Spectral statistics of a minimal quantum glass model
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 07, 2023
- Source ID
- 10.21468/scipostphys.15.3.084
Entities
People
- Brian Swingle
- Christopher L. Baldwin
- Michael Winer
- Richard Barney
- Victor Galitski
Organizations
- Air Force Office of Scientific Research
- Army Research Office
- Brandeis University
- Defense Advanced Research Projects Agency
- Flatiron Institute
- Joint Quantum Institute
- National Science Foundation
- Office of Advanced Scientific Computing Research
- Office of Science
- Simons Foundation
- United States Department of Energy