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Related papers: Path integral approach to the full Dicke model

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The existence of zero-dimensional superradiant quantum phase transitions seems inconsistent with conventional statistical physics. This work clarifies this apparent inconsistency. We demonstrate the corresponding effective field theories…

Quantum Physics · Physics 2024-05-07 Zi-Yong Ge , Heng Fan , Franco Nori

Spin-orbit coupled Bose-Einstein condensates (BECs) provide a powerful tool to investigate interesting gauge-field related phenomena. We study the ground state properties of such a system and show that it can be mapped to the well-known…

Quantum Gases · Physics 2014-12-18 Chris Hamner , Chunlei Qu , Yongping Zhang , JiaJia Chang , Ming Gong , Chuanwei Zhang , Peter Engels

The Dicke model famously exhibits a phase transition to a superradiant phase with a macroscopic population of photons and is realized in multiple settings in open quantum systems. In this work, we study a variant of the Dicke model where…

Quantum Physics · Physics 2020-09-30 Rex Lundgren , Alexey V. Gorshkov , Mohammad F. Maghrebi

The energy spectrum of Dicke Hamiltonians with and without the rotating wave approximation for arbitrary atom-number is obtained analytically with the variational method, in which the effective pseudo-spin Hamiltonian resulted from the…

Quantum Physics · Physics 2012-06-25 Jinling Lian , Yuanwei Zhang , J. -Q. Liang

We report the experimental implementation of the Dicke model in the semiclassical approximation, which describes a large number of two-level atoms interacting with a single-mode electromagnetic field in a perfectly reflecting cavity. This…

The ground state of the photon-matter coupled system described by the Dicke model is found to be perfectly squeezed at the quantum critical point of the superradiant phase transition (SRPT). In the presence of the counter-rotating…

The superradiant phase transition (SRPT) is forbidden in the standard isotropic Dicke model due to the so-called no-go theorem induced by A-square term. In the framework of the Dicke model, we demonstrate that SRPTs can occur at both zero…

Quantum Physics · Physics 2025-04-24 Xiang-You Chen , Yu-Yu Zhang , Qing-Hu Chen , Hai-Qing Lin

We calculate the thermodynamic properties of a collection of $N$ small Josephson junctions coupled to a single-mode resonant electromagnetic cavity, at finite temperature $T$, using several approaches. In the first approach, we include all…

Superconductivity · Physics 2009-11-13 Kohjiro Kobayashi , David Stroud

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 study the heat statistics of a quantum Brownian motion described by the Caldeira-Leggett model. By using the path integral approach, we introduce a novel concept of the quantum heat functional along every pair of Feynman paths. This…

Statistical Mechanics · Physics 2018-07-18 Ken Funo , H. T. Quan

We study the steady-state behavior of the open Dicke model, which describes the collective interaction of $N$ spin-$1/2$ particles with a lossy, quantized cavity mode and exhibits a superradiant phase transition above a critical…

Quantum Physics · Physics 2025-10-31 Wenqi Tong , H. Alaeian , F. Robicheaux

The Dicke model and Rabi model can undergo phase transitions from the normal phase to the superradiant phase at the same boundary, which can be accurately determined using some approximated approaches. The underlying mechanism for this…

Quantum Physics · Physics 2021-11-24 Wei-Feng Zhuang , Bin Geng , Hong-Gang Luo , Guang-Can Guo , Ming Gong

The Dicke model describes the coherent interaction of a laser-driven ensemble of two level atoms with a quantized light field. It is realized within cavity QED experiments, which in addition to the coherent Dicke dynamics feature…

Quantum Gases · Physics 2018-02-08 Jan Gelhausen , Michael Buchhold

The Dicke model (DM) serves as a paradigm for understanding collective light-matter interactions. We introduce the chiral Dicke model, a generalization where an atomic ensemble couples to a two-mode cavity via chiral interactions. Unlike…

Quantum Physics · Physics 2026-04-24 Nikolay Yegovtsev , Sayan Choudhury , W. Vincent Liu

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 equilibrium thermodynamics of the two dimensional Su-Schrieffer-Heeger Model is derived by means of a path integral method which accounts for the variable range of the electronic hopping processes. While the lattice degrees of freedom…

Statistical Mechanics · Physics 2009-11-11 Marco Zoli

In this work we consider a superradiant phase transition problem for the Dicke-Ising model, which generalizes the Dicke and Ising models for annealed complex networks presuming spin-spin interaction. The model accounts the interaction…

Quantum Physics · Physics 2021-08-10 Andrei Yu. Bazhenov , Dmitriy V. Tsarev , Alexander P. Alodjants

We present a perturbation theory for studying thermodynamic properties of the Kondo spin liquid phase of the half-filled Kondo lattice model. The grand partition function is derived to calculate chemical potential, spin and charge…

Strongly Correlated Electrons · Physics 2009-11-07 Qiang Gu

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

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system…

Condensed Matter · Physics 2009-11-07 N. Majd , A. Aghamohammadi , M. Khorrami