Half-Integer Quantized Topological Response in Quasiperiodically Driven Quantum Systems
Abstract
A spin strongly driven by two harmonic incommensurate drives can pump energy from one drive to the other at a quantized average rate, in close analogy with the quantum Hall effect. The pumping rate is a nonzero integer in the topological regime, while the trivial regime does not pump. The dynamical transition between the regimes is sharp in the zero-frequency limit and is characterized by a Dirac point in a synthetic band structure. We show that the pumping rate is half-integer quantized at the transition and present universal Kibble-Zurek scaling functions for energy transfer processes. Finally, our results adapt ideas from quantum phase transitions, quantum information, and topological band theory to nonequilibrium dynamics, and identify qubit experiments to observe the universal linear and nonlinear response of a Dirac point in synthetic dimensions.
- Authors:
-
[1];
- Boston Univ., MA (United States)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); Alfred P. Sloan Foundation
- OSTI Identifier:
- 1671821
- Grant/Contract Number:
- AC02-06CH11357; DMR-1752759; PHY-1607611
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 10; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; dynamical phase transitions; geometric & topological phases; quantum criticality; quantum phase transitions; topological phases of matter; floquet systems; critical phenomena; topology
Citation Formats
Crowley, P. J. D., Martin, I., and Chandran, A. Half-Integer Quantized Topological Response in Quasiperiodically Driven Quantum Systems. United States: N. p., 2020.
Web. doi:10.1103/physrevlett.125.100601.
Crowley, P. J. D., Martin, I., & Chandran, A. Half-Integer Quantized Topological Response in Quasiperiodically Driven Quantum Systems. United States. https://doi.org/10.1103/physrevlett.125.100601
Crowley, P. J. D., Martin, I., and Chandran, A. Mon .
"Half-Integer Quantized Topological Response in Quasiperiodically Driven Quantum Systems". United States. https://doi.org/10.1103/physrevlett.125.100601. https://www.osti.gov/servlets/purl/1671821.
@article{osti_1671821,
title = {Half-Integer Quantized Topological Response in Quasiperiodically Driven Quantum Systems},
author = {Crowley, P. J. D. and Martin, I. and Chandran, A.},
abstractNote = {A spin strongly driven by two harmonic incommensurate drives can pump energy from one drive to the other at a quantized average rate, in close analogy with the quantum Hall effect. The pumping rate is a nonzero integer in the topological regime, while the trivial regime does not pump. The dynamical transition between the regimes is sharp in the zero-frequency limit and is characterized by a Dirac point in a synthetic band structure. We show that the pumping rate is half-integer quantized at the transition and present universal Kibble-Zurek scaling functions for energy transfer processes. Finally, our results adapt ideas from quantum phase transitions, quantum information, and topological band theory to nonequilibrium dynamics, and identify qubit experiments to observe the universal linear and nonlinear response of a Dirac point in synthetic dimensions.},
doi = {10.1103/physrevlett.125.100601},
journal = {Physical Review Letters},
number = 10,
volume = 125,
place = {United States},
year = {Mon Aug 31 00:00:00 EDT 2020},
month = {Mon Aug 31 00:00:00 EDT 2020}
}
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