Thermalization of Yang-Mills theory in a $(3+1)$ dimensional small lattice system

Abstract

We study the real-time evolution of SU($2$) Yang-Mills theory in a $(3+1)$ dimensional small lattice system after interaction quench. We numerically solve the Schr{ö}dinger equation with the Kogut-Susskind Hamiltonian in the physical Hilbert space obtained by solving Gauss law constraints. We observe the thermalization of a Wilson loop to the canonical state; the relaxation time is insensitive to the coupling strength, and estimated as ${\tau }_{\mathrm{eq}}\sim 2\pi /T$ with temperatures $T$ at steady states. We also compute the vacuum persistence probability (the Loschmidt echo) to understand the relaxation from the dynamics of the wave function.

arXiv comment10 pages, 8 figures; (v2) version accepted for publication in PRD

References in corpus (25)

• A bound on chaos
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Dynamical quantum phase transitions: a review
• Dynamics of Loschmidt echoes and fidelity decay
• Bottom-up thermalization in heavy ion collisions
• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• The characteristics of thermalization of boost-invariant plasma from holography
• Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory
• Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider
• Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
• Strong coupling isotropization of non-Abelian plasmas simplified
• Typical fast thermalization processes in closed many-body systems
• Measurement of multi-particle azimuthal correlations in $pp$, $p$+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector
• Measurement of the cross section for inclusive isolated-photon production in $pp$ collisions at $\sqrt{s}=13$ TeV using the ATLAS detector
• Does parton saturation at high density explain hadron multiplicities at RHIC ?
• Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
• Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
• Harmonic Oscillator Prepotentials in SU(2) Lattice Gauge Theory
• Loop Approach to Lattice Gauge Theories
• Loop States in Lattice Gauge Theories
• SU(2) Lattice Gauge Theory- Local Dynamics on Non-intersecting Electric flux Loops
• Complex Paths Around The Sign Problem
• Recent development of hydrodynamic modeling in heavy-ion collisions

Cited by in corpus (4)

• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Diagnosis of information scrambling from Hamiltonian evolution under decoherence
• Investigating the QCD dynamical entropy in high-energy hadronic collisions
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry