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We investigate the quantum chaotic properties of the Dicke Hamiltonian; a quantum-optical model which describes a single-mode bosonic field interacting with an ensemble of $N$ two-level atoms. This model exhibits a zero-temperature quantum…

Condensed Matter · Physics 2009-02-06 Clive Emary , Tobias Brandes

Atomic ensembles strongly interacting with light constitute rich quantum-optical many-body systems, with the potential for observing cooperative effects and dissipative nonequilibrium phase transitions. We theoretically analyze the…

Quantum Physics · Physics 2025-01-28 Janne Ruostekoski

Superradiant phase transitions play a fundamental role in understanding the mechanism of collective light-matter interaction at the quantum level. Here we investigate multiple superradiant phases and phase transitions with different…

Quantum Physics · Physics 2024-05-08 Hai-Chao Li , Wen Huang , Wei Xiong

A study of the $\lambda$- and $N$-atomic configurations under dipolar interaction with $2$ modes of electromagnetic radiation is presented. The corresponding quantum phase diagrams are obtained by means of a variational procedure. Both…

Quantum Physics · Physics 2016-07-06 S. Cordero , O. Castaños , R. López-Peña , E. Nahmad-Achar

We adopt a three-level bosonic model to investigate the quantum phase transition in an ultracold atom-molecule conversion system which includes one atomic mode and two molecular modes. Through thoroughly exploring the properties of energy…

Quantum Physics · Physics 2013-07-12 Sheng-Chang Li , Li-Bin Fu , Fu-Li Li

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 demonstrate quantum signatures of deterministic nonlinear dynamics in the transition to superradiance of a generalized open Dicke model with different coupling strengths for the co- and counter-rotating light-matter interaction terms. A…

Quantum Physics · Physics 2020-12-04 Kevin Stitely , Stuart J Masson , Andrus Giraldo , Bernd Krauskopf , Scott Parkins

The superradiant phase transition in the dissipative Dicke lattice model, driven by on-site collective atom-photon interactions and inter-site photon hopping, is a cornerstone of nonequilibrium quantum many-body physics. However, little is…

Quantum Physics · Physics 2025-08-15 Peng-Fei Wei , Yilun Xu , Fengxiao Sun , Qiongyi He , Peter Rabl , Zhihai Wang

We consider spin-boson models composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms. The situation where the coupling between the bosonic mode and the atoms generates real and virtual processes is studied, where…

Quantum Physics · Physics 2009-02-10 M. Aparicio Alcalde , R. Kullock , N. F. Svaiter

An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the…

Quantum Physics · Physics 2009-11-13 Isabel Sainz , Andrei B. Klimov , Luis Roa

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

The quantum Rabi model exhibits a superradiant phase transition when the coupling becomes strong, even though it involves only two components: a two-level atom and a single bosonic mode. This phase transition is referred to as a…

Mesoscale and Nanoscale Physics · Physics 2025-06-02 Tsuyoshi Yamamoto , Yasuhiro Tokura

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

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Stefan Heinze , Jan Dobes

A second-order quantum phase transition in two-species Bose-Einstein condensates of 87Rb atoms coupled by a quantized radiant field is revealed explicitly in terms of the energy spectrum which is obtained in the thermodynamic limit and is…

Strongly Correlated Electrons · Physics 2007-05-23 Gang Chen , J. -Q. Liang , W. -M. Liu

We consider the full Dicke spin-boson model composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms with different couplings for the resonant and anti-resonant interaction terms, and incorporate a dipole-dipole…

Quantum Physics · Physics 2015-05-28 M. Aparicio Alcalde , J. Stephany , N. F. Svaiter

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

The Dicke model describes an ensemble of N identical two-level atoms (qubits) coupled to a single mode of a bosonic field. The fermion Dicke model should be obtained by changing the atomic pseudo-spin operators by a linear combination of…

Quantum Physics · Physics 2007-06-13 M. Aparicio Alcade , A. L. L. de Lemos , N. F. Svaiter

We propose a Hamiltonian of ultracold spinless atoms in optical lattices including the two-body interaction of nearest neighbors, which reduces to the Bose-Hubbard model in weak interaction limit. An atom-pair hoping term appearing in the…

Other Condensed Matter · Physics 2009-11-13 J. -Q. Liang , J. -L. Liu , W. -D. Li , Z. -J. Li

Two-photon light-matter interactions exhibit distinctive features such as spectral collapse. The two-photon Dicke model has been reported to exhibit a superradiant phase which could be useful in quantum applications. Here we show that this…

Quantum Physics · Physics 2026-01-29 Fabrizio Ramírez , David Villaseñor , Nahum Vázquez , Jorge G. Hirsch