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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

We have studied entanglement entropy and Husimi $Q$ distribution as a tool to explore chaos in the quantum two-photon Dicke model. With the increase of the energy of system, the linear entanglement entropy of coherent state prepared in the…

Quantum Physics · Physics 2019-08-21 Shangyun Wang , Songbai Chen , Jiliang Jing

We study the quantum quench dynamics in an extended version of the Dicke model where an additional parameter allows a smooth transition to the integrable Tavis-Cummings regime. We focus on the influence of various quantum phases and…

Quantum Physics · Physics 2018-07-25 Michal Kloc , Pavel Stránský , Pavel Cejnar

The critical behavior in an important class of excited state quantum phase transitions is signaled by the presence of a new constant of motion only at one side of the critical energy. We study the impact of this phenomenon in the…

Quantum Physics · Physics 2022-02-04 Ángel L. Corps , Rafael A. Molina , Armando Relaño

We study the thermodynamics of the full version of the Dicke model, including all the possible values of the total angular momentum $j$, with both microcanonical and canonical ensembles. We focus on how the excited-state quantum phase…

Quantum Physics · Physics 2017-10-31 P. Pérez-Fernández , A. Relaño

We study the relation between entanglement and quantum chaos in one- and two-dimensional spin-1/2 lattice models, which exhibit mixing of the noninteracting eigenfunctions and transition from integrability to quantum chaos. Contrary to what…

Quantum Physics · Physics 2007-05-23 Carlos Mejia-Monasterio , Giuliano Benenti , Gabriel G. Carlo , Giulio Casati

We systematically analyze the various phase transitions of the anisotropic Dicke model that is endowed with both rotating and counter-rotating light-matter couplings. In addition to the ground state quantum phase transition (QPT) from the…

Quantum Physics · Physics 2023-04-25 Pragna Das , Devendra Singh Bhakuni , Auditya Sharma

We consider the Dicke Hamiltonian, a simple quantum-optical model which exhibits a zero-temperature quantum phase transition. We present numerical results demonstrating that at this transition the system changes from being quasi-integrable…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 C. Emary , T. Brandes

We theoretically study the dynamical phase diagram of the Dicke model in both classical and quantum limits using large, experimentally relevant system sizes. Our analysis elucidates that the model features dynamical critical points that are…

Quantum Physics · Physics 2021-06-09 R. J. Lewis-Swan , S. R. Muleady , D. Barberena , J. J. Bollinger , A. M. Rey

We investigate the non-equilibrium quantum dynamics of a canonical light-matter system, namely the Dicke model, when the light-matter interaction is ramped up and down through a cycle across the quantum phase transition. Our calculations…

Quantum Gases · Physics 2016-09-12 F. J. Gómez-Ruiz , O. L. Acevedo , L. Quiroga , F. J. Rodríguez , N. F. Johnson

In the work of Das and Sharma [Phys. Rev. A 105, 033716 (2022)] the phase transitions of the Dicke model are studied. Its main result is that, besides the well-known quantum phase transition, excited-state quantum phase transition and…

Quantum Physics · Physics 2022-10-14 Ángel L. Corps , Armando Relaño

We analyze excited-state quantum phase transitions (ESQPTs) in three schematic (integrable and nonintegrable) models describing a single-mode bosonic field coupled to a collection of atoms. It is shown that the presence of the ESQPT in…

Quantum Physics · Physics 2015-05-20 P. Perez-Fernandez , P. Cejnar , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos , A. Relano

We systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom-atom…

Quantum Physics · Physics 2022-10-13 Qian Wang

We discuss the behavior of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between quantum phase transitions of the system…

Statistical Mechanics · Physics 2011-02-16 J. Vidal , S. Dusuel , T. Barthel

Many-body quantum chaos has immense potential as a tool to accelerate the preparation of entangled states and overcome challenges due to decoherence and technical noise. Here, we study how chaos in the paradigmatic Dicke model, which…

Quantum Gases · Physics 2024-10-08 Yicheng Zhang , Juan Zuniga Castro , Robert J. Lewis-Swan

We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model, which describes the dipolar interaction between an ensemble of spins and two bosonic modes. The two-mode Dicke model exhibits normal to superradiant…

Quantum Physics · Physics 2023-03-29 Aleksandrina V. Kirkova , Peter A. Ivanov

The quantum phase transition of the Dicke-model has been observed recently in a system formed by motional excitations of a laser-driven Bose--Einstein condensate coupled to an optical cavity [1]. The cavity-based system is intrinsically…

Quantum Physics · Physics 2011-10-26 D. Nagy , G. Szirmai , P. Domokos

Using tools of quantum information theory we show that the ground state of the Dicke model exhibits an infinite sequence of instabilities (quantum-phase-like transitions). These transitions are characterized by abrupt changes of the…

Quantum Physics · Physics 2009-11-11 Vladimir Buzek , Miguel Orszag , Marian Rosko

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

Dissipative quantum chaos plays a central role in the characterization and control of information scrambling, non-unitary evolution, and thermalization, but it still lacks a precise definition. The Grobe-Haake-Sommers conjecture, which…

Quantum Physics · Physics 2026-02-03 Debabrata Mondal , Lea F. Santos , S. Sinha
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