Floquet topological system based on frequency-modulated classical coupled harmonic oscillators

Year: 2016

Authors: Salerno G., Ozawa T., Price HM., Carusotto I.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, Via Sommarive 14 38123 Povo, Povo, Italy; Univ Trento, Dept Phys, Via Sommarive 14,38123 Povo, Povo, Italy.

Abstract: We theoretically propose how to observe topological effects in a generic classical system of coupled harmonic oscillators, such as classical pendula or lumped-element electric circuits, whose oscillation frequency is modulated fast in time. Making use of Floquet theory in the high-frequency limit, we identify a regime in which the system is accurately described by a Harper-Hofstadter model where the synthetic magnetic field can be externally tuned via the phase of the frequency modulation of the different oscillators. We illustrate how the topologically protected chiral edge states, as well as the Hofstadter butterfly of bulk bands, can be observed in the driven-dissipative steady state under a monochromatic drive. In analogy with the integer quantum Hall effect, we show how the topological Chern numbers of the bands can be extracted from the mean transverse shift of the steady-state oscillation amplitude distribution. Finally, we discuss the regime where the analogy with the Harper-Hofstadter model breaks down.

Journal/Review: PHYSICAL REVIEW B

Volume: 93 (8)      Pages from: 85105-1  to: 85105-14

More Information: We are grateful to N. Goldman, G. Ferrari, A. Berardo, and N. Pugno for valuable discussions. This work was supported by the ERC through the QGBE grant, by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the project SiQuro. H.M.P was also supported by the EC through the H2020 Marie Sklodowska-Curie Action, Individual Fellowship Grant No: 656093 SynOptic.
KeyWords: Edge States; Magnetic-fields; Realization; Photons; Model
DOI: 10.1103/PhysRevB.93.085105

ImpactFactor: 3.836
Citations: 46
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