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The standard phase-ordering process is obtained by quenching a system, like the Ising model, to below the critical point. This is usually done with periodic boundary conditions to insure ergodicity breaking in the low temperature phase.…

Statistical Mechanics · Physics 2020-07-29 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

Two conditions are derived for Ising models to show non-universal critical behaviour, namely conditions concerning 1) logarithmic singularity of the specific heat and 2) degeneracy of the ground state. These conditions are satisfied with…

Statistical Mechanics · Physics 2009-11-10 Kazuhiko Minami , Masuo Suzuki

Recent advances in non-Hermitian physical systems have led to numerous novel optical phenomena and applications. However, most realizations are limited to classical systems and quantum fluctuations of light is unexplored. For the first…

Quantum Physics · Physics 2020-01-24 Wanxia Cao , Xingda Lu , Xin Meng , Jian Sun , Heng Shen , Yanhong Xiao

Ising spin-glass systems with long-range interactions ($J(r)\sim r^{-\sigma}$) are considered. A numerical study of the critical behaviour is presented in the non-mean-field region together with an analysis of the probability distribution…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Leuzzi

Non-equilibrium phase transitions exist in damped-driven open quantum systems, when the continuous tuning of an external parameter leads to a transition between two robust steady states. In second-order transitions this change is abrupt at…

Quantum Physics · Physics 2017-02-02 J. M. Fink , A. Dombi , A. Vukics , A. Wallraff , P. Domokos

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

Statistical Mechanics · Physics 2014-04-01 Silvio Franz , Giorgio Parisi

We discuss the realization of the quantum-critical non-Fermi liquid state, originally discovered within the two-impurity Kondo model, in double quantum-dot systems. Contrary to the common belief, the corresponding fixed point is robust…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gergely Zarand , Chung-Hou Chung , Pascal Simon , Matthias Vojta

We highlight the exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based infinite density…

Strongly Correlated Electrons · Physics 2024-11-26 Umberto Borla , Snir Gazit , Sergej Moroz

We investigate the signature of quantum criticality in the long-time stationary state of the long-range Kitaev chain by performing various quench protocols. In this model, the pairing interaction decays with distance according to a power…

Quantum Physics · Physics 2025-03-13 Akash Mitra , Sanku Paul , Shashi C. L. Srivastava

We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We discuss a notion of quantum critical exponents in open quantum many-body systems driven by quantum noise. We show that in translationally invariant quantum lattice models undergoing quasi-local Markovian dissipative processes, mixed…

Quantum Physics · Physics 2010-12-23 J. Eisert , T. Prosen

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

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

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

We study the late-time relaxation following a quench in a driven-dissipative quantum many-body system. We consider the open Dicke model, describing the infinite-range interactions between $N$ atoms and a single, lossy electromagnetic mode.…

Quantum Gases · Physics 2016-11-28 Johannes Lang , Francesco Piazza

We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the…

Statistical Mechanics · Physics 2012-12-13 Malte Vogl , Gernot Schaller , Tobias Brandes

The decay of an unstable system is usually described by an exponential law. Quantum mechanics predicts strong deviations of the survival probability from the exponential: indeed, the decay is initially quadratic, while at very large times…

Multicritical Ising models and their perturbations are paradigmatic models of statistical mechanics. In two space-time dimensions, these models provide a fertile testbed for investigation of numerous non-perturbative problems in…

Quantum Physics · Physics 2023-12-13 Ananda Roy

We investigate the near-critical dynamics of atomic density fluctuations in the non-equilibrium self-organization transition of an optically driven quantum gas coupled to a single mode of a cavity. In this system cavity-mediated long-range…

Quantum Gases · Physics 2013-12-03 Manas Kulkarni , Baris Öztop , Hakan E. Türeci

Quantum criticality emerges from the collective behavior of many interacting quantum particles, often at the transition between different phases of matter. It is one of the cornerstones of condensed matter physics, which we access on noisy…

Quantum Physics · Physics 2022-07-14 Maxime Dupont , Joel E. Moore