Thermalization of Quantum Fields from Time-Reversal Invariant Evolution Equations

Abstract

We study the time evolution of correlation functions in closed quantum systems for nonequilibrium ensembles of initial conditions. For a scalar quantum field theory we show that generic time-reversal invariant evolutions approach equilibrium at large times. The calculation provides a first principles justification of Boltzmann's conjecture that the large-time behavior of isolated macroscopic systems can be described by thermal ensemble averages.

5 pages, 4 figures

Cited by in corpus (158)

• Prethermalization
• Strong and weak thermalization of infinite non-integrable quantum systems
• Warm Inflation and its Microphysical Basis
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Prethermalization and universal dynamics in near-integrable quantum systems
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Thermalization dynamics of a gauge theory on a quantum simulator
• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• Parametric resonance in quantum field theory
• Classical aspects of quantum fields far from equilibrium
• From Kadanoff-Baym dynamics to off-shell parton transport
• n-Particle irreducible effective action techniques for gauge theories
• Nonperturbative renormalization for 2PI effective action techniques
• Transport equations for chiral fermions to order \hbar and electroweak baryogenesis: Part I
• Transport equations for chiral fermions to order \hbar and electroweak baryogenesis: Part II
• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• Thermalization of fermionic quantum fields
• Nonequilibrium time evolution of the spectral function in quantum field theory
• Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram
• Sigma and hydrodynamic modes along the critical line
• Leptogenesis from first principles in the resonant regime
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• Non-Equilibrium Dynamics and Weakly Broken Integrability
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Nonequilibrium Dynamics of Optical Lattice-Loaded BEC Atoms: Beyond HFB Approximation
• Systematic approach to leptogenesis in nonequilibrium QFT: vertex contribution to the CP-violating parameter
• Equilibration in phi^4 theory in 3+1 dimensions
• Gauge-fixing dependence of Phi-derivable approximations
• Formation of topological defects in gauge field theories
• Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for ${\varphi }^4$-theory in 2+1 dimensions
• Renormalized thermodynamics from the 2PI effective action
• Shear Viscosity in the O(N) Model
• Systematic approach to leptogenesis in nonequilibrium QFT: self-energy contribution to the CP-violating parameter
• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Connecting Entanglement in Time and Space: Improving the Folding Algorithm
• Schwinger-Dyson approach to non-equilibrium classical field theory
• Kadanoff-Baym Equations with Non-Gaussian Initial Conditions: The Equilibrium Limit
• The approach to thermalization in the classical phi^4 theory in 1+1 dimensions: energy cascades and universal scaling
• Decoherence and thermalization of a pure quantum state in quantum field theory
• Range of validity of transport equations
• Resumming the large-N approximation for time evolving quantum systems
• Dynamics of Interacting Scalar Fields in Expanding Space-Time
• Hubble-induced phase transitions on the lattice with applications to Ricci reheating
• Transport coefficients from the 2PI effective action
• Comparison of Boltzmann Equations with Quantum Dynamics for Scalar Fields
• Disoriented Chiral Condensate: Theory and Experiment
• Quantum field thermalization in expanding backgrounds
• Renormalization group methods and the 2PI effective action
• Transport coefficients in large N_f gauge theories with massive fermions
• Diffusion and local deconfinement in relativistic systems
• Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of $\lambda {\varphi }^4$ field theory
• A self-consistent Hartree-Fock approach to Many-Body Localization
• Critical phenomena from the two-particle irreducible 1/N expansion
• The O(N) linear sigma model at finite temperature beyond the Hartree approximation
• Isotropization far from equilibrium
• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• 2PI effective action for gauge theories: Renormalization
• Finite Width in out-of-Equilibrium Propagators and Kinetic Theory
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• 2PI functional techniques for gauge theories: QED
• Comparison of Boltzmann Kinetics with Quantum Dynamics for a Chiral Yukawa Model Far From Equilibrium
• Functional renormalization group and 2PI effective action formalism
• Thermalization of an Interacting Quantum Field in the CTP-2PI Next-to-leading-order Large N Scheme
• Anomalous net-baryon-rapidity spectra at RHIC
• Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
• Renormalised nonequilibrium quantum field theory: scalar fields
• Staying Thermal with Hartree Ensemble Approximations
• Progress in nonequilibrium quantum field theory III
• The 2PI effective action at four loop order in ${\phi }^4$ theory
• Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles
• Adaptive Numerical Solution of Kadanoff-Baym Equations
• Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model
• Dilepton production from hot hadronic matter in nonequilibrium
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation
• On the Langevin description of nonequilibrium quantum fields
• Primordial cosmic fluctuations for variable gravity
