Geometric quench and nonequilibrium dynamics of fractional quantum Hall states

Liu, Zhao; Gromov, Andrey; Papić, Zlatko

doi:10.1103/physrevb.98.155140

Title: Geometric quench and nonequilibrium dynamics of fractional quantum Hall states

Journal Article · Thu Oct 25 00:00:00 EDT 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.98.155140· OSTI ID:1656471

Liu, Zhao ^[1]; Gromov, Andrey ^[2]; Papić, Zlatko ^[3]

Zhejiang Univ., Hangzhou (China); Freie Univ. Berlin (Germany). Dahlem Center for Complex Quantum Systems
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
Univ. of Leeds, Leeds (United Kingdom)

In this work, we introduce a quench of the geometry of Landau level orbitals as a probe of nonequilibrium dynamics of fractional quantum Hall (FQH) states. We show that such geometric quenches induce coherent many-body dynamics of neutral degrees of freedom of FQH fluids. The simplest case of mass anisotropy quench can be experimentally implemented as a sudden tilt of the magnetic field, and the resulting dynamics reduces to the harmonic motion of the spin-2 "graviton" mode, i.e., the long-wavelength limit of the Girvin-MacDonald-Platzman magnetoroton. We derive an analytical description of the graviton dynamics using the bimetric theory of FQH states and find agreement with exact numerical simulations at short times. Furthermore, we show that certain types of geometric quenches excite higher-spin collective modes, thus establishing their existence in a microscopic model and motivating an extension of geometric theories of FQH states.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Engineering and Physical Sciences Research Council (EPSRC); National Science Foundation (NSF)

Grant/Contract Number:: AC02-05CH11231; SC0002140; DMR-1206648; DMR-1420709; EP/P009409/1; EP/R020612/1

OSTI ID:: 1656471

Alternate ID(s):: OSTI ID: 1479143

Journal Information:: Physical Review. B, Vol. 98, Issue 15; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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Viscoelastic response of quantum Hall fluids in a tilted field Offertaler, Bendeguz; Bradlyn, Barry Physical Review B, Vol. 99, Issue 3 https://doi.org/10.1103/physrevb.99.035427	journal	January 2019
Viscoelastic response of quantum Hall fluids in a tilted field Offertaler, Bendeguz; Bradlyn, Barry arXiv https://doi.org/10.48550/arxiv.1811.08443	text	January 2018
Chiral Gravitons in Fractional Quantum Hall Liquids Liou, Shiuan-Fan; Haldane, F. D. M.; Yang, Kun arXiv https://doi.org/10.48550/arxiv.1904.12231	text	January 2019
Interaction-dependent anisotropy of fractional quantum Hall states Krishna, Akshay; Chen, Fan; Ippoliti, Matteo arXiv https://doi.org/10.48550/arxiv.1906.02835	text	January 2019

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