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We analyze scaling behaviors of simulated annealing carried out on various classical systems with topological order, obtained as appropriate limits of the toric code in two and three dimensions. We first consider the three-dimensional…

Statistical Mechanics · Physics 2018-02-08 Na Xu , Claudio Castelnovo , Roger G. Melko , Claudio Chamon , Anders W. Sandvik

The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1+1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase…

High Energy Physics - Lattice · Physics 2010-01-21 Alexander Velytsky

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge-Higgs model is a quite…

Quantum Gases · Physics 2015-06-08 Yoshihito Kuno , Kenichi Kasamatsu , Yoshiro Takahashi , Ikuo Ichinose , Tetsuo Matsui

We study the far-from-equilibrium dynamics of a (2+1)-dimensional superfluid at finite temperature and chemical potential using its holographic description in terms of a gravitational system in 3+1 dimensions. Starting from various initial…

High Energy Physics - Theory · Physics 2015-06-11 Carlo Ewerz , Thomas Gasenzer , Markus Karl , Andreas Samberg

The evolution of a quantum lattice gas automaton (LGA) for a single charged particle is invariant under multiplication of the wave function by a global phase. Requiring invariance under the corresponding local gauge transformations…

Quantum Physics · Physics 2009-11-07 David A. Meyer

Turbulent scaling phenomena are studied in an ultracold Bose gas away from thermal equilibrium. Fixed points of the dynamical evolution are characterized in terms of universal scaling exponents of correlation functions. The scaling behavior…

Quantum Gases · Physics 2014-11-20 Christian Scheppach , Jürgen Berges , Thomas Gasenzer

Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as…

Quantum Gases · Physics 2017-03-07 M. D. Hoffman , A. C. Loheac , W. J. Porter , J. E. Drut

Ultracold quantum gases are highly controllable and, thus, capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to…

Quantum Gases · Physics 2022-02-17 Andrea Tononi , Axel Pelster , Luca Salasnich

The dynamical evolution of hot optically thin plasmas in the ISM crucially depends on the heating and cooling processes. It is essential to realize that all physical processes that contribute operate on different time scales. In particular…

Astrophysics · Physics 2009-11-07 Dieter Breitschwerdt

We discuss the onset of the thermalization process in high-energy heavy-ion collisions from a weak coupling perspective, using classical-statistical real-time lattice simulations as a first principles tool to study the pre-equilibrium…

High Energy Physics - Phenomenology · Physics 2014-09-08 Jürgen Berges , Björn Schenke , Sören Schlichting , Raju Venugopalan

With the advent of quantum simulators, exploring exotic collective phenomena in lattice models with local symmetries and unconventional geometries is at reach of near-term experiments. Motivated by recent progress in this direction, we…

Strongly Correlated Electrons · Physics 2026-03-05 Enrico C. Domanti , Alejandro Bermudez

Active matter refers to a broad class of non-equilibrium systems where energy is continuously injected at the level of individual ``particles". These systems exhibit emergent collective behaviors that have no direct thermal-equilibrium…

Soft Condensed Matter · Physics 2026-02-10 Zihan Zheng , Cunyuan Jiang , Yangrui Chen , Matteo Baggioli , Jie Zhang

Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from…

We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a…

High Energy Physics - Lattice · Physics 2015-05-12 Oscar Akerlund , Philippe de Forcrand

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

High Energy Physics - Lattice · Physics 2017-01-30 Edward Shuryak

We present a study of the dynamics of multi-component models of spiral galaxies at various stages of grand merging. Numerical models include a self-consistent account of the dynamics of collisionless stellar subsystems and N-body dark…

Astrophysics of Galaxies · Physics 2025-02-25 Alexander Khoperskov , Sergei Khrapov , Danila Sirotin , Anatoly Zasov

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

Quantum Gases · Physics 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha

We study the dynamical depinning following a sudden turn off of an optical lattice for a gas of impenetrable bosons in a tight atomic waveguide. We use a Bose-Fermi mapping to infer the exact quantum dynamical evolution. At long times, in…

Quantum Gases · Physics 2015-12-09 Florian Cartarius , Eiji Kawasaki , Anna Minguzzi

Nontrivial topological invariant of bulk electronic wavefunctions in two-dimensional quantum crystals leaves its footprints on the edge, dislocation, and corner modes. Here we investigate non-unitary time dynamics of these topological modes…

Mesoscale and Nanoscale Physics · Physics 2025-02-07 Saakshi Porwal , Bitan Roy

We investigate gauge invariance against phase space shifting in nonequilibrium systems, as represented by time-dependent many-body Hamiltonians that drive an initial ensemble out of thermal equilibrium. The theory gives rise to gauge…

Statistical Mechanics · Physics 2025-04-25 Johanna Müller , Florian Sammüller , Matthias Schmidt