Four coupled SYK models and nearly AdS2 gravities: phase transitions in traversable wormholes and in bra-ket wormholes
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Publication:5073914
DOI10.1088/1361-6382/AC5736zbMATH Open1505.83041arXiv2011.12962OpenAlexW3110284288WikidataQ112153963 ScholiaQ112153963MaRDI QIDQ5073914
Author name not available (Why is that?)
Publication date: 4 May 2022
Published in: (Search for Journal in Brave)
Abstract: We study four coupled SYK models and nearly AdS gravities. In the SYK model side, we construct a model that couples two copies of two coupled SYK models. In nearly AdS gravity side, we entangle matter fields in two copies of traversable wormholes. In both cases, the systems show first order phase transitions at zero temperature by changing couplings, which is understood as the exchange of traversable wormhole configurations. In nearly AdS gravity cases, by exchanging the role of space and time the wormholes are interpreted as bra-ket wormholes. In Lorentzian signature, these bra-ket wormholes lead to two closed universes that are entangled with each other as well as matter fields in the flat space without dynamical gravity. We study the effect of projection or entangling operation for matters on flat spaces and they cause phase transitions in bra-ket wormholes, which leads to the pair annihilation of closed universes. Using these bra-ket wormholes, we discuss the way to embed states in 2d holographic CFTs into Hilbert space of many 2d free fields.
Full work available at URL: https://arxiv.org/abs/2011.12962
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