Energy transfer in random-matrix ensembles of Floquet Hamiltonians
Abstract
We explore the statistical properties of energy transfer in ensembles of doubly driven random-matrix Floquet Hamiltonians based on universal symmetry arguments. The energy-pumping efficiency distribution P(E̅) is associated with the Hamiltonian parameter ensemble and the eigenvalue statistics of the Floquet operator. For specific Hamiltonian ensembles, P(E̅) undergoes a transition which cannot be associated with a symmetry breaking of the instantaneous Hamiltonian. The Floquet eigenvalue spacing distribution indicates the considered ensembles constitute generic nonintegrable Hamiltonian families. As a step towards Hamiltonian engineering, we develop a machine-learning classifier to understand the relative parameter importance in resulting high-conversion efficiency. We propose random Floquet Hamiltonians as a general framework to investigate frequency conversion effects in a class of generic dynamical processes beyond adiabatic pumps.
Additional Information
An article within the collection: Emmanuel Rashba: Breaking New Ground in Solid-State Exploration
Acknowledgement
We thank A. Chandran and M. Kolodrubetz for useful discussions. C.P. has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 839004. We are also grateful to the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award No. de-sc0019166. G.R. is also grateful to the NSF DMR Grant No. 1839271, as well as ARO MURI Grant No. FA9550-22-1-0339 supported G.R.'s time commitment to the project in equal shares. NSF provided partial support to C.P. This work was performed in part at Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. G.R. is also grateful for support from the Simons Foundation and the Packard Foundation.
Copyright and License
©2023 American Physical Society
Attached Files
Published article: PhysRevB.108.064301.pdf
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PhysRevB.108.064301.pdf
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Additional details
Identifiers
- ISSN
- 2469-9969
Related works
- Is part of
- Publication: https://journals.aps.org/prb/collections/emmanuel-rashba (URL)
Funding
- European Commission
- 839004
- United States Department of Energy
- de-sc0019166
- Office of Science
- National Science Foundation
- 1839271
- National Science Foundation
- PHY-1607611
- Simons Foundation
- David and Lucile Packard Foundation
Dates
- Available
-
2023-08-01Published Online
- Accepted
-
2023-07-07Accepted