Relation between timelike and spacelike entanglement entropy
- URL: http://arxiv.org/abs/2402.00268v1
- Date: Thu, 1 Feb 2024 01:40:03 GMT
- Title: Relation between timelike and spacelike entanglement entropy
- Authors: Wu-zhong Guo, Song He, Yu-Xuan Zhang
- Abstract summary: We establish a connection between timelike and spacelike entanglement entropy.
For a diverse range of states, the timelike entanglement entropy is uniquely determined by a linear combination of the spacelike entanglement entropy and its first-order temporal derivative.
- Score: 7.694970944345054
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: In this study, we establish a connection between timelike and spacelike
entanglement entropy. Specifically, for a diverse range of states, the timelike
entanglement entropy is uniquely determined by a linear combination of the
spacelike entanglement entropy and its first-order temporal derivative. This
framework reveals that the imaginary component of the timelike entanglement
entropy primarily originates from the non-commutativity between the twist
operator and its first-order temporal derivative. Furthermore, we analyze the
constraints of this relation and highlight the possible extension to
accommodate more complex state configurations.
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