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We provide an overview of the effects of interactions in Bose-condensed gases. We focus on phenomena that have been explored in ultracold atom experiments, covering both tuneable contact interactions and dipolar interactions. Our discussion…

Quantum Gases · Physics 2022-12-16 Christoph Eigen , Robert P. Smith

We consider a previously modified Jaynes-Cummings model with single-photon cavity radiation field and atomic system exchanging a squeezed photon and deduce a normal/superradiance quantum phase transition in the Dicke model of N atoms of…

Quantum Physics · Physics 2025-07-17 Moorad Alexanian

We consider the Dicke model in the ultra-strong coupling limit to investigate thermal phase transitions and their precursors at finite particle numbers $N$ for bosonic and fermionic systems. We derive partition functions with degeneracy…

Quantum Gases · Physics 2012-04-12 M. Aparicio Alcalde , M. Bucher , C. Emary , T. Brandes

We study the numerical solutions of the Dicke Hamiltonian, which describes a system of many two level atoms interacting with a monochromatic radiation field into a cavity. The Dicke model is an example of a quantum collective behavior which…

Quantum Physics · Physics 2011-08-04 Miguel A. Bastarrachea-Magnani , Jorge G. Hirsch

In the short time since the first observation of supersolid states of ultracold dipolar atoms, substantial progress has been made in understanding the zero-temperature phase diagram and low-energy excitations of these systems. Less is…

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

We propose a general protocol for on-demand generation of robust entangled states of nuclear and/or electron spins of ultracold $^1\Sigma$ and $^2\Sigma$ polar molecules using electric dipolar interactions. By encoding a spin-1/2 degree of…

Quantum Physics · Physics 2023-04-10 Timur V. Tscherbul , Jun Ye , Ana Maria Rey

We study an ensemble of strongly coupled electrons under continuous microwave irradiation interacting with a dissipative environment, a problem of relevance to the creation of highly polarized non-equilibrium states in nuclear magnetic…

Statistical Mechanics · Physics 2017-10-18 Alexander Karabanov , Dominic C. Rose , Walter Köckenberger , Juan P. Garrahan , Igor Lesanovsky

We study radiative processes of uniformly accelerated entangled atoms, interacting with an electromagnetic field prepared in the Minkowski vacuum state. We discuss the structure of the rate of variation of the atomic energy for two atoms…

High Energy Physics - Theory · Physics 2016-06-01 G. Menezes , N. F. Svaiter

A second-order quantum phase transition in two-species Bose-Einstein condensates of 87Rb atoms coupled by a quantized radiant field is revealed explicitly in terms of the energy spectrum which is obtained in the thermodynamic limit and is…

Strongly Correlated Electrons · Physics 2007-05-23 Gang Chen , J. -Q. Liang , W. -M. Liu

We discuss a model with ultra-cold atoms confined in optical superlattices. In particular, we study the ground-state properties of two spin-1 bosons trapped in a double-well potential. Depending on the external magnetic field and…

Quantum Physics · Physics 2023-07-19 Artur Barasiński , Wiesław Leoński , Tomasz Sowiński

A phase transition describes the sudden change of state in a physical system, such as the transition between a fluid and a solid. Quantum gases provide the opportunity to establish a direct link between experiment and generic models which…

Quantum Physics · Physics 2010-06-01 Kristian Baumann , Christine Guerlin , Ferdinand Brennecke , Tilman Esslinger

We demonstrate a non-equilibrium phase transition in a dilute thermal atomic gas. The phase transition, between states of low and high Rydberg occupancy, is induced by resonant dipole-dipole interactions between Rydberg atoms. The gas can…

Atomic Physics · Physics 2016-11-04 Christopher Carr , Ralf Ritter , Christopher Wade , Charles S Adams , Kevin J Weatherill

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 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 present an experimental feasible scheme to synthesize two-mode continuous-variable entangled states of two superconducting resonators that are interconnected by two gap-tunable superconducting qubits. We show that, with each artificial…

Quantum Physics · Physics 2015-06-05 Peng-Bo Li , Shao-Yan Gao , Fu-Li Li

Dipole oscillation is studied in a normal phase of a trapped Bose--Fermi-mixture gas composed of single-species bosons and single-species fermions. Applying the moment method to the linearized Boltzmann equation, we derive a closed set of…

Quantum Gases · Physics 2020-01-31 Yoji Asano , Shohei Watabe , Tetsuro Nikuni

We consider a gas of ultracold two-level atoms confined in a cavity, taking into account for atomic center-of-mass motion and cavity mode variations. We use the generalized Dicke model, and analyze separately the cases of a Gaussian, and a…

Quantum Physics · Physics 2015-05-13 Jonas Larson , Maciej Lewenstein

We present a theory of resonant processes in a frozen gas of atoms interacting via dipole-dipole potentials that vary as $r^{-3}$, where $r$ is the interatomic separation. We supply an exact result for a single atom in a given state…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. S. Frasier , V. Celli , T. Blum

We show that the entropy of entanglement is sensitive to the coherent quantum phase transition between normal and super-radiant regions of a system of a finite number of three-level atoms interacting in a dipolar approximation with a…

Quantum Physics · Physics 2019-08-20 Luis Fernando Quezada , Eduardo Nahmad-Achar
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