Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory

Abstract

In this paper, we consider the time evolution of charge imbalance resolved negativity after a global quench in the 1+1 dimensional complex Klein-Gordon theory. We focus on two types of global quenches which are called boundary state quench and mass quench respectively. We first study the boundary state quench where the post-quench dynamic is governed by a massless Hamiltonian. In this case, the temporal evolution of charged imbalance resolved negativity can be obtained first by evaluating the correlators of the fluxed twist field in the upper half plane and then applying Fourier transformation. We numerical test our analytical formulas in the underlying lattice model. We also study the mass quench in the complex harmonic chain where the system is evolved according to a massive Hamiltonian after the quench. We argue that our results can be understood in the framework of quasi-particle picture.

arXiv comment24 pages,4 figures. Errors are corrected

References in corpus (51)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement entropy and conformal field theory
• The logarithmic negativity: A full entanglement monotone that is not convex
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Holographic Entanglement Entropy: An Overview
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• The entropy of Hawking radiation
• Generalized Gibbs ensemble in integrable lattice models
• Entanglement negativity in quantum field theory
• Quantum quenches in 1+1 dimensional conformal field theories
• Entanglement negativity in extended systems: A field theoretical approach
• Symmetry-resolved entanglement in many-body systems
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• Finite temperature entanglement negativity in conformal field theory
• Entanglement Scrambling in 2d Conformal Field Theory
• Holographic Charged Renyi Entropies
• Entanglement negativity after a global quantum quench
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Imbalance Entanglement: Symmetry Decomposition of Negativity
• Dynamics of Entanglement Entropy from Einstein Equation
• Rényi generalization of the operational entanglement entropy
• Dynamics of Charge-Resolved Entanglement after a Local Quench
• Entanglement negativity and entropy in non-equilibrium conformal field theory
• Entanglement Growth after a Global Quench in Free Scalar Field Theory
• Conformal Blocks and Negativity at Large Central Charge
• Entanglement negativity after a local quantum quench in conformal field theories
• Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach
• Symmetry decomposition of negativity of massless free fermions
• Symmetry resolved relative entropies and distances in conformal field theory
• Holographic Quantum Entanglement Negativity
• Symmetry resolved entanglement in integrable field theories via form factor bootstrap
• Symmetry-Resolved Entanglement in AdS${}_3$/CFT${}_2$ coupled to $U(1)$ Chern-Simons Theory
• Symmetry-resolved entanglement for excited states and two entangling intervals in AdS${}_3$/CFT${}_2$
• Symmetry decomposition of relative entropies in conformal field theory
• Universal scaling of the logarithmic negativity in massive quantum field theory
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• Entanglement negativity at large central charge
• Charged Moments in $W_3$ Higher Spin Holography
• Entanglement of the $3$-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
• Entanglement Evolution in Lifshitz-type Scalar Theories
• Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
• Charged Rényi negativity of massless free bosons
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Entanglement Entropies of the quarter filled Hubbard model
• Subsystem distance after a local operator quench
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

Cited by in corpus (5)

• Symmetry-resolved Page curves
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
• Symmetry-resolved entanglement in fermionic systems with dissipation