Entanglement Propagation in Integrable Heisenberg Chains from a New Lens
arXiv:2310.00717 · doi:10.1088/2399-6528/ad829a
Abstract
The exact single-magnon entanglement evolution in Heisenberg chains is obtained using the Quantum Correlation Transfer Function (QCTF) formulation. A dual, i.e., frequency and time-domain, analysis shows that the transient dynamics of individual spins' entanglement is described via a Bessel function of the first kind. Through QCTF, we bypass the evaluation of the full system's state for the purpose of obtaining entanglement. Although it is known that the observable entanglement edge is formed by the arrival of a stream of quasi-particles that travel with the maximum group velocity, we show how the early quasi-particles travel faster than the maximum group velocity of the chain and contribute to entanglement production. Our results can be extended to the multi-magnon regime, therefore opening up the means to better interpret equilibration dynamics and thermodynamics in Heisenberg chains.
arXiv commentSupplementary material document attached
References in corpus (41)
- Entanglement Entropy and Quantum Field Theory
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Quantum many-body systems out of equilibrium
- Time-dependence of correlation functions following a quantum quench
- Quantum thermalization through entanglement in an isolated many-body system
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Observation of entanglement propagation in a quantum many-body system
- Light-cone-like spreading of correlations in a quantum many-body system
- Canonical Typicality
- Quantum Quench in the Transverse Field Ising Chain
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Local emergence of thermal correlations in an isolated quantum many-body system
- Quantum Criticality: competing ground states in low dimensions
- Dephasing and the steady state in quantum many-particle systems
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Spread of correlations in long-range interacting quantum systems
- Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
- Exact dynamics in dual-unitary quantum circuits
- Entanglement growth in quench dynamics with variable range interactions
- Nearly-linear light cones in long-range interacting quantum systems
- Analytic results for a quantum quench from free to hard-core one dimensional bosons
- Equilibration of a Tonks-Girardeau gas following a trap release
- Thermalization and Quantum Correlations in Exactly Solvable Models
- Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
- Finite speed of quantum scrambling with long range interactions
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- Dynamics of quantum information
- Exact steady states for quantum quenches in integrable Heisenberg spin chains
- Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
- Entanglement spreading in non-equilibrium integrable systems
- Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
- Quantum Speed Limits for Quantum Information Processing Tasks
- Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
- Twofold correlation spreading in a strongly correlated lattice Bose gas