Entanglement Thermodynamics

Understand

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.