Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
arXiv:2409.14442 · doi:10.1103/f3c4-n21z
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 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.
arXiv comment7 pages, 3 figures plus Supporting Information
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