Nonequilibrium localization and the interplay between disorder and interactions

Understand

We study the nonequilibrium interplay between disorder and interactions in a closed quantum system.

• We base our analysis on the notion of dynamical state-space localization, calculated via the Loschmidt echo.
• Although real-space and state-space localization are independent concepts in general, we show that both perspectives may be directly connected through a specific choice of initial states, namely, maximally localized states (ML-states).
• We show numerically that in the noninteracting case the average echo is found to be monotonically increasing with increasing disorder; these results are in agreement with an analytical evaluation in the single particle case in which the echo is found to be inversely proportional to the localization length.