Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals
ORAL
Abstract
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. In this work, we take these ideas to the next level by showing that non-uniform potentials, and particularly edges, in the synthetic dimension are created whenever the dynamics of system has a memory component. We demonstrate that topological states appear on the edges of these synthetic dimensions and can be used as a basis for a wave packet construction. Such systems may act as an optical isolator which allows transmission of light in a directional way. We supplement our ideas by an example of a physical system that shows this type of physics.
*GR is grateful to the the NSF for funding through the grant DMR-1040435, the Packard Foundation as well as the Aspen Center for Physics, funded by NSF grant PHY-1607611, where part of the work was done.
GR and YB are grateful for support through the IQIM, an NSF physics frontier center funded in pa
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Presenters
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Yuval Baum
- Caltech