2024
DOI: 10.1103/physrevx.14.041059
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Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs

Saúl Pilatowsky-Cameo,
Iman Marvian,
Soonwon Choi
et al.

Abstract: Despite its long history, a canonical formulation of quantum ergodicity that applies to general classes of quantum dynamics, including driven systems, has not been fully established. Here we introduce and study a notion of quantum ergodicity for closed systems with time-dependent Hamiltonians, defined as statistical randomness exhibited in their longtime dynamics. Concretely, we consider the temporal ensemble of quantum states (time-evolution operators) generated by the evolution, and investigate the condition… Show more

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