2024
DOI: 10.1103/physrevx.14.041051
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Maximum Entropy Principle in Deep Thermalization and in Hilbert-Space Ergodicity

Daniel K. Mark,
Federica Surace,
Andreas Elben
et al.

Abstract: We report universal statistical properties displayed by ensembles of pure states that naturally emerge in quantum many-body systems. Specifically, two classes of state ensembles are considered: those formed by (i) the temporal trajectory of a quantum state under unitary evolution or (ii) the quantum states of small subsystems obtained by partial, local projective measurements performed on their complements. These cases, respectively, exemplify the phenomena of “Hilbert-space ergodicity” and “deep thermalizatio… Show more

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