Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
arXiv (Cornell University)(2023)
摘要
Recent discoveries have highlighted the significance of replica wormholes in
resolving the information paradox and establishing the unitarity of black hole
evaporation. In this letter, we propose the dissipative Sachdev-Ye-Kitaev model
(SYK) as a minimal quantum model that exhibits entanglement dynamics with
features qualitatively similar to replica wormholes. As a demonstration, we
investigate the entanglement growth of a pair of dissipative SYK models
initialized in a thermofield double state (TFD). In the regime of large N
with weak dissipation, we observe a first-order entanglement transition
characterized by a switch of the dominant saddle point: from replica diagonal
solutions for short times to replica wormhole-like off-diagonal solutions for
long times. Furthermore, we show that signature of replica wormholes persists
even at moderate N ≲ 30 by using the Monte Carlo quantum trajectory
method. Our work paves the way for explorations of replica wormhole physics in
quantum simulators.
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关键词
replica wormhole,dissipative
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