Topological Frequency Conversion in Strongly Driven Quantum Systems

Martin, Ivar; Refael, Gil; Halperin, Bertrand

doi:10.1103/PhysRevX.7.041008

Title: Topological Frequency Conversion in Strongly Driven Quantum Systems

Journal Article · Mon Oct 16 00:00:00 EDT 2017 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.7.041008· OSTI ID:1399642

Martin, Ivar; Refael, Gil; Halperin, Bertrand

When a physical system is subjected to a strong external multi-frequency drive, its dynamics can be conveniently represented in the multi-dimensional Floquet lattice. The number of the Floquet lattice dimensions equals the number of irrationally-related drive frequencies, and the evolution occurs in response to a built-in effective \electric" field, whose components are proportional to the corresponding drive frequencies. The mapping allows to engineer and study temporal analogs of many real-space phenomena. Here we focus on the specifc example of a two-level system under two-frequency drive that induces topologically nontrivial band structure in the 2D Floquet space. The observable consequence of such construction is quantized pumping of energy between the sources with frequencies w₁ and w₂. Finally, when the system is initialized into a Floquet band with the Chern number C, the pumping occurs at the rate P₁₂ = –P₂₁ = (C/2π)hw₁w₂, an exact counterpart of the transverse current in a conventional topological insulator.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1399642

Alternate ID(s):: OSTI ID: 1400405

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Vol. 7 Journal Issue: 4; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 105 works

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