Topological Frequency Conversion in Strongly Driven Quantum Systems
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1399642
- Alternate Identifier(s):
- OSTI ID: 1400405
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Martin, Ivar, Refael, Gil, and Halperin, Bertrand. Topological Frequency Conversion in Strongly Driven Quantum Systems. United States: N. p., 2017.
Web. doi:10.1103/PhysRevX.7.041008.
Martin, Ivar, Refael, Gil, & Halperin, Bertrand. Topological Frequency Conversion in Strongly Driven Quantum Systems. United States. https://doi.org/10.1103/PhysRevX.7.041008
Martin, Ivar, Refael, Gil, and Halperin, Bertrand. Mon .
"Topological Frequency Conversion in Strongly Driven Quantum Systems". United States. https://doi.org/10.1103/PhysRevX.7.041008.
@article{osti_1399642,
title = {Topological Frequency Conversion in Strongly Driven Quantum Systems},
author = {Martin, Ivar and Refael, Gil and Halperin, Bertrand},
abstractNote = {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.},
doi = {10.1103/PhysRevX.7.041008},
journal = {Physical Review. X},
number = 4,
volume = 7,
place = {United States},
year = {2017},
month = {10}
}
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