Notes on time entanglement and pseudo-entropy
Abstract
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.
Cite
@article{arxiv.2303.01307,
title = {Notes on time entanglement and pseudo-entropy},
author = {K. Narayan and Hitesh K. Saini},
journal= {arXiv preprint arXiv:2303.01307},
year = {2024}
}
Comments
Latex, 32pgs, v2: section on time-dependent potentials added, clarifications added, v3: minor clarifications added, version to be published