The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Periodically driven ergodic and many-body localized quantum systems
Open accessAbstract
We study dynamics of isolated quantum many-body systems whose Hamiltonian is switched between two different operators periodically in time. The eigenvalue problem of the associated Floquet operator maps onto an effective hopping problem. Using the effective model, we establish conditions on the spectral properties of the two Hamiltonians for the system to localize in energy space. We find that ergodic systems always delocalize in energy space and heat up to infinite temperature, for both local and global driving. In contrast, many-body localized systems with quenched disorder remain localized at finite energy. We support our conclusions by numerical simulations of disordered spin chains. We argue that our results hold for general driving protocols, and discuss their experimental implications.
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Cites
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Floquet Engineering of Quantum Materials
Oka, T., & Kitamura, S. (2019) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013423 · Cited by 999
Programmable Quantum Simulations of Spin Systems with Trapped Ions
Monroe, C., Campbell, W. C., Duan, L. M., Gong, Z. X., Gorshkov, A. V., Hess, P., Islam, R., Kim, K., Linke, N., Pagano, G., et al. (2019) · arXiv · doi:10.48550/arxiv.1912.07845 · Cited by 806
Programmable quantum simulations of spin systems with trapped ions
Monroe, C., Campbell, W. C., Duan, L.-M., Gong, Z.-X., Gorshkov, A. V., Hess, P. W., Islam, R., Kim, K., Linke, N. M., Pagano, G., et al. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025001 · Cited by 802
Discrete Time Crystals: Rigidity, Criticality, and Realizations
Yao, N. Y., Potter, A. C., Potirniche, I.-D., & Vishwanath, A. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.030401 · Cited by 586
Exponentially Slow Heating in Periodically Driven Many-Body Systems
Abanin, D. A., De Roeck, W., & Huveneers, F. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.256803 · Cited by 428
Self-citation
Metadata
- Authors
- Ponte, P., Chandran, A., Papić, Z., & Abanin, D. A.
- Venue
- Annals of Physics
- Publisher
- Elsevier BV
- Published
- 2015-02
- Volume
- 353
- Pages
- 196-204
- ISSN
- 0003-4916 (ISSN-L)
- OpenAlex
- W2045496437
- Cited by
- 342
- References
- 29
- FWCI
- 16.47
- Type
- journal article
- Language
- en
- Open access
- bronze
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