The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
Open accessAbstract
We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian. These classes cover systems, such as the Kapitza pendulum, the Harper–Hofstadter model of neutral atoms in a magnetic field, the Haldane Floquet Chern insulator and others. In all setups considered, we discuss both the infinite-frequency limit and the leading finite-frequency corrections to the Floquet Hamiltonian. We provide a short overview of Floquet theory focusing on the gauge structure associated with the choice of stroboscopic frame and the differences between stroboscopic and non-stroboscopic dynamics. In the latter case, one has to work with dressed operators representing observables and a dressed density matrix. We also comment on the application of Floquet Theory to systems described by static Hamiltonians with well-separated energy scales and, in particular, discuss parallels between the inverse-frequency expansion and the Schrieffer–Wolff transformation extending the latter to driven systems.
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Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
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Blatt, R., & Roos, C. F. (2012) · Nature Physics · doi:10.1038/nphys2252 · Cited by 1,629
Photovoltaic Hall effect in graphene
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Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
Tarruell, L., Greif, D., Uehlinger, T., Jotzu, G., & Esslinger, T. (2012) · Nature · doi:10.1038/nature10871 · Cited by 972
Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices
Struck, J., Ölschläger, C., Le Targat, R., Soltan-Panahi, P., Eckardt, A., Lewenstein, M., Windpassinger, P., & Sengstock, K. (2011) · Science · doi:10.1126/science.1207239 · Cited by 669
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Experimental realization of the topological Haldane model with ultracold fermions
Jotzu, G., Messer, M., Desbuquois, R., Lebrat, M., Uehlinger, T., Greif, D., & Esslinger, T. (2014) · Nature · doi:10.1038/nature13915 · Cited by 2,017
Colloquium: Atomic quantum gases in periodically driven optical lattices
Eckardt, A. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.011004 · Cited by 1,207
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
Metadata
- Authors
- Bukov, M., D'Alessio, L., & Polkovnikov, A.
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 2015-03-04
- Volume
- 64
- Issue
- 2
- Pages
- 139-226
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W1957416724
- Cited by
- 1,293
- References
- 7
- FWCI
- 47.04
- Type
- journal article
- Language
- en
- Open access
- green
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- Bukov, M., D'Alessio, L., & Polkovnikov, A. (2015). Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering. Advances in Physics. https://doi.org/10.1080/00018732.2015.1055918
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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