Eigenstate randomization hypothesis: Why does the long-time average equal the microcanonical average?

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Eigenstate randomization hypothesis: why does the long-time average equal the microcanonical average?

We derive an upper bound on the difference between the long-time average and the microcanonical ensemble average of observables in isolated quantum systems. We propose, numerically verify, and analytically support a new hypothesis, the eigenstate randomization hypothesis (ERH), which implies that in the energy eigenbasis the diagonal elements of observables fluctuate randomly. We show that ERH ...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2011

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.84.021130