Entanglement properties of Floquet-Chern insulators

Yates, Daniel J.; Lemonik, Yonah; Mitra, Aditi

doi:10.1103/physrevb.94.205422

Entanglement properties of Floquet-Chern insulators

Journal Article · Wed Nov 16 00:00:00 EST 2016 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.94.205422· OSTI ID:1535801

Yates, Daniel J. ^[1]; Lemonik, Yonah ^[2]; Mitra, Aditi ^[2]

New York Univ. (NYU), NY (United States); DOE/OSTI
New York Univ. (NYU), NY (United States)

Results are presented for the entanglement entropy and spectrum of half-filled graphene following the switch on of a circularly polarized laser. The laser parameters are chosen to correspond to several different Floquet-Chern insulator phases. The entanglement properties of the unitarily evolved wave functions are compared with the state where one of the Floquet bands is completely occupied. The true states show a volume law for the entanglement, whereas the Floquet states show an area law. Qualitative differences are found in the entanglement properties of the off-resonant and on-resonant laser. Edge states are found in the entanglement spectrum corresponding to certain physical edge states expected in a Chern insulator. However, some edge states that would be expected from the Floquet band structure are missing from the entanglement spectrum. An analytic theory is developed for the long-time structure of the entanglement spectrum. Finally, it is argued that only edge states corresponding to off-resonant processes appear in the entanglement spectrum.

View Accepted Manuscript (DOE)

Research Organization:: New York Univ. (NYU), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0010821

OSTI ID:: 1535801

Alternate ID(s):: OSTI ID: 1332387

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 20 Vol. 94; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (3)

Topological marker currents in Chern insulators Caio, M. D.; Möller, G.; Cooper, N. R. Nature Physics, Vol. 15, Issue 3 https://doi.org/10.1038/s41567-018-0390-7	journal	January 2019
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Topological Entanglement-Spectrum Crossing in Quench Dynamics Gong, Zongping; Ueda, Masahito arXiv https://doi.org/10.48550/arxiv.1710.05289	text	January 2017

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