HTEE vs. Pseudo-Entropy in Magnetic Fields

TL;DR

This paper compares holographic timelike entanglement entropy and pseudo-entropy in a two-qubit system under magnetic fields, revealing significant differences in their behavior during thermal state transitions.

Contribution

It introduces a comparative analysis of holographic and quantum pseudo-entropy measures in a thermal magnetic system, highlighting their discrepancies.

Findings

Holographic and pseudo-entropy show markedly different behaviors.

Discrepancies are significant during thermal state transitions.

The study provides insights into the limitations of pseudo-entropy as a holographic proxy.

Abstract

We compare the holographic timelike entanglement entropy with the pseudo-entropy arising from a two-qubit quantum mechanical system. In this model, we consider transitions from an initial thermal state to a final thermal state at fixed temperature under the influence of an external magnetic field. Our findings highlight significant discrepancies between the two quantities, which display markedly different behavior.