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Related papers: Monodromy in Dicke superradiance

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The superradiant phenomenon, usually described by the Dicke model, is a hallmark of strong light-matter interaction. We explore how matter-matter interactions influence this phenomenon by performing ground-state simulations of Dicke-like…

Quantum Physics · Physics 2025-10-01 João Pedro Mendonça , Krzysztof Jachymski , Yao Wang

Rotational states for trapped bosons in an optical lattice are studied in the framework of the Hubbard model. Critical frequencies are calculated and the main parameter regimes are identified. Transitions are observed from edge superfluids…

Other Condensed Matter · Physics 2009-11-13 Emil Lundh

We investigate superradiant quantum phase transitions in a Dicke trimer model consisting of two types of hoppings, i.e., photon hoppings and atom hoppings. In the superradiant regime, the system can exist in two distinct phases: normal and…

Quantum Physics · Physics 2026-03-27 Jun-Wen Luo , Bo Wang , Ze-Liang Xiang

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

Dicke superradiance is a fascinating phenomenon in which a large number of atoms cooperate to produce a brief and very intense burst of spontaneous emission. This phenomenon has been well studied in the laboratory, but its astrophysical…

High Energy Astrophysical Phenomena · Physics 2026-02-10 Abdaljalel E. Alizzi , Zurab K. Silagadze

We show how an ion trap, configured for the coherent manipulation of external and internal quantum states, can be used to simulate the irreversible dynamics of a collective angular momentum model known as the Dicke model. In the special…

Quantum Physics · Physics 2013-05-29 S. Schneider , G. J. Milburn

We try to classify the spectrum of the two-qubit Dicke model by calculating two quantum information measures of its eigenstates: the Wooters concurrence and the mutual quantum information. We are able to detect four spectral sets in each…

Quantum Physics · Physics 2014-03-26 B. M. Rodríguez-Lara , S. A. Chilingaryan , H. M. Moya-Cessa

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…

Quantum Physics · Physics 2007-05-23 Marco Frasca

We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynamics display quasi-localization of momentum, or quadratic…

Quantum Physics · Physics 2015-06-23 Italo Guarneri , Giulio Casati , Volker Karle

We study the semiclassical limit of the anisotropic two-photon Dicke model with a dissipative bosonic field and describe its rich nonlinear dynamics. Besides normal and 'superradiant'-like phases, the presence of localized fixed points…

Quantum Physics · Physics 2022-09-07 Jiahui Li , Rosario Fazio , Stefano Chesi

A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a formally exact solution which we subject to a…

Optics · Physics 2009-10-31 Petr A. Braun , Daniel Braun , Fritz Haake , Joachim Weber

Electromagnetically induced optical (or photonic) lattices via atomic coherence in atomic ensembles have recently received great theoretical and experimental interest. We here conceive a way to generate electromagnetically induced moir\'{e}…

Optics · Physics 2022-03-02 Zhiming Chen , Xiuye Liu , Jianhua Zeng

We discuss the dynamics of classical Dicke-type models, aiming to clarify the mechanisms by which coherent states could develop in potentially non-equilibrium systems such as semiconductor microcavities. We present simulations of an…

Strongly Correlated Electrons · Physics 2011-11-09 P. R. Eastham

Previous experimental realizations of Dicke model in atomic or ionic systems are based on global observables assuming uniform spin-boson coupling, while inevitable experimental nonuniformity on the one hand requires site-resolved…

The quantum dynamics of initial coherent states is studied in the Dicke model and correlated with the dynamics, regular or chaotic, of their classical limit. Analytical expressions for the survival probability, i.e. the probability of…

The notion of monodromy was introduced by J. J. Duistermaat as the first obstruction to the existence of global action coordinates in integrable Hamiltonian systems. This invariant was extensively studied since then and was shown to be…

Mathematical Physics · Physics 2020-01-30 Nikolay Martynchuk , Henk W. Broer , Konstantinos Efstathiou

In this work, we propose a method to investigate controllable qubit-resonator interactions in a Dicke model with driven biased term. The nonlinearity of spectrum, which can be induced by qubit-resonator interactions, plays an important role…

Quantum Physics · Physics 2022-04-06 Ning Yu , Shiran Wang , Chunfang Sun , Gangcheng Wang

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

Quantum dynamics of a collection of atoms subjected to phase modulation has been carefully revisited. We present an exact analysis of the evolution of a two-level system (represented by a spinor) under the action of a time-dependent matrix…

Quantum Physics · Physics 2024-11-20 Rahul Gupta , Manan Jain , Sudhir R. Jain

We show a natural relation between the monodromy formula for focus-focus singularities of integrable Hamiltonian systems and a formula of Duistermaat-Heckman, and extend the main results of our previous note on focus-focus singularities…

Dynamical Systems · Mathematics 2007-05-23 Nguyen Tien Zung