• Looking for defects in the 2PI correlator
• Ultracold gases far from equilibrium
• Next-to-Leading Order Transport Coefficients from the Four-Particle Irreducible Effective Action
• Broken phase scalar effective potential and Phi-derivable approximations
• Renormalization group flow equations connected to the $n$PI effective action
• Quantum Kinetic Theory of BEC Lattice Gas:Boltzmann Equations from 2PI-CTP Effective Action
• Ward Identities for the 2PI effective action in QED
• Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism
• Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Nonequilibrium evolution in scalar O(N) models with spontaneous symmetry breaking
• Nonperturbative renormalization of Phi-derivable approximations in theories with fermions
• Cosmic fluctuations from quantum effective action
• Dynamics of broken symmetry lambda phi^4 field theory
• Out-of-equilibrium electromagnetic radiation
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations
• QCD at high density/temperature
• Selfconsistent approximations, symmetries and choice of representation
• Entropy production in 2D $\lambda {\varphi }^4$ theory in the Kadanoff-Baym approach
• Thermal effects on slow-roll dynamics
• Bethe-Salpeter Equations from the 4PI effective action
• Correlation Entropy of an Interacting Quantum Field and H-theorem for the O(N) Model
• Separation of Equilibration Time-Scales in the Gradient Expansion
• Decoherence in Quantum Mechanics
• 2PI nonequilibrium versus transport equations for an ultracold Bose gas
• Dynamical behavior of spatially inhomogeneous relativistic $\lambda {\varphi }^4$ quantum field theory in the Hartree approximation
• The Hartree ensemble approximation revisited: The "symmetric phase"
• 4-point vertices from the 2PI and 4PI Effective Actions
• Approximating the long time average of the density operator: Diagonal ensemble
• Many-body chaos near a thermal phase transition
• Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction
• Environment induced pre-thermalization in the Mott-Hubbard model
• A Step Beyond the Bounce: Bubble Dynamics in Quantum Phase Transitions
• Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the 2PPI formalism
• Resummations in the Bloch-Nordsieck model
• Hydrodynamic scaling from the dynamics of relativistic quantum field theory
• Quantum dynamics of Phi**4 field theory beyond leading order in 1+1 dimensions
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• A new method to calculate the n-Particle Irreducible Effective Action
• The renormalized and Renormalization-Group invariant Hartree-Fock approximation
• A critical look at the role of the bare parameters in the renormalization of Phi-derivable approximations
• Renormalization of the 4PI effective action using the functional renormalization group
• Can observations look back to the beginning of inflation?
• Validating the 2PI resummation: the Bloch-Nordsieck example
• The effect of memory on relaxation in a scalar field theory
• Some aspects of collisional sources for electroweak baryogenesis
• Renormalization in momentum dependent resummations
• The 2PI finite temperature effective potential of the O(N) linear sigma model in 1+1 dimensions, at next-to-leading order in 1/N
• Keldysh functional renormalization group for electronic properties of graphene
• Nonequilibrium Evolution of Correlation Functions: A Canonical Approach
• A Monte Carlo framework for noncontinuous interactions between particles and classical fields
• Renormalization out of equilibrium in a superrenormalizable theory
• Results from the 4PI Effective Action in 2- and 3-dimensions
• Broken symmetry phase solution of the phi^4 model at two-loop level of the Phi-derivable approximation
• Entanglement Properties of SU(2) Gauge Theory
• Parallel algorithm with spectral convergence for nonlinear integro-differential equations
• Kinetic and Chemical Equilibration in Scalar phi^4 Theory
• Renormalisation of out-of-equilibrium quantum fields
• Multiple-Scale Analysis and Renormalization of Quenched Second Order Phase Transitions
• A study of non-linear Langevin dynamics under non-Gaussian noise with quartic cumulant
• Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion
• A Grand Canonical Ensemble Approach to the Thermodynamic Properties of the Nucleon in the Quark-Gluon Coupling Model
• Aspects of Non-Equilibrium Dynamics in Quantum Field Theory
• What the inflaton might tell us about RHIC/LHC
• 2PI simulations in expanding backgrounds: Doing it anyway!
• Quantum field dynamics of the slow rollover in the linear delta expansion
• Simulations in Early Universe Theory
• Out-of-equilibrium quantum fields with conserved charge
• Real-time quantum dynamics, path integrals and the method of thimbles
• Supersymmetric approximations to the 3D supersymmetric O(N) model
• 2PI Effective Action and Evolution Equations of N = 4 super Yang-Mills
• Symmetry breaking in nonuniform noncommutative $\lambda {\varphi }^4$ theory at finite temperature
• A new resummation scheme in scalar field theories
• Improved Hartree--Fock resummations and spontaneous symmetry breaking
• Two-particle Irreducible Effective Action Approach to Correlated Electron Systems
• A study of meson condensation and of the QCD critical line
• Classical simulations and particle production in heavy-ion collisions
• Stochastic ${\varphi }^4-$Theory in the Strong Coupling Limit
• The 2PI coupling expansion revisited
• Bubble nucleation and quantum initial conditions in classical statistical simulations