Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
Tobias Gulden, Erez Berg, Mark S. Rudner, Netanel H. Lindner
SciPost Phys. 9, 015 (2020) · published 29 July 2020
- doi: 10.21468/SciPostPhys.9.1.015
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Abstract
We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady states which is exponentially large in the inverse driving frequency. Within this lifetime, the quasi-steady state is characterized by maximum entropy subject to the constraint of fixed number of particles in the system's Floquet-Bloch bands. In such a state, all the non-universal properties of these bands are washed out, hence only the topological properties persist.
Cited by 9
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Tobias Gulden,
- 3 Erez Berg,
- 4 5 Mark Spencer Rudner,
- 1 Netanel Lindner
- 1 הטכניון – מכון טכנולוגי לישראל / Technion – Israel Institute of Technology
- 2 Institute of Science and Technology Austria [IST]
- 3 Niels Bohr Institute [NBI]
- 4 Weizmann Institute of Science
- 5 University of Chicago [UC]
Funders for the research work leading to this publication
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- FP7 People: Marie-Curie Actions (FP7 People) (through Organization: European Commission [EC])
- FP7 Seventh Framework Programme (FP7) (through Organization: European Commission [EC])
- Horizon 2020 (through Organization: European Commission [EC])
- Israel Science Foundation [ISF]
- Villum Fonden / Velux Foundation