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We consider a large number of two-level atoms interacting with the mode of a cavity in the rotating-wave approximation (Tavis-Cummings model). We apply the Holstein-Primakoff transformation to study the model in the limit of the number of…

量子物理 · 物理学 2007-05-23 Marco Frasca

We study a generalized Dicke model, as recently realized in an atomic quantum gas experiment, describing the collective interaction of N two-level atoms with a single cavity mode. The model takes account of dissipation of the cavity field,…

量子物理 · 物理学 2014-08-27 A L Grimsmo , A S Parkins

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…

量子物理 · 物理学 2007-10-01 Yong Li , Z. D. Wang , C. P. Sun

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…

量子物理 · 物理学 2011-04-05 O. Casta~nos , E. Nahmad-Achar , R. Lopez-Peña , J. G. Hirsch

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…

量子物理 · 物理学 2020-06-17 L. F. Quezada , A. Martín-Ruiz , A. Frank

A mean field description of the Dicke model is presented, employing the Holstein-Primakoff realization of the angular momentum algebra. It is shown that, in the thermodynamic limit, when the number of atoms interacting with the photons goes…

量子物理 · 物理学 2015-05-30 Jorge G. Hirsch , Octavio Castanos , Ramon Lopez-Pena , Eduardo Nahmad-Achar

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…

光学 · 物理学 2012-02-27 Shi-Biao Zheng

We study the quantum phase transition of a N two-level atomic ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms.…

量子物理 · 物理学 2010-11-02 B. M. Rodríguez-Lara , Ray-Kuang Lee

The paradigm of the two-level atom is revisited and its perturbative analysis is discussed in view of the principle of duality in perturbation theory. The models we consider are a two-level atom and an ensemble of two-level atoms both…

量子物理 · 物理学 2007-05-23 Marco Frasca

We show that semi-classical states adapted to the symmetry of the Hamiltonian are an excellent approximation to the exact quantum solution of the ground and first excited states of the Dicke model. Their overlap to the exact quantum states…

量子物理 · 物理学 2012-12-05 O. Castaños , E. Nahmad-Achar , R. López-Peña , J. G. Hirsch

We study the numerical solutions of the Dicke Hamiltonian, which describes a system of many two level atoms interacting with a monochromatic radiation field into a cavity. The Dicke model is an example of a quantum collective behavior which…

量子物理 · 物理学 2011-08-04 Miguel A. Bastarrachea-Magnani , Jorge G. Hirsch

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…

量子物理 · 物理学 2023-10-31 Wen Liu , Liwei Duan

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…

We consider the finite-size corrections in the Dicke model and determine the scaling exponents at the critical point for several quantities such as the ground state energy or the gap. Therefore, we use the Holstein-Primakoff representation…

统计力学 · 物理学 2007-05-23 J. Vidal , S. Dusuel

We show how the decoherence that occurs in an entangling atomic spin-light interface can be simply modeled as the dynamics of a bosonic mode. Although one seeks to control the collective spin of the atomic system in the permutationally…

量子物理 · 物理学 2024-12-05 Andrew Kolmer Forbes , Philip Daniel Blocher , Ivan H. Deutsch

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…

量子物理 · 物理学 2023-09-18 Diego Fallas Padilla , Han Pu

We calculate the one-photon exchange contribution to the interatomic interaction potential between electrically neutral, identical atoms, one of which is assumed to be in an excited state, by matching the scattering matrix (S matrix)…

原子物理 · 物理学 2025-09-12 U. D. Jentschura , C. M. Adhikari

We consider an important generalization of the Dicke model in which multi-level atoms, instead of two-level atoms as in conventional Dicke model, interact with a single photonic mode. We explore the phase diagram of a broad class of…

量子物理 · 物理学 2021-11-03 Youjiang Xu , Diego Fallas Padilla , Han Pu

The Hamiltonian of the two-photon Dicke model is diagonalized for the normal phase and super-radiant phase beyond the mean-field method respectively, giving the critical coupling strength. Besides a spectral collapse, the super-radiant…

量子物理 · 物理学 2018-05-23 Xiang-You Chen , Yu-Yu Zhang

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…

凝聚态物理 · 物理学 2009-02-06 Clive Emary , Tobias Brandes
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