Relation between timelike and spacelike entanglement entropy

2024/02/01 by Guo, Wu-zhong, He, Song, Zhang, Yu-Xuan · 6 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2402.00268

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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