Topological Frequency Conversion in Strongly Driven Quantum Systems [electronic resource].
- Washington, D.C. : United States. Dept. of Energy. Office of Basic Energy Sciences, 2017.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
- Physical Description:
- Article numbers 041,008 : digital, PDF file
- Additional Creators:
- Argonne National Laboratory
United States. Department of Energy. Office of Basic Energy Sciences
United States. Department of Energy. Office of Scientific and Technical Information
- 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 w<sub>1</sub> and w<sub>2</sub>. Finally, when the system is initialized into a Floquet band with the Chern number <i>C</i>, the pumping occurs at the rate <i>P</i><sub>12</sub> = –<i>P</i><sub>21</sub> = (<i>C</i>/2π)hw<sub>1</sub>w<sub>2</sub>, an exact counterpart of the transverse current in a conventional topological insulator.
- Published through SciTech Connect.
Physical Review. X 7 4 ISSN 2160-3308; PRXHAE AM
Ivar Martin; Gil Refael; Bertrand Halperin.
- Funding Information:
View MARC record | catkey: 23503099