Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and out-of-time-ordered correlator.
Date
2018-02-23Author
Torres-Herrera, E.J.
Garcia-Garcia, Antonio M.
Santos, Lea F.
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We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using
full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of
the survival probability, density imbalance, and out-of-time-ordered correlator. They are compared with numerical
results for a one-dimensional-disordered model with two-body interactions and shown to bound the decay rate of
this realistic system. Power-law decays are seen at intermediate times, and dips below the infinite time averages
(correlation holes) occur at long times for all three quantities when the system exhibits level repulsion. The fact
that these features are shared by both the random matrix and the realistic disordered model indicates that they
are generic to nonintegrable interacting quantum systems out of equilibrium. Assisted by the random matrix
analytical results, we propose expressions that describe extremely well the dynamics of the realistic chaotic
system at different time scales
Permanent Link(s)
http://dx.doi.org/10.1103/PhysRevB.97.060303https://hdl.handle.net/20.500.12202/4299
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