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HTEE vs. Pseudo-Entropy in Magnetic Fields

M. Ali-Akbari

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.

HTEE vs. Pseudo-Entropy in Magnetic Fields

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.
Paper Structure (6 sections, 41 equations, 1 figure)

This paper contains 6 sections, 41 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Two-Qubit Toy Model
  3. Holographic Framework
  4. Results and Discussion
  5. Detailed Calculations
  6. Analytic Continuation

Figures (1)

  • Figure 1: The real and imaginary parts of $S_{A}$ and $S\equiv \frac{4G_N^{(5)}}{V_2} S$ are plotted as functions of the external magnetic field $B$ for $T=0.143$, with $C=35$. The cyan curve corresponds to $-iB = B_1 = -i B_2$, meaning that replacing $i \rightarrow -i$ leaves $S_{AR}$ unchanged.