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- W3118522041 abstract "We study the spectral statistics of quantum systems with finite Hilbert spaces. We derive a theorem showing that eigenlevels in such systems cannot be globally uncorrelated, even in the case of fully integrable dynamics, as a consequence of the unfolding procedure. We provide an analytic expression for the power spectrum of the ${ensuremath{delta}}_{n}$ statistic for a model of intermediate statistics with level repulsion but independent spacings, and we show both numerically and analytically that the result is spoiled by the unfolding procedure. Then, we provide a simple model to account for this phenomenon, and test it by means of numerics on the disordered $XXZ$ chain, the paradigmatic model of many-body localization, and the rational Gaudin-Richardson model, a prototypical model for quantum integrability." @default.
- W3118522041 created "2021-01-18" @default.
- W3118522041 creator A5044438920 @default.
- W3118522041 creator A5060359317 @default.
- W3118522041 date "2021-01-11" @default.
- W3118522041 modified "2023-10-17" @default.
- W3118522041 title "Long-range level correlations in quantum systems with finite Hilbert space dimension" @default.
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- W3118522041 doi "https://doi.org/10.1103/physreve.103.012208" @default.
- W3118522041 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33601518" @default.
- W3118522041 hasPublicationYear "2021" @default.
- W3118522041 type Work @default.
- W3118522041 sameAs 3118522041 @default.