Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); Engineering and Physical Sciences Research Council (EPSRC); National Science Foundation (NSF)
- OSTI Identifier:
- 1656471
- Alternate Identifier(s):
- OSTI ID: 1479143
- Grant/Contract Number:
- AC02-05CH11231; SC0002140; DMR-1206648; DMR-1420709; EP/P009409/1; EP/R020612/1
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 15; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Fractional quantum Hall effect; geometric & topological phases; topological phases of matter; collective dynamics
Citation Formats
Liu, Zhao, Gromov, Andrey, and Papić, Zlatko. Geometric quench and nonequilibrium dynamics of fractional quantum Hall states. United