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Entanglement Entropy in a Holographic Moving Mirror and the Page Curve
Ibrahim Akal1, Yuya Kusuki1, Noburo Shiba1
1Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
Physical Review Letters
|February 26, 2021
Summary
We calculated entanglement entropy in a 2D conformal field theory with a moving mirror. This holographic model reproduces Hawking radiation and the Page curve for black hole evaporation.
Area of Science:
- Quantum Field Theory
- String Theory
- Black Hole Physics
Background:
- Entanglement entropy quantifies correlations in quantum systems.
- Conformal field theories (CFTs) are crucial in understanding critical phenomena and quantum gravity.
- The Page curve describes the expected behavior of entanglement entropy during black hole evaporation.
Purpose of the Study:
- To calculate the time evolution of entanglement entropy in a 2D CFT with a moving mirror.
- To model Hawking radiation and black hole formation/evaporation using a holographic approach.
- To investigate the emergence of the Page curve in a strongly coupled gravitational system.
Main Methods:
- Utilizing a 2D conformal field theory with a moving mirror.
- Constructing the gravitational dual of the moving mirror model via holography.
- Calculating the time evolution of entanglement entropy.
Main Results:
- Observed linear growth of entanglement entropy for a Hawking radiation model, interpreted as entangled pair production.
- Demonstrated that the entanglement entropy evolution mimics the ideal Page curve for black hole formation and evaporation.
- Established a holographic setup that provides a concrete model for deriving the Page curve.
Conclusions:
- The holographic moving mirror model successfully reproduces key features of black hole thermodynamics and radiation.
- This work offers a tractable framework for studying quantum information in gravitational systems.
- The findings support the holographic principle and provide insights into black hole evaporation dynamics.
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