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

2025/12/19 by Pelissetto, Andrea, Rossini, Davide, Vicari, Ettore · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2512.17333

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=g_c and h=0, and first-order quantum transitions (FOQTs) driven by h along the line h=0 (g0. We focus on values of h_f such that the spectrum of the post-QQ Hamiltonian H(g,h_f) 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 > g_c (where the chain is in the disordered phase), for g = g_c (QQ across the CQT), and for g

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Cited by

• A Variational Framework for Time-Dependent Quantum Systems with Applications to Floquet Hamiltonians

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