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

Grazia Salerno, Tomoki Ozawa, Hannah M. Price, and Iacopo Carusotto
Phys. Rev. B 93, 085105 – Published 3 February 2016

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.

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  • Received 20 October 2015

DOI:https://doi.org/10.1103/PhysRevB.93.085105

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Grazia Salerno*, Tomoki Ozawa, Hannah M. Price, and Iacopo Carusotto

  • INO-CNR BEC Center and Department of Physics, University of Trento-via Sommarive 14 38123 Povo, Italy

  • *grazia.salerno@unitn.it

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Issue

Vol. 93, Iss. 8 — 15 February 2016

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