Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach

Abstract

We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field theory from initial mass $m_0$ to final mass $m$. The main analytical results are obtained from a perturbative expansion of the twist field one-point function in the post-quench quasi-particle basis. The expected linear growth of the Rényi entropies at large times $mt\gg 1$ emerges from a perturbative calculation at second order. We also show that the Rényi and von Neumann entropies, in infinite volume, contain subleading oscillatory contributions of frequency $2m$ and amplitude proportional to $(mt{)}^{-3/2}$. The oscillatory terms are correctly predicted by an alternative perturbation series, in the pre-quench quasi-particle basis, which we also discuss. A comparison to lattice numerical calculations carried out on an Ising chain in the scaling limit shows very good agreement with the quantum field theory predictions. We also find evidence of clustering of twist field correlators which implies that the entanglement entropies are proportional to the number of subsystem boundary points.

arXiv comment1+34 pages, 7 figures, 1 table

References in corpus (46)

• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Time-dependence of correlation functions following a quantum quench
• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Quantum Quench in the Transverse Field Ising Chain
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Quantum quenches in 1+1 dimensional conformal field theories
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Real time confinement following a quantum quench to a non-integrable model
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Reduced Density Matrix after a Quantum Quench
• Solution of a minimal model for many-body quantum chaos
• Entanglement dynamics after quantum quenches in generic integrable systems
• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• Quantum Quenches in Integrable Field Theories
• What is an integrable quench?
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Entanglement Scrambling in 2d Conformal Field Theory
• Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Quantum quench in the sine-Gordon model
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• Entanglement negativity after a global quantum quench
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Dynamics in the Ising field theory after a quantum quench
• Entanglement Growth after a Global Quench in Free Scalar Field Theory
• Finite-temperature lineshapes in gapped quantum spin chains
• Hamiltonian truncation approach to quenches in the Ising field theory
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Entanglement dynamics in short and long-range harmonic oscillators
• Zamolodchikov-Faddeev Algebra and Quantum Quenches in Integrable Field Theories
• Hybrid semiclassical theory of quantum quenches in one dimensional systems
• Entanglement in a periodic quench
• On the theory of quantum quenches in near-critical systems
• Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Exact solution for the quench dynamics of a nested integrable system
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Quench dynamics of the Ising field theory in a magnetic field
• Entanglement and diagonal entropies after a quench with no pair structure
• Light-cone velocities after a global quench in a non-interacting model
• Corrections to scaling for block entanglement in massive spin-chains
• Quantum quench in the attractive regime of the sine-Gordon model
• Perturbative post-quench overlaps in Quantum Field Theory

Cited by in corpus (23)

• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Entanglement Oscillations near a Quantum Critical Point
• Entanglement spreading in non-equilibrium integrable systems
• U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Entanglement of the $3$-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
• Entanglement spreading and quasiparticle picture beyond the pair structure
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Relaxation and entropy generation after quenching quantum spin chains
• Entanglement front generated by an impurity travelling in an isolated many-body quantum system
• Quench dynamics in lattices above one dimension: the free fermionic case
• Magnetization oscillations in a periodically driven transverse field Ising chain
• Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
• Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Field mixing in a thermal medium: A quantum master equation approach
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench