Quantum quench, large N, and symmetry restoration
arXiv:2003.11745 · doi:10.1007/JHEP07(2020)107
Abstract
We globally quench the theory of two dimensional massless fermions (many flavours) with quartic interactions by making the quartic coupling a smooth function of time. Working in a derivative expansion we show that the discrete Z2 symmetry in case of the Gross-Neveu model, and the U(1) symmetry in case of the Nambu-Jona-Lasinio model, are restored during the zero-temperature quench. For the Gross-Neveu model we show that this can be understood as an effective thermalization. The time of symmetry restoration shows scaling with the quench rate. We identify this with the Kibble-Zurek scaling in the problem. In a suitable double scaling limit, the symmetry restoration may be understood in terms of Liouville quantum mechanics.
arXiv comment14 pages + appendices, matches published version
References in corpus (32)
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Physics of Strongly coupled Quark-Gluon Plasma
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- Beauty is Attractive: Moduli Trapping at Enhanced Symmetry Points
- Quantum quench in interacting field theory: a self-consistent approximation
- Quantum quench of the Sachdev-Ye-Kitaev Model
- Quantum quench in the sine-Gordon model
- Holographic Superfluids and the Dynamics of Symmetry Breaking
- Scalar Field Dynamics in Friedman Robertson Walker Spacetimes
- Universal scaling in fast quantum quenches in conformal field theories
- Out of Equilibrium Dynamics of an Inflationary Phase Transition
- Universality in fast quantum quenches
- Smooth and fast versus instantaneous quenches in quantum field theory
- The Gross-Neveu Model from String Theory
- Chaos in chiral condensates in gauge theories
- Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
- Thermalization without eigenstate thermalization hypothesis after a quantum quench
- Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
- Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid
- Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach
- Pair creation in electric fields, anomalies, and renormalization of the electric current
- An exactly solvable quench protocol for integrable spin models
- Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings
- Generalized Gross-Neveu Models and Chiral Symmetry Breaking from String Theory
- Dynamic trapping near a quantum critical point
- On quantum quenches at one loop
- Order parameter dynamics of the non-linear sigma model in the large limit
- Defect production due to quenching through a multicritical point and along a gapless line