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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

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 Dicke model describes N qubits (or two-level atoms) homogenously coupled to a bosonic mode. Here we examine an open-system realization of the Dicke model, which contains critical and chaotic behaviour. In particular, we extend this…

Quantum Physics · Physics 2013-05-29 Neill Lambert , Yueh-nan Chen , Robert Johannsson , Franco Nori

We present the non-equilibrium phase diagram of a model which can demonstrate both Dicke--Hepp--Lieb superradiance and regular lasing by varying the coherent and incoherent driving terms. We find that the regions in the phase diagram…

Quantum Gases · Physics 2018-02-02 Peter Kirton , Jonathan Keeling

We investigate large deviations of the work performed in a quantum quench across two different phases separated by a quantum critical point, using as example the Dicke model quenched from its superradiant to its normal phase. We extract the…

Statistical Mechanics · Physics 2020-02-10 P. Rotondo , J. Minar , J. P. Garrahan , I. Lesanovsky , M. Marcuzzi

We identify signatures of chaos in the dynamics of discord in a multiqubit system collectively modelled as a quantum kicked top. The evolution of discord between any two qubits is quasiperiodic in regular regions, while in chaotic regions,…

Quantum Physics · Physics 2015-07-21 Vaibhav Madhok , Vibhu Gupta , Angele M. Hamel , Shohini Ghose

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 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

We study the quantum critical behaviour of the Dicke Hamiltonian, with finite number of atoms and explore the signature of quantum chaos using measures like the ground state fidelity and the Loschmidt echo. We show that both these…

Statistical Mechanics · Physics 2014-12-22 Utso Bhattacharya , Sayak Dasgupta , Amit Dutta

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

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 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

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

We propose a method to study the transition to chaos in isolated quantum systems of interacting particles. It is based on the concept of delocalization of eigenstates in the energy shell, controlled by the Gaussian form of the strength…

Quantum Physics · Physics 2012-05-15 L. F. Santos , F. Borgonovi , F. M. Izrailev

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

The Dicke model, renowned for its superradiant quantum phase transition, also exhibits a transition from regular to chaotic dynamics. In this work, we provide a systematic, comparative study of static and dynamical indicators of chaos for…

Quantum Physics · Physics 2026-04-16 Prasad Pawar , Arpan Bhattacharyya , B. Prasanna Venkatesh

We consider a coupled atom-photon system described by the Tavis-Cummings dimer (two coupled cavities) in the presence of photon loss and atomic pumping, to investigate the quantum signature of dissipative chaos. The appropriate classical…

Quantum Gases · Physics 2025-05-28 Debabrata Mondal , Andrey Kolovsky , S. Sinha

Chaos transition, as an important topic, has become an active research subject in non-linear science. By considering a Dicke Hamiltonian coupled to a bath of harmonic oscillator, we have been able to introduce a logistic map with quantum…

Chaotic Dynamics · Physics 2012-07-25 S. Ahadpour , N. Hematpour

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

Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical…

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