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.


Volume: 93 (8)      Pages from: 085105-1  to: 085105-14

DOI: 10.1103/PhysRevB.93.085105

Citations: 44
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