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Published on: June 8, 2018
Efficient Computation of Cumulant Evolution and Full Counting Statistics: Application to Infinite Temperature Quantum
Angelo Valli1,2,3, Cătălin Paşcu Moca2,4, Miklós Antal Werner1,5
1Budapest University of Technology and Economics, Department of Theoretical Physics, Institute of Physics, Műegyetem rkp. 3., H-1111 Budapest, Hungary.
None:
We propose a numerical method to efficiently compute quantum generating functions 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 quantum generating functions. We demonstrate its potential on spin S=1/2 anisotropic Heisenberg chain, where we can reach timescales 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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