A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography

Understand

The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration.

• Although it is expected to be hold in a wide class of highly chaotic theories, there are only a few analytic examples demonstrating the strong ETH in special cases, often through methods related to integrability.
• In this paper, we explore sufficient conditions for the strong ETH that may apply to a broad range of chaotic theories.
• These conditions are expressed as inequalities involving the long-time averages of real-time thermal correlators.