Moving mirrors, Page curves and bulk entropies in AdS$_2$
Ignacio A. Reyes
TL;DR
This paper uses a resolvent method to analyze the entanglement properties of radiation from a moving mirror in 1+1 dimensions, revealing details about the density matrix, Rènyi entropies, and unitarity conditions.
Contribution
It introduces a resolvent-based approach to compute entanglement measures for radiation in moving mirror setups, providing new insights beyond standard CFT techniques.
Findings
Derived Rènyi entropies for moving mirror radiation
Identified conditions for unitarity in mirror-induced transformations
Mapped the modular Hamiltonian and flow for the system
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 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 R\'enyi entropies, modular Hamiltonian and flow of the radiation, and determine when mirrors generate unitary transformations.
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