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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

Quantum phase transitions with multicritical points are fascinating phenomena occurring in interacting quantum many-body systems. However, multicritical points predicted by theory have been rarely verified experimentally; finding…

Quantum Physics · Physics 2023-05-17 Yutao Hu , Yu Zhou , Wenchen Luo , Andrea Trombettoni , Guoxiang Huang

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

We study the quantum phase diagram and the onset of quantum critical phenomena in a generalized Dicke model that includes collective qubit-qubit interactions. By employing semiclassical techniques, we analyze the corresponding classical…

Quantum Physics · Physics 2022-09-21 Ricardo Herrera Romero , Miguel Angel Bastarrachea-Magnani , Román Linares

We propose a generalized Dicke model which supports a quantum tricritical point. We map out the phase diagram and investigate the critical behaviors of the model through exact low-energy effective Hamiltonian in the thermodynamic limit. As…

Quantum Physics · Physics 2019-06-05 Youjiang Xu , Han Pu

An investigation of the quantum phase transition in both discrete and continuum field Dicke models is presented. A series of anticrossing features following the criticality is revealed in the band of the field modes. Critical exponents are…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Denis Tolkunov , Dmitry Solenov

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…

Quantum Physics · Physics 2023-09-18 Diego Fallas Padilla , Han Pu

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 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 study the one-dimensional (1D) quantum compass model with two independent parameters by means of an exact mapping to the quantum Ising model. This allows us to uncover hidden features of the quantum phase transition in the ordinary…

Strongly Correlated Electrons · Physics 2009-06-29 Erik Eriksson , Henrik Johannesson

We explore the influence of dissipation on a paradigmatic driven-dissipative model where a collection of two level atoms interact with both quadratures of a quantum cavity mode. The closed system exhibits multiple phase transitions…

Quantum Gases · Physics 2018-09-18 Matteo Soriente , Tobias Donner , R. Chitra , Oded Zilberberg

In a view of recent proposals for the realization of anisotropic light-matter interaction in such platforms as (i) non-stationary or inductively and capacitively coupled superconducting qubits, (ii) atoms in crossed fields and (iii)…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 D. S. Shapiro , W. V. Pogosov , Yu. E. Lozovik

In the vicinity of ground-state phase transitions quantum correlations can display non-analytic behavior and critical scaling. This signature of emergent collective effects has been widely investigated within a broad range of equilibrium…

Statistical Mechanics · Physics 2022-08-31 Mario Boneberg , Igor Lesanovsky , Federico Carollo

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

Recent studies of strongly interacting atoms and photons in optical cavities have rekindled interest in the Dicke model of atomic qubits coupled to discrete photon cavity modes. We study the multimode Dicke model with variable atom-photon…

Quantum Gases · Physics 2012-01-04 Philipp Strack , Subir Sachdev

The Dicke model describes the cooperative interaction of an ensemble of two-level atoms with a single-mode photonic field and exhibits a quantum phase transition as a function of light--matter coupling strength. Extending this model by…

In the context of ultracold atoms in multimode optical cavities, the appearance of a quantum-critical glass phase of atomic spins has been predicted recently. Due to the long-range nature of the cavity-mediated interactions, but also the…

Quantum Gases · Physics 2013-06-21 Michael Buchhold , Philipp Strack , Subir Sachdev , Sebastian Diehl

We show how various mathematical formalisms, specifically the catastrophe formalism and group theory, aid in the study of relevant systems in quantum optics. We describe the phase transition of the Dicke model for a finite number N of…

Quantum Physics · Physics 2013-03-14 Eduardo Nahmad-Achar , Octavio Castaños , Ramón López-Peña , Jorge G. Hirsch

The Dicke model describes an ensemble of N identical two-level atoms (qubits) coupled to a single mode of a bosonic field. The fermion Dicke model should be obtained by changing the atomic pseudo-spin operators by a linear combination of…

Quantum Physics · Physics 2007-06-13 M. Aparicio Alcade , A. L. L. de Lemos , N. F. Svaiter

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
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