Entanglement Thermodynamics

TL;DR

This paper explores the relationship between entanglement entropy and energy in excited states using holographic methods, proposing a thermodynamics-like framework for entanglement.

Contribution

It introduces a set of four laws of entanglement thermodynamics based on holographic entanglement entropy calculations.

Findings

Derived an equation analogous to the first law of thermodynamics for entanglement entropy.

Proposed four foundational laws of entanglement thermodynamics.

Established a connection between entanglement entropy and energy in excited states.

Abstract

We study entanglement entropy for an excited state by making use of the proposed holographic description of the entanglement entropy. For a sufficiently small entangling region and with reasonable identifications we find an equation between entanglement entropy and energy which is reminiscent of the first law of thermodynamics. We then suggest four statements which might be thought of as four laws of entanglement thermodynamics.