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Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models

Andrea Pelissetto1, Davide Rossini2, and Ettore Vicari3

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Phys. Rev. B 113, 144316 – Published 28 April, 2026

DOI: https://doi.org/10.1103/plrd-q8vq

Abstract

We investigate the quantum dynamics generated by quantum quenches (QQs) of the Hamiltonian parameters in many-body systems, focusing on protocols that cross first-order and continuous quantum transitions, both in finite-size systems and in the thermodynamic limit. As a paradigmatic example, we consider the quantum Ising chain in the presence of homogeneous transverse (g) and longitudinal (h) magnetic fields. This model exhibits a continuous quantum transition (CQT) at g=gc and h=0, and first-order quantum transitions (FOQTs) driven by h along the line h=0 (g<gc). In the integrable limit h=0, the system can be mapped onto a quadratic fermionic theory; however, any nonvanishing longitudinal field breaks integrability and the spectrum of the resulting Hamiltonian is generally expected to enter a chaotic regime. We analyze QQs in which the longitudinal field is suddenly changed from a negative value hi<0 to a positive value hf>0. We focus on values of hf such that the spectrum of the post-QQ Hamiltonian Ĥ(g,hf) lies in the chaotic regime, where thermalization may emerge at asymptotically long times. We study the out-of-equilibrium dynamics for different values of g, finding qualitatively distinct behaviors for g>gc (where the chain is in the disordered phase), for g=gc (QQ across the CQT), and for g<gc (QQ across the FOQT line).

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Phys. Rev. B 113, 144316– Published 28 April, 2026
  • Received 30 December 2025
  • Revised 24 March 2026
  • Accepted 1 April 2026
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