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Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths

Seetharam, Karthik I. and Bardyn, Charles-Edouard and Lindner, Netanel H. and Rudner, Mark S. and Refael, Gil (2015) Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths. Physical Review X, 5 (4). Art. No. 041050. ISSN 2160-3308. http://resolver.caltech.edu/CaltechAUTHORS:20160121-131612700

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Abstract

External driving is emerging as a promising tool for exploring new phases in quantum systems. The intrinsically nonequilibrium states that result, however, are challenging to describe and control. We study the steady states of a periodically driven one-dimensional electronic system, including the effects of radiative recombination, electron-phonon interactions, and the coupling to an external fermionic reservoir. Using a kinetic equation for the populations of the Floquet eigenstates, we show that the steady-state distribution can be controlled using the momentum and energy relaxation pathways provided by the coupling to phonon and Fermi reservoirs. In order to utilize the latter, we propose to couple the system and reservoir via an energy filter which suppresses photon-assisted tunneling. Importantly, coupling to these reservoirs yields a steady state resembling a band insulator in the Floquet basis. The system exhibits incompressible behavior, while hosting a small density of excitations. We discuss transport signatures and describe the regimes where insulating behavior is obtained. Our results give promise for realizing Floquet topological insulators.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevX.5.041050DOIArticle
http://journals.aps.org/prx/abstract/10.1103/PhysRevX.5.041050PublisherArticle
http://arxiv.org/abs/1502.02664arXivDiscussion Paper
Additional Information:© 2015 Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 26 February 2015; published 28 December 2015. The authors would like to thank A. İmamoğlu, C. Grenier, A. Srivastava, and L. I. Glazman for insightful discussions. Financial support from the Swiss National Science Foundation (SNSF) is gratefully acknowledged. M. S. R. acknowledges support from the Villum Foundation and from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA Grant Agreement No. PIIF-GA-2013-627838. N. H. L. acknowledges support from the Israel-U.S. Binational Science Foundation and I-Core, the Israeli Excellence Center “Circle of Light,” and the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA Grant Agreement No. 631696. G. R. and K. I. S. are grateful for support from the NSF through Grant No. DMR-1410435, as well as the Institute of Quantum Information and Matter, an NSF Frontier center funded by the Gordon and Betty Moore Foundation, and the Packard Foundation. K. I. S. is grateful for support from the NSF Graduate Research Fellowship Program.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)UNSPECIFIED
Villum FoundationUNSPECIFIED
European Union People Programme (Marie Curie) PIIF-GA-2013-627838
Binational Science Foundation (USA-Israel)UNSPECIFIED
I-CORE Program of the Planning and Budgeting CommitteeUNSPECIFIED
Israeli Excellence CenterUNSPECIFIED
European Union Seventh Framework Programme (FP7/2007-2013)631696
NSFDMR-1410435
Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
NSF Graduate Research FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20160121-131612700
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160121-131612700
Official Citation:Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths Karthik I. Seetharam, Charles-Edouard Bardyn, Netanel H. Lindner, Mark S. Rudner, and Gil Refael Phys. Rev. X 5, 041050 – Published 28 December 2015
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63842
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Jan 2016 21:35
Last Modified:21 Jan 2016 21:35

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