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A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We perform a sudden quench on the Haldane model with long range interactions, more specifically generalising to the next to next nearest neighbour hopping, referred to as the $N3$ model in our work. Such a model possesses both isotropic and…

Statistical Mechanics · Physics 2017-04-19 Utso Bhattacharya , Joanna Hutchinson , Amit Dutta

Phase diagram of a discrete counterpart of the classical Heisenberg model, the truncated tetrahedral model, is analyzed on the square lattice, when the interaction is ferromagnetic. Each spin is represented by a unit vector that can point…

Statistical Mechanics · Physics 2016-08-25 Roman Krcmar , Andrej Gendiar , Tomotoshi Nishino

We prove, by means of a unified treatment, that the superradiant phase transitions of Dicke and classical oscillator limits of simple light-matter models are indeed of the same type. We show that the mean-field approximation is exact in…

Quantum Physics · Physics 2019-12-18 Jie Peng , Enrique Rico , Jianxin Zhong , Enrique Solano , Inigo L. Egusquiza

We present the mathematical theory of one-dimensional infinitely periodic chains of subwavelength resonators. We analyse both Hermitian and non-Hermitian systems. Subwavelength resonances and associated modes can be accurately predicted by…

Analysis of PDEs · Mathematics 2023-04-21 Habib Ammari , Silvio Barandun , Jinghao Cao , Florian Feppon

Composite topological phases with intriguing topology like M${\"o}$bius strips emerge in sublattice symmetric non-Hermitian systems due to spontaneous breaking of time-reversal symmetry at some parameter regime. While these phases have been…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Ritu Nehra , Dibyendu Roy

We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics…

Statistical Mechanics · Physics 2018-05-07 Johannes Lang , Bernhard Frank , Jad C. Halimeh

We use quantum Monte Carlo methods to demonstrate that the quantum phase diagram of the S=1 Heisenberg model with uniaxial anisotropy contains an extended supersolid phase. We also show that this Hamiltonian is a particular case of a more…

Strongly Correlated Electrons · Physics 2009-11-13 P. Sengupta , C. D. Batista

We investigate the universally non-equilibrium dynamics of superradiant phase transition in the anisotropic quantum Rabi model. By introducing position and momentum operators, we obtain the ground states and their excitation gaps for both…

Quantum Physics · Physics 2021-10-27 Xunda Jiang , Bo Lu , Chengyin Han , Ruihuan Fang , Minhua Zhao , Zhu Ma , Tian Guo , Chaohong Lee

Motivated by the experimental realization of Dicke model in optical cavities, we model an optomechanical system consisting of a two level BEC with transverse pumping. We investigate the transition from normal and inverted state to the…

Quantum Physics · Physics 2015-07-14 Kamanasish Debnath , Aranya B. Bhattacherjee

Machine learning techniques have been shown to be effective to recognize different phases of matter and produce phase diagrams in the parameter space interested, while they usually require prior labeled data to perform well. Here, we…

It has been recently argued that near-integrable nonautonomous one-degree-of-freedom Hamiltonian systems are constrained by KAM theory even when the time-dependent (nonintegrable) part of the Hamiltonian is given in the form of a…

Chaotic Dynamics · Physics 2007-05-23 F. J. Beron-Vera , M. J. Olascoaga , M. G. Brown

We theoretically study the dynamical phase diagram of the Dicke model in both classical and quantum limits using large, experimentally relevant system sizes. Our analysis elucidates that the model features dynamical critical points that are…

Quantum Physics · Physics 2021-06-09 R. J. Lewis-Swan , S. R. Muleady , D. Barberena , J. J. Bollinger , A. M. Rey

We address some open questions regarding the phase diagram of the one-dimensional Hubbard model with asymmetric hopping coefficients and balanced species. In the attractive regime we present a numerical study of the passage from on-site…

Strongly Correlated Electrons · Physics 2010-06-25 L. Barbiero , M. Casadei , M. Dalmonte , C. Degli Esposti Boschi , E. Ercolessi , F. Ortolani

We derive analytical results for various quantities related to the excited-state quantum phase transitions in a class of Dicke superradiance models in the semiclassical limit. Based on a calculation of a partition sum restricted to Dicke…

Statistical Mechanics · Physics 2013-10-22 Tobias Brandes

The notion of topological phases extended to dynamical systems stimulates extensive studies, of which the characterization of non-equilibrium topological invariants is a central issue and usually necessitates the information of quantum…

Quantum Physics · Physics 2021-10-11 Danying Yu , Bo Peng , Xianfeng Chen , Xiong-Jun Liu , Luqi Yuan

The non-analyticity induced by exceptional points (EPs) has manifestations not only in non-Hermitian but also in Hermitian systems. In this work, we focus on a minimal Hermitian bosonic Kitaev model to reveal the dynamical demonstration of…

Quantum Physics · Physics 2025-12-02 D. K. He , Z. Song

Dynamical characterization of topological phases under quantum quench dynamics has been demonstrated as a powerful and efficient tool. Previous studies have been focused on systems of which the Hamiltonian consists of matrices that commute…

Quantum Physics · Physics 2023-05-24 Xi Wu , Panpan Fang , Fuxiang Li

We establish a unified framework for dynamical quantum phase transitions (DQPTs) in non-Hermitian systems that encompasses both biorthogonal and self-norm non-biorthogonal formulations for pure and mixed states under quantum quench…

Quantum Physics · Physics 2025-10-27 Yongxu Fu , Gao Xianlong

We predict a re-entrant topological transition in a one dimensional non-Hermitian quasiperiodic lattice. By considering a non-Hermitian generalized Aubry-Andr\'e-Harper (AAH) model with quasiperiodic potential, we show that the system first…

Quantum Gases · Physics 2023-06-21 Ashirbad Padhan , Soumya Ranjan Padhi , Tapan Mishra
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