Notes on time entanglement and pseudo-entropy

Following arXiv:2210.12963 [hep-th], we investigate aspects of the time evolution operator regarded as a density operator and associated entanglement-like structures in various quantum systems. These involve timelike separations and generically lead to complex-valued entropy, although there are inte...

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Bibliographic Details
Published in:arXiv.org 2023-08
Main Authors: Narayan, K, Saini, Hitesh K
Format: Article
Language:English
Subjects:
Entropy
Evolution
Online Access:Get full text
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Summary:Following arXiv:2210.12963 [hep-th], we investigate aspects of the time evolution operator regarded as a density operator and associated entanglement-like structures in various quantum systems. These involve timelike separations and generically lead to complex-valued entropy, although there are interesting real subfamilies. There are many parallels and close relations with reduced transition matrices and pseudo-entropy, which we discuss and clarify. For instance, a related quantity involves the time evolution operator along with a projection onto some initial state, which amounts to analysing pseudo-entropy for the initial state and its time-evolved final state.
ISSN:2331-8422