Journal
PHYSICAL REVIEW LETTERS
Volume 122, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.122.253601
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Funding
- National Science Foundation CAREER [DMR-1350663]
- US-Israel Binational Science Foundation [2014245]
- Deutsche Forschungsgemeinschaft [FOR 2414, 277974659]
- College of Arts and Sciences at Indiana University
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The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the Chern numbers of the quasienergy bands, but rather by a set of winding numbers associated with the gaps. We propose a feasible scheme for measuring these winding numbers in a periodically driven optical lattice efficiently and directly. It is based on the construction of a one-parameter family of drives, continuously connecting the Floquet system of interest to a trivial reference system. The winding numbers are then determined by the identification and the tomography of the band-touching singularities occurring on the way. As a by-product, we also propose a method for probing spectral properties of time evolution operators via a time analog of crystallography.
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