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Related papers: Quantum Criticality in the Biased Dicke Model

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We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized…

Quantum Physics · Physics 2020-06-12 C. A. Estrada Guerra , J. Mahecha-Gómez , J. G. Hirsch

We show how various mathematical formalisms, specifically the catastrophe formalism and group theory, aid in the study of relevant systems in quantum optics. We describe the phase transition of the Dicke model for a finite number N of…

Quantum Physics · Physics 2013-03-14 Eduardo Nahmad-Achar , Octavio Castaños , Ramón López-Peña , Jorge G. Hirsch

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

We report the experimental implementation of the Dicke model in the semiclassical approximation, which describes a large number of two-level atoms interacting with a single-mode electromagnetic field in a perfectly reflecting cavity. This…

The energy spectrum of Dicke Hamiltonians with and without the rotating wave approximation for arbitrary atom-number is obtained analytically with the variational method, in which the effective pseudo-spin Hamiltonian resulted from the…

Quantum Physics · Physics 2012-06-25 Jinling Lian , Yuanwei Zhang , J. -Q. Liang

We study a three-level Dicke model in V-configuration under both closed and open conditions. With independently tunable co- and counter-rotating coupling strength of the interaction Hamiltonian, this model is a generalization of the…

Quantum Physics · Physics 2023-04-12 Jingtao Fan , Suotang Jia

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

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

We study the late-time relaxation following a quench in a driven-dissipative quantum many-body system. We consider the open Dicke model, describing the infinite-range interactions between $N$ atoms and a single, lossy electromagnetic mode.…

Quantum Gases · Physics 2016-11-28 Johannes Lang , Francesco Piazza

We analyze Dicke model at zero temperature by matrix diagonalization to determine the entanglement in the ground state. In the infinite system limit the mean field approximation predicts a quantum phase transition from a non-interacting…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 O. Tsyplyatyev , D. Loss

We study a model describing $N$ identical bosonic atoms trapped in a double-well potential together with a single impurity atom, comparing and contrasting it throughout with the Dicke model. As the boson-impurity coupling strength is…

Quantum Gases · Physics 2019-11-26 Jesse Mumford , Jonas Larson , D. H. J. O'Dell

Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are…

Quantum Physics · Physics 2015-06-11 J. G. Hirsch , O. Castaños , E. Nahmad-Achar , R. López-Penã

The Dicke model, which describes the dipolar coupling between N two-level atoms and a quantized electromagnetic field, seemingly violates gauge invariance in the presence of ultrastrong light-matter coupling, a regime that is now…

Quantum Physics · Physics 2020-09-02 Luigi Garziano , Alessio Settineri , Omar Di Stefano , Salvatore Savasta , Franco Nori

We show that in the strong coupling linear regime, the dispersive opto-mechanical Hamiltonian system can undergo a Dicke-Hepp-Lieb superradiant phase transition with two critical points. The higher critical point is the usual second order…

Quantum Physics · Physics 2015-06-11 Aranya B Bhattacherjee

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

Quantum and classical pairwise correlations in two typical collective spin systems (i.e., the Dicke model and the Lipkin-Meshkov-Glick model) are discussed. These correlations in the thermodynamical limit are obtained analytically and in a…

Quantum Physics · Physics 2012-05-17 Chen Wang , Yu-Yu Zhang , Qing-Hu Chen

We realize a non-degenerate two-mode Dicke model with competing interactions in a Bose-Einstein condensate (BEC) coupled to two orthogonal polarization modes of a single optical cavity. The BEC is coupled to the cavity modes via the scalar…

We demonstrate that criticality in a driven-dissipative system is strongly influenced by the spectral properties of the reservoir. We study the open-system realization of the Dicke model, where a bosonic cavity mode couples to a large spin…

Quantum Physics · Physics 2017-01-04 D. Nagy , P. Domokos

The Mott insulator-to-superfluid transition exhibited by the Bose-Hubbard model on a two-dimensional square lattice occurs for any value of the chemical potential, but becomes critical at the tips of the so-called Mott lobes only. Employing…

Statistical Mechanics · Physics 2019-12-03 Sören Sanders , Martin Holthaus

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