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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…

量子气体 · 物理学 2012-04-12 M. Aparicio Alcalde , M. Bucher , C. Emary , T. Brandes

We consider an ensemble of three-level particles in lambda-configuration interacting with two bosonic modes. The Hamiltonian has the form of a generalized Dicke-model. We show that in the thermodynamic limit this model supports a…

量子物理 · 物理学 2012-12-24 Mathias Hayn , Clive Emary , Tobias Brandes

The full Dicke model describes a system of $N$ identical two level-atoms coupled to a single-mode quantized bosonic field. The model considers rotating and counter-rotating coupling terms between the atoms and the bosonic field, with…

量子物理 · 物理学 2010-11-16 M. Aparicio Alcalde , B. M. Pimentel

We investigate the thermodynamics of a combined Dicke- and Ising-model which exhibits a rich phenomenology arising from the second order and quantum phase transitions from the respective models. The partition function is calculated using…

量子物理 · 物理学 2012-02-27 Søren Gammelmark , Klaus Mølmer

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…

量子物理 · 物理学 2007-06-13 M. Aparicio Alcade , A. L. L. de Lemos , N. F. Svaiter

We discuss the problem of a N two-level systems interacting with a single radiation mode in the strong-coupling regime. The thermodynamic properties of Dicke model are analyzed developing a perturbative expansion of the partition function…

统计力学 · 物理学 2016-08-31 Giuseppe Liberti , Rosa Letizia Zaffino

The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QPT) and excited state quantum phase transitions (ESQPT). The…

The Dicke model exhibits a variety of phase transitions. The quantum phase transition from the normal phase to the super-radiant phase is marked by a dramatic change in the scaling of the participation ratio. We find that the ground state…

统计力学 · 物理学 2022-04-05 Pragna Das , Auditya Sharma

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

核理论 · 物理学 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker

In the work of Das and Sharma [Phys. Rev. A 105, 033716 (2022)] the phase transitions of the Dicke model are studied. Its main result is that, besides the well-known quantum phase transition, excited-state quantum phase transition and…

量子物理 · 物理学 2022-10-14 Ángel L. Corps , Armando Relaño

We consider spin-boson models composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms. The situation where the coupling between the bosonic mode and the atoms generates real and virtual processes is studied, where…

量子物理 · 物理学 2009-02-10 M. Aparicio Alcalde , R. Kullock , N. F. Svaiter

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…

量子物理 · 物理学 2017-10-31 P. Pérez-Fernández , A. Relaño

Overlap with the separable state is introduced in this paper for the purpose of characterizing the overall correlation in many-body systems. This definition has clear geometric and physical meaning, and moreover can be considered as the…

量子物理 · 物理学 2015-05-18 H. T. Cui

We consider the full Dicke spin-boson model composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms with different couplings for the resonant and anti-resonant interaction terms, and incorporate a dipole-dipole…

量子物理 · 物理学 2015-05-28 M. Aparicio Alcalde , J. Stephany , N. F. Svaiter

We study the finite temperature properties of the extended Bose-Hubbard model on a cubic lattice. This model exhibits the so-called supersolid state. To start with, we investigate ordering processes by quantum Monte Carlo simulations, and…

统计力学 · 物理学 2009-11-13 Keisuke Yamamoto , Synge Todo , Seiji Miyashita

Dicke model predicts a quantum phase transition from normal to superradiant phases for a two-level atomic ensemble coupled with an optical cavity at zero temperature. In a recent pioneer experiment [Nature 464, 1301 (2010)], such a phase…

量子气体 · 物理学 2015-06-04 Yuanwei Zhang , Jinling Lian , J. -Q. Liang , Gang Chen , Chuanwei Zhang , Suotang Jia

We study phase transitions in a two dimensional weakly interacting Bose gas in a random potential at finite temperatures. We identify superfluid, normal fluid, and insulator phases and construct the phase diagram. At T=0 one has a…

无序系统与神经网络 · 物理学 2018-07-26 G. Bertoli , V. P. Michal , B. L. Altshuler , G. V. Shlyapnikov

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

强关联电子 · 物理学 2017-08-23 Subir Sachdev

In typical one-dimensional models the Mermin-Wagner theorem forbids long range order, thus preventing finite-temperature phase transitions. We find a finite-temperature phase transition for a homogeneous system of attractive bosons in one…

统计力学 · 物理学 2016-10-31 Christoph Weiss

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

统计力学 · 物理学 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu
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