Affiliation:
1. Joint Quantum Institute
2. Brandeis University
3. Flatiron Institute
Abstract
Glasses have the interesting feature of being neither integrable nor fully chaotic. They thermalize quickly within a subspace but thermalize much more slowly across the full space due to high free energy barriers which partition the configuration space into sectors. Past works have examined the Rosenzweig-Porter (RP) model as a minimal quantum model which transitions from localized to chaotic behavior. In this work we generalize the RP model in such a way that it becomes a minimal model which transitions from glassy to chaotic behavior, which we term the “Block Rosenzweig-Porter” (BRP) model. We calculate the spectral form factors of both models at all timescales larger than the inverse spectral width. Whereas the RP model exhibits a crossover from localized to ergodic behavior at the Thouless timescale, the new BRP model instead crosses over from glassy to fully chaotic behavior, as seen by a change in the steepness of the ramp of the spectral form factor.
Funder
Advanced Scientific Computing Research
Air Force Office of Scientific Research
Army Research Office
Defense Advanced Research Projects Agency
Joint Quantum Institute
National Science Foundation
Office of Science
Simons Foundation
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
8 articles.
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