Resource and stability near a critical point from the quantum information perspective

TL;DR

This paper investigates how chemical potential and temperature influence holographic subregion complexity in a non-conformal quantum field theory near a critical point, revealing insights into stability and computational resources.

Contribution

It introduces a new interpretation of subregion complexity as a measure of stability and resourcefulness near critical points in non-conformal theories.

Findings

Chemical potential increases subregion complexity

Temperature decreases subregion complexity

Identifies a point where complexity matches that of a zero-temperature conformal field theory

Abstract

In the presence of chemical potential and temperature, we holographically study subregion complexity in a non-conformal quantum field theory with a critical point. We propose a new interpretation according to which the states, needing (more) less information to be specified, characterize the (un) stable thermodynamical solutions. We observe the increasing and decreasing effects of chemical potential and temperature on holographic subregion complexity, respectively. These two opposite behaviors lead to a point where subregion complexity of the mixed state is the same as this value for a zero temperature conformal field theory. We also present a new description of the difference between the minimum and the maximum value (the value near the critical point) of holographic subregion complexity as a resource for doing computational work to prepare the state near the critical point from the state far from it. We also calculate the critical exponent.