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We explore the connections between dissipative quantum phase transitions and non-Hermitian random matrix theory. For this, we work in the framework of the dissipative Dicke model which is archetypal of symmetry-breaking phase transitions in…

Quantum Physics · Physics 2022-05-25 Mahaveer Prasad , Hari Kumar Yadalam , Camille Aron , Manas Kulkarni

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

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…

Quantum Physics · Physics 2007-10-01 Yong Li , Z. D. Wang , C. P. Sun

We shift the paradigm of feedback control from the control of quantum states to the control of phase transitions in quantum systems. We show that feedback allows tuning the universality class of phase transitions via modifying its critical…

Quantum Physics · Physics 2021-10-04 D. A. Ivanov , T. Yu. Ivanova , S. F. Caballero-Benitez , I. B. Mekhov

We study the dynamics of a complex open quantum many-body system. The coupling to external degrees of freedom can be viewed as a coupling to a radiation field, to continuum states or to a measuring apparatus. This perturbation is treated in…

Quantum Physics · Physics 2009-11-10 Alexander Volya , Vladimir Zelevinsky

We establish a new theoretical framework, based on a time-dependent mean field approach, to address the dynamics of the driven Dicke model. The joint evolution of both mean fields and quantum fluctuations gives rise to a rich and generally…

Quantum Physics · Physics 2016-08-18 G. Francica , S. Montangero , M. Paternostro , F. Plastina

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…

Quantum Physics · Physics 2020-06-17 L. F. Quezada , A. Martín-Ruiz , A. Frank

We discuss the unitary quantum dynamics of the Dicke model (spin and oscillator coupled). A suitable quasiprobabilty representing the quantum state turns out to obey a Fokker-Planck equation, with drift terms representing the underlying…

Quantum Physics · Physics 2015-06-04 Alexander Altland , Fritz Haake

The occurrence of a second-order quantum phase transition in the Dicke model is a well-established feature. On the contrary, a comprehensive understanding of the corresponding open system, particularly in the proximity of the critical…

Quantum Physics · Physics 2026-01-21 Daniele Lamberto , Gabriele Orlando , Salvatore Savasta

One way to look for complex behaviours in many-body quantum systems is to let the number $N$ of degrees of freedom become large and focus upon collective observables. Mean-field quantities scaling as $1/N$ tend to commute, whence complexity…

Quantum Physics · Physics 2015-10-29 F. Benatti , F. Carollo , R. Floreanini

The Dicke model, which describes the collective interaction between an ensemble of atoms and a single-mode photon field, serves as a fundamental framework for studying light-matter interactions and quantum electrodynamic phenomena. In this…

Quantum Physics · Physics 2024-11-14 Bin Jiang , Yi-Yang Li , Junjie Liu , Chen Wang , Jian-Hua Jiang

We consider the Dicke model, describing an ensemble of $N$ quantum spins interacting with a cavity field, and study how the coupling to a non-Markovian environment with power-law spectrum changes the physics of superradiant phase…

Statistical Mechanics · Physics 2016-11-30 Orazio Scarlatella , Marco Schiró

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,…

Quantum Physics · Physics 2014-08-27 A L Grimsmo , A S Parkins

We investigate the near-critical dynamics of atomic density fluctuations in the non-equilibrium self-organization transition of an optically driven quantum gas coupled to a single mode of a cavity. In this system cavity-mediated long-range…

Quantum Gases · Physics 2013-12-03 Manas Kulkarni , Baris Öztop , Hakan E. Türeci

We study the effect of pulsed driving and kicked driving of the interaction term on the non-equilibrium phase transition in the Dicke Model. Within the framework of Floquet theory, we observe the emergence of new non-trivial phases on…

Statistical Mechanics · Physics 2015-05-26 Sayak Dasgupta , Utso Bhattacharya , Amit Dutta

Dynamical quantum phase transitions (DQPTs) are non-equilibrium transitions characterized by the orthogonality between an initial quantum state and its time-evolved counterpart following a sudden quench. Recently, studies of this phenomenon…

Quantum Physics · Physics 2026-05-27 Kai Zhang , Chang Shu , Kai Sun

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

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

Superconductivity · Physics 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov

We study the effects of quantum fluctuations in the two-component Bose-Hubbard model generalizing to mixtures the quantum Gutzwiller approach introduced recently in [Phys. Rev. Research 2, 033276 (2020)]. As a basis for our study, we…

Quantum Gases · Physics 2022-03-30 V. E. Colussi , F. Caleffi , C. Menotti , A. Recati

We analyze multipartite correlations in a generalized Dicke model involving two optical modes interacting with an ensemble of two-level atoms. In particular, we examine correlations beyond the standard bipartite entanglement and derive…

Quantum Physics · Physics 2021-11-25 Rodolfo Soldati , Mark T. Mitchison , Gabriel T. Landi