Mixed state information theoretic measures in boosted black brane

TL;DR

This paper investigates how boost parameters affect various mixed state information measures in black brane geometries, revealing their relations to boundary energy and pressure, and exploring their behavior in the AdS wave limit.

Contribution

It introduces calculations of multiple mixed state information quantities in boosted black branes and their relation to boundary field theory properties, including the AdS wave limit.

Findings

Boost parameter influences information theoretic quantities.

Asymmetry ratios are independent of subsystem size.

Quantities in AdS wave geometry are also computed.

Abstract

In this paper, we study various mixed state information theoretic quantities for a boosted black brane geometry. We have considered two setups, namely, a strip-like subsystem taken parallel and perpendicular to the direction of the boost. The quantities we calculate are the entanglement wedge cross-section, mutual information, entanglement negativity, and purification complexity. In the subsequent analysis, we have incorporated the thin-strip approximation and computed the leading order change (over pure AdS) in the concerned information theoretic quantities due to the boost parameter. We also show the relation of these quantities computed holographically to the energy and pressure of the boundary field theory. We then proceed to calculate the asymmetry ratios of these quantities, and observe that they are independent of the subsystem size. Finally, we proceed to study an interesting limit of the boosted black brane geometry, which is the so called AdS wave geometry. We once again compute all the mixed state information theoretic quantities for this geometry.