal equilibrium with a reservoir at temperature $\beta^{-1}$, we consider the situation where the coupling…

Quantum Physics · Physics 2015-05-14 M. Aparicio Alcalde , A. H. Cardenas , N. F. Svaiter , V. B. Bezerra

The Dicke model, which describes the coupling of an ensemble of spins to a harmonic oscillator, is known for its superradiant phase transition, which can both be observed in the ground state in a purely Hamiltonian setting, as well as in…

Quantum Physics · Physics 2020-12-04 Florentin Reiter , Thanh Long Nguyen , Jonathan P. Home , Susanne F. Yelin

The Dicke model describes N qubits (or two-level atoms) homogenously coupled to a bosonic mode. Here we examine an open-system realization of the Dicke model, which contains critical and chaotic behaviour. In particular, we extend this…

Quantum Physics · Physics 2013-05-29 Neill Lambert , Yueh-nan Chen , Robert Johannsson , Franco Nori

We consider an exactly solvable inhomogeneous Dicke model which describes an interaction between a disordered ensemble of two-level systems with single mode boson field. The existing method for evaluation of Richardson-Gaudin equations in…

Statistical Mechanics · Physics 2017-04-03 W. V. Pogosov , D. S. Shapiro , L. V. Bork , A. I. Onishchenko

Higher symmetries in interacting many-body systems often give rise to new phases and unexpected dynamical behavior. Here, we theoretically investigate a variant of the Dicke model with higher-order discrete symmetry, resulting from…

Quantum Physics · Physics 2026-03-25 Jacquelyn Ho , Yue-Hui Lu , Tai Xiang , Tsai-Chen Lee , Zhenjie Yan , Dan M. Stamper-Kurn

We investigate classes of interacting quantum spin systems in a single-mode cavity with a Dicke coupling, as a paradigmatic example of strongly correlated light-matter systems. Coming from the limit of weak light-matter couplings and large…

Strongly Correlated Electrons · Physics 2024-07-30 Andreas Schellenberger , Kai Phillip Schmidt

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 show how the dynamics of the Dicke model after a quench from the ground-state configuration of the normal phase into the superradiant phase can be described for a limited time by a simple inverted harmonic oscillator model and that this…

Quantum Physics · Physics 2021-10-19 Karol Gietka , Thomas Busch

We consider a class of generalised single mode Dicke Hamiltonians with arbitrary boson coupling in the pseudo-spin $x$-$z$ plane. We find exact solutions in the thermodynamic, large-spin limit as a function of the coupling angle, which…

Quantum Physics · Physics 2009-11-10 Clive Emary , Tobias Brandes

The Dicke model is a paradigmatic quantum-optical model describing the interaction of a collection of two-level systems with a single bosonic mode. Effective implementations of this model made it possible to observe the emergence of…