Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4299
Title: | Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and out-of-time-ordered correlator. |
Authors: | Torres-Herrera, E.J. Garcia-Garcia, Antonio M. Santos, Lea F. 0000-0001-9400-2709 |
Keywords: | quenched interacting quantum systems survival probability density imbalance out-of-time-order correlation function (OTOC) |
Issue Date: | 23-Feb-2018 |
Publisher: | American Physical Society |
Citation: | Torres, Herrera, E.J., Garcia-Barcia, A.M., and Santos, L.F. (2018). Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and out-of-time-ordered correlator. |
Series/Report no.: | Physical Review B;97 |
Abstract: | 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 |
URI: | http://dx.doi.org/10.1103/PhysRevB.97.060303 https://hdl.handle.net/20.500.12202/4299 |
ISSN: | 2469-9950 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos PubVersOK GenericDyanmical 2018 PhysRevB.97.060303.pdf | Publisher's version with permission | 570.97 kB | Adobe PDF | View/Open |
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