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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

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

We consider a gas of ultracold two-level atoms confined in a cavity, taking into account for atomic center-of-mass motion and cavity mode variations. We use the generalized Dicke model, and analyze separately the cases of a Gaussian, and a…

Quantum Physics · Physics 2015-05-13 Jonas Larson , Maciej Lewenstein

The Dicke model describes the coupling between a quantized cavity field and a large ensemble of two-level atoms. When the number of atoms tends to infinity, this model can undergo a transition to a superradiant phase, belonging to the…

Quantum Physics · Physics 2019-03-01 Peter Kirton , Mor M. Roses , Jonathan Keeling , Emanuele G. Dalla Torre

Collectivity in ensembles of atoms gives rise to effects like super- and subradiance. While superradiance is well studied and experimentally accessible, subradiance remains elusive since it is difficult to track experimentally as well as…

Quantum Physics · Physics 2018-01-08 Michael Gegg , Alexander Carmele , Andreas Knorr , Marten Richter

This paper is devoted to energy-spectral analysis for the system of a two-level atom coupled with photons in a cavity. It is shown that the Dicke-type energy level crossings take place when the atom-cavity interaction of the system…

Quantum Physics · Physics 2013-05-29 Masao Hirokawa

We analyze the stability of super- and subradiant states in a system of identical two-level atoms in the near-Dicke limit, i.e., when the atoms are very close to each other compared to the wavelength of resonant light. The dynamics of the…

Quantum Physics · Physics 2008-11-20 Peter G. Brooke , Karl-Peter Marzlin , James D. Cresser , Barry C. Sanders

We employ a generalized Dicke model to study theoretically the quantum criticality of an extended two-level atomic ensemble interacting with a single-mode quantized light field. Effective Hamiltonians are derived and diagonalized to…

Quantum Physics · Physics 2007-10-01 Yong Li , Z. D. Wang , C. P. Sun

We consider an ensemble of three-level particles in lambda-configuration interacting with two bosonic modes. The Hamiltonian has the form of a generalized Dicke-model. We show that in the thermodynamic limit this model supports a…

Quantum Physics · Physics 2012-12-24 Mathias Hayn , Clive Emary , Tobias Brandes

We study the steady-state behavior of the open Dicke model, which describes the collective interaction of $N$ spin-$1/2$ particles with a lossy, quantized cavity mode and exhibits a superradiant phase transition above a critical…

Quantum Physics · Physics 2025-10-31 Wenqi Tong , H. Alaeian , F. Robicheaux

In order to examine whether or not the quantum phase transition of Dicke type exists in realistic systems, we revisit the model setup of the superconducting circuit QED from a microscopic many-body perspective based on the BCS theory with…

Quantum Physics · Physics 2012-04-16 D. Z. Xu , Y. B. Gao , C. P. Sun

We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The latter is described by a spin model whose main feature is that it possesses a…

Quantum Physics · Physics 2020-06-17 L. F. Quezada , A. Martín-Ruiz , A. Frank

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

The Dicke model consisting of an ensemble of two-state atoms interacting with a single quantized mode of the electromagnetic field exhibits a zero-temperature phase transition at a critical value of the dipole coupling strength. We propose…

Quantum Physics · Physics 2015-06-26 F. Dimer , B. Estienne , A. S. Parkins , H. J. Carmichael

A phase transition describes the sudden change of state in a physical system, such as the transition between a fluid and a solid. Quantum gases provide the opportunity to establish a direct link between experiment and generic models which…

Quantum Physics · Physics 2010-06-01 Kristian Baumann , Christine Guerlin , Ferdinand Brennecke , Tilman Esslinger

The Dicke model can exhibit quantum phase transition between the normal and the superradiant phases when the strength of the light-matter coupling exceeds the ultrastrong coupling regime. However, it is challenging to observe this phase…

Quantum Physics · Physics 2023-07-12 Jin-Feng Huang , Lin Tian

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

In inverted atomic ensembles, photon-mediated interactions give rise to Dicke superradiance, a form of many-body decay that results in a rapid release of energy as a photon burst. While originally studied in pointlike ensembles, this…

Quantum Physics · Physics 2024-03-20 Stuart J. Masson , Jacob P. Covey , Sebastian Will , Ana Asenjo-Garcia

The Dicke Hamiltonian describes the simplest quantum system with atoms interacting with photons: N two level atoms inside a perfectly reflecting cavity which allows only one electromagnetic mode. It has also been successfully employed to…

Quantum Physics · Physics 2011-04-05 O. Casta~nos , E. Nahmad-Achar , R. Lopez-Peña , J. G. Hirsch

We derive analytical results for various quantities related to the excited-state quantum phase transitions in a class of Dicke superradiance models in the semiclassical limit. Based on a calculation of a partition sum restricted to Dicke…

Statistical Mechanics · Physics 2013-10-22 Tobias Brandes
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