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Postquench relaxation dynamics of Gross-Neveu lattice fermions

Domenico Giuliano1,2,3,*, Reinhold Egger1, Bidyut Dey2, and Andrea Nava1

  • *Contact author: domenico.giuliano@fis.unical.it
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Phys. Rev. Research 8, 023108 – Published 1 May, 2026

DOI: https://doi.org/10.1103/qh7t-jsjm

Abstract

We study the quantum relaxation dynamics for a lattice version of the one-dimensional N-flavor Gross-Neveu model after a Hamiltonian parameter quench. Allowing for a system-reservoir coupling γ, we numerically describe the system dynamics through a time-dependent self-consistent Lindblad master equation. For a closed (γ=0) finite-size system subjected to an interaction parameter quench, the order parameter dynamics exhibits oscillations and revivals. In the thermodynamic limit, our results imply that the order parameter reaches its postquench stationary value in accordance with the eigenstate thermalization hypothesis. However, time-dependent finite-momentum correlation matrix elements equilibrate only if γ>0. Our findings are consistent with the system being described by a pertinent generalized Gibbs ensemble and, accordingly, highlight subtle yet important aspects of the postquench relaxation dynamics of quantum many-body systems.

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Phys. Rev. Research 8, 023108– Published 1 May, 2026
  • Received 4 November 2025
  • Accepted 6 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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