Probes of Full Eigenstate Thermalization in Ergodicity-Breaking Quantum Circuits

Understand

The eigenstate thermalization hypothesis (ETH) is the leading interpretation in our current understanding of quantum thermalization.

• Recent results uncovered strong connections between quantum correlations in thermalizing systems and the structure of free probability theory, leading to the notion of full ETH.
• However, most studies have been performed for ergodic systems and it is still unclear whether or how full ETH manifests in ergodicity-breaking models.
• We fill this gap by studying standard probes of full ETH in ergodicity-breaking quantum circuits, presenting numerical and analytical results for interacting integrable systems.