Entanglement Transition and Replica Wormhole in the Dissipative
Sachdev-Ye-Kitaev Model
- URL: http://arxiv.org/abs/2306.12571v1
- Date: Wed, 21 Jun 2023 21:15:24 GMT
- Title: Entanglement Transition and Replica Wormhole in the Dissipative
Sachdev-Ye-Kitaev Model
- Authors: Hanteng Wang, Chang Liu, Pengfei Zhang, Antonio M. Garc\'ia-Garc\'ia
- Abstract summary: Recent discoveries have highlighted the significance of replica wormholes in resolving the information paradox.
We propose the dissipative Sachdev-Ye-Kitaev model (SYK) as a minimal quantum model that exhibits entanglement dynamics.
We show that signature of replica wormholes persists even at moderate $N lesssim 30$ by using the Monte Carlo quantum trajectory method.
- Score: 7.050547368572957
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 $N \lesssim 30$ 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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