Quantum Entanglement of Localized Excited States at Finite Temperature

Abstract

In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators on thermal states and give both field theoretic and holographic calculations. In free field CFTs, we find that the growth of Renyi entanglement entropy at finite temperature is reduced compared to the zero temperature result by a small quantity proportional to the width of the localized excitations. On the other hand, in finite temperature CFTs with classical gravity duals, we find that the entanglement entropy approaches a characteristic value at late time. This behaviour does not occur at zero temperature. We also study the mutual information between the two CFTs in the thermofield double (TFD) formulation and give physical interpretations of our results.

1+28 pages, 12 figures, v2 reference added

References in corpus (9)

• Causality & holographic entanglement entropy
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• Entanglement of low-energy excitations in Conformal Field Theory
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Notes on Quantum Entanglement of Local Operators
• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
• Entanglement Entropy of Disjoint Regions in Excited States : An Operator Method

Cited by in corpus (32)

• Replica wormholes for an evaporating 2D black hole
• Holographic entanglement contour, bit threads, and the entanglement tsunami
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
• Phases of scrambling in eigenstates
• Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
• Many-point classical conformal blocks and geodesic networks on the hyperbolic plane
• Thermality and excited state Rényi entropy in two-dimensional CFT
• Thermalization in Large-N CFTs
• Thermalization after holographic bilocal quench
• Holographic duals of large-c torus conformal blocks
• Entanglement and geometry from subalgebras of the Virasoro algebra
• Scattering effect on entanglement propagation in RCFTs
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Capacity of Entanglement in Local Operators
• Quantum Entanglement of Locally Excited States in Maxwell Theory
• Subsystem distance after a local operator quench
• Quantum dimensions from local operator excitations in the Ising model
• Localized states in global AdS
• Entanglement wedge cross-section in shock wave geometries
• Local quenches and quantum chaos from higher spin perturbations
• Geodesic description of Heavy-Light Virasoro blocks
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• CFT correlators, $\mathcal{W}$-algebras and Generalized Catalan Numbers
• Semiclassical torus blocks in the t-channel
• From locality to irregularity: Introducing local quenches in massive scalar field theory
• Correlation functions and quantum measures of descendant states
• Local quench within the Keldysh technique
• A falling magnetic monopole as a holographic local quench
• Entanglement entropy of local gravitational quenches
• Distribution of entanglement Hamiltonian spectrum in free fermion models
• Finite complexity of the de Sitter vacuum
• Entanglement Suppression Due to Black Hole Scattering