Numerical Disorder Averaging Sample Clauses

Numerical Disorder Averaging. 3.A. Numerical Disorder Averaging ∈ { · · · } Disorder averaging of observables O(t) in an SYK system was computed by nu- merically evaluating their evolution R-times (Oi(t), i 1, 2, R ), for R SYK Hamiltonians drawn from the same distribution, and then computing the average at each time point: 1 Σ( ) = ( ) (3.20) R O t Oi t R i Below, we present descriptive plots of the energy Fig.3.11 (top row) and entropy (bottom row) of system A where one can see 30 different realizations (gray) of the respective observable and the disorder averaged analog (blue) obtained from by disorder averaging over R = 100 realizations. -1.0 0.2 -1.5 0.0 -0.2 -2.0 -2.5 -3.0 0 20 40 60 80 -0.4 -0.6 -0.8 -1.0 -1.2 0 20 40 60 80
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