Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics

Abstract

By exploring a phase space hydrodynamics description of one-dimensional free Fermi gas, we discuss how systems settle down to steady states described by the generalized Gibbs ensembles through quantum quenches. We investigate time evolutions of the Fermions which are trapped in external potentials or a circle for a variety of initial conditions and quench protocols. We analytically compute local observables such as particle density and show that they always exhibit power law relaxation at late times. We find a simple rule which determines the power law exponent. Our findings are, in principle, observable in experiments in an one dimensional free Fermi gas or Tonk's gas (Bose gas with infinite repulsion).

29 pages, 9 figures, v2: published version

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Cited by in corpus (14)

• Entanglement entropies of inhomogeneous Luttinger liquids
• Thermalization in Quenched Open Quantum Cosmology
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
• Boltzmann entropy of a freely expanding quantum ideal gas
• Wigner function for noninteracting fermions in hard wall potentials
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Quench dynamics of noninteracting fermions with a delta impurity
• One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large $N$
• Phase space holography with no strings attached
• Bound on Lyapunov exponent in $c=1$ matrix model
• A hydrodynamic approach to Stark localization
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"