Probing many-body quantum chaos with quantum simulators
- URL: http://arxiv.org/abs/2106.15530v2
- Date: Fri, 4 Feb 2022 11:16:56 GMT
- Title: Probing many-body quantum chaos with quantum simulators
- Authors: Lata Kh Joshi, Andreas Elben, Amit Vikram, Beno\^it Vermersch, Victor
Galitski, and Peter Zoller
- Abstract summary: spectral form factors (SFF) and partial spectral form factors (PSFFs) provide insights into energy eigenstate statistics of many-body systems.
We propose a protocol that allows the measurement of the SFF and PSFFs in quantum many-body spin models.
Our scheme employs statistical correlations of local random operations which are applied at different times in a single experiment.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The spectral form factor (SFF), characterizing statistics of energy
eigenvalues, is a key diagnostic of many-body quantum chaos. In addition,
partial spectral form factors (PSFFs) can be defined which refer to subsystems
of the many-body system. They provide unique insights into energy eigenstate
statistics of many-body systems, as we show in an analysis on the basis of
random matrix theory and of the eigenstate thermalization hypothesis. We
propose a protocol that allows the measurement of the SFF and PSFFs in quantum
many-body spin models, within the framework of randomized measurements. Aimed
to probe dynamical properties of quantum many-body systems, our scheme employs
statistical correlations of local random operations which are applied at
different times in a single experiment. Our protocol provides a unified testbed
to probe many-body quantum chaotic behavior, thermalization and many-body
localization in closed quantum systems which we illustrate with numerical
simulations for Hamiltonian and Floquet many-body spin-systems.
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