Entanglement dynamics in confining spin chains

Abstract

The confinement of elementary excitations induces distinctive features in the non-equilibrium quench dynamics. One of the most remarkable is the suppression of entanglement entropy which in several instances turns out to oscillate rather than grow indefinitely. While the qualitative physical origin of this behavior is clear, till now no quantitative understanding away from the field theory limit was available. Here we investigate this problem in the weak quench limit, when mesons are excited at rest, hindering entropy growth and exhibiting persistent oscillations. We provide analytical predictions of the entire entanglement dynamics based on a Gaussian approximation of the many-body state, which captures numerical data with great accuracy and is further simplified to a semiclassical quasiparticle picture in the regime of weak confinement. Our methods are valid in general and we apply explicitly to two prototypical models: the Ising chain in a tilted field and the experimentally relevant long-range Ising model.

12 pages, 6 figures; v2:modified layout + minor changes

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Cited by in corpus (20)

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• Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
• Dynamical hadron formation in long-range interacting quantum spin chains
• Detecting a long lived false vacuum with quantum quenches
• Dynamical localization transition of string breaking in quantum spin chains
• Unified entropies and quantum speed limits for nonunitary dynamics
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Entanglement propagation and dynamics in non-additive quantum systems
• Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• A quantum information perspective on meson melting
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• Integrability breaking and bound states in Google's decorated XXZ circuits
• Non-Markovianity of subsystem dynamics in isolated quantum many-body systems
• Multiparticle Quantum Heat Engine: Exploring the Impact of Criticality on Efficiency
• Spreading of a local excitation in a Quantum Hierarchical Model
• Dynamical deconfinement transition driven by density of excitations
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles