Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains

• URL: http://arxiv.org/abs/2409.14442v1
• Date: Sun, 22 Sep 2024 13:41:38 GMT
• Title: Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
• Authors: Angelo Valli, Cătălin Paşcu Moca, Miklós Antal Werner, Márton Kormos, Žiga Krajnik, Tomaž Prosen, Gergely Zaránd,
• Abstract summary: We propose a numerical method to efficiently compute quantum generating functions (QGF) We obtain high-accuracy estimates for the cumulants and reconstruct full counting statistics from the QGF. Our results challenge the conjecture of the Kardar--Parisi--Zhang for isotropic integrable quantum spin chains.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a numerical method to efficiently compute quantum generating functions (QGF) for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and reconstruct full counting statistics from the QGF. We demonstrate its potential on spin $S=1/2$ anisotropic Heisenberg chain, where we can reach time scales hitherto inaccessible to state-of-the-art classical and quantum simulations. Our results challenge the conjecture of the Kardar--Parisi--Zhang universality for isotropic integrable quantum spin chains.

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