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Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals

Baum, Yuval and Refael, Gil (2018) Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals. Physical Review Letters, 120 (10). Art. No. 106402. ISSN 0031-9007. doi:10.1103/PhysRevLett.120.106402.

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When a d-dimensional quantum system is subjected to a periodic drive, it may be treated as a (d+1)-dimensional system, where the extra dimension is a synthetic one. This approach, however, affords only a limited level of control of the effective potential along the synthetic direction. In this work, we introduce a new mean for controlling the Floquet synthetic dimension. We show that arbitrary potentials, as well as edges in the synthetic dimension, could be introduced using a memory component in the system’s dynamics. We demonstrate this principle by exploring topological edge states propagating normal to synthetic dimensions. Such systems may act as an optical isolator which allows the transmission of light in a directional way. Also, we suggest an experimental realization of the memory effect in spins coupled to nanofabricated Weyl semimetal surface states.

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Additional Information:© 2018 American Physical Society. Received 11 September 2017; published 8 March 2018. G. R. is grateful to the National Science Foundation (NSF) for funding through Grant No. DMR-1040435 and the Packard Foundation as well as the Aspen Center for Physics, funded by NSF Grant No. PHY-1607611, where part of the work was done. G. R. and Y. B. are grateful for support through the Institute for Quantum Information and Matter (IQIM), a NSF physics frontier center funded in part by the Moore Foundation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
David and Lucile Packard FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20171004-143507726
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82074
Deposited By: Joy Painter
Deposited On:05 Oct 2017 17:02
Last Modified:15 Nov 2021 19:48

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