ERC Advanced Grant · 2022
Quantum Ergodicity: Stability and Transitions
We shall develop methods and models for analyzing quantum ergodicity in many-body systems, proving its stability against small perturbations, and studying ergodicity-breaking transitions due to integrability, disorder, or localized impurities. Ergodicity is a cornerstone of statistical mechanics and a key manifestation of many-body quantum chaos, while manipulating ergodicity and engineering ergodicity-breaking transitions will have immense applications (cf.scarred states in Rydberg arrays, heating transitions in Floquet systems, time crystalline phases of matter). PI proposed groundbreaking methods for establishing quantum ergodicity by rigorous analysis of spectral statistics, correlation…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.