Quantum quench in the Luttinger model with finite temperature initial state

Abstract

We study the non-equilibrium dynamics of the Luttinger model after a quantum quench, when the initial state is a finite temperature thermal equilibrium state. The diagonal elements of the density matrix in the steady state show thermal features for high temperature initial states only, otherwise retain highly non-thermal character. The time evolution of Uhlmann fidelity, which measures the distance between the time evolved and initial states, is evaluated for arbitrary initial temperatures and quench protocols. In the long time limit, the overlap between the time evolved and initial system decreases exponentially with the temperature with a universal prefactor. Within perturbation theory, the statistics of final total energy and work are numerically evaluated in the case of a sudden quench, which yield identical distributions at zero temperature. In both statistics, temperature effects are more significant in small systems. The Dirac-delta peak at the adiabatic ground state energy remains present in the probability distribution of the total energy, but disappears from the work distribution at non-zero initial temperatures.

11 pages, 4 figures, accepted in PRB

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Cited by in corpus (19)

• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Memory-preserving equilibration after a quantum quench in a 1d critical model
• Post-quench dynamics and pre-thermalization in a resonant Bose gas
• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Interaction Quench in Nonequilibrium Luttinger Liquids
• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Marginal quenches and drives in Tomonaga-Luttinger liquids
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• The role of quantum work statistics in many-body physics
• On the metric property of quantum Wasserstein divergences
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• A quantum information perspective on meson melting
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Finite-time quantum quenches in the XXZ Heisenberg chain
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• Quantum fluctuation theorem for initial near-equilibrium system