Moving mirrors, Page curves and bulk entropies in AdS${}_2$

Abstract

Understanding the entanglement of radiation in QFT has been a long standing challenge, with implications ranging from black hole thermodynamics to quantum information. We demonstrate how the case of the free fermion in $1+1$ dimensions reveals the details of the density matrix of the radiation produced by a moving mirror. Using the resolvent method rather than standard CFT techniques we derive the Rényi entropies, modular Hamiltonian and flow of the radiation, and determine when mirrors generate unitary transformations.

arXiv comment10 pages, 4 figures

References in corpus (22)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• A Covariant Holographic Entanglement Entropy Proposal
• Calculation of reduced density matrices from correlation functions
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Islands outside the horizon
• Reduced density matrix and internal dynamics for multicomponent regions
• Entanglement entropy in holographic moving mirror and Page curve
• Entropy and modular Hamiltonian for a free chiral scalar in two intervals
• Remnant-free Moving Mirror Model for Black Hole Radiation Field
• On Horizonless Temperature with an Accelerating Mirror
• The entanglement spectrum of chiral fermions on the torus
• Entropy evolution of moving mirrors and the information loss problem
• Modular Hamiltonians for the massless Dirac field in the presence of a boundary
• Modular Hamiltonian of a chiral fermion on the torus
• Entanglement Hamiltonians and entropy in 1+1D chiral fermion systems
• Moving Mirror Model of Hawking Evaporation
• Resolving modular flow: a toolkit for free fermions

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• The Multiverse in an Inverted Island
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• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Möbius Mirrors
• Entanglement Entropy and Modular Hamiltonian of free fermion with deformations on a torus
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• Classical and quantum field theory in a box with moving boundaries: A numerical study of the Dynamical Casimir Effect
• Quantum power: a Lorentz invariant approach to Hawking radiation
• Upon the horizon's verge: Thermal particle creation between and approaching horizons
• IR-finite thermal acceleration radiation
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• A Note on Entanglement Entropy for Primary Fermion Fields in JT Gravity
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