Replica Wormholes and Holographic Entanglement Negativity
| Autor: | Xi Dong, Sean McBride, Wayne W. Weng |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics General Relativity and Quantum Cosmology Condensed Matter - Strongly Correlated Electrons High Energy Physics - Theory (hep-th) Strongly Correlated Electrons (cond-mat.str-el) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) |
| Zdroj: | Journal of High Energy Physics |
| Popis: | Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about the structure of its quantum state is needed to fully understand the dynamics of black hole evaporation. Here we study entanglement negativity, an important measure of quantum entanglement in mixed states, in a couple of toy models of evaporating black holes. We find four phases dominated by different types of geometries: the disconnected, cyclically connected, anti-cyclically connected, and pairwise connected geometries. The last of these geometries are new replica wormholes that break the replica symmetry spontaneously. We also analyzed the transitions between these four phases by summing more generic replica geometries using a Schwinger-Dyson equation. In particular, we find enhanced corrections to various negativity measures near the transition between the cyclic and pairwise phase. 51 pages, 8 figures, v2: JHEP version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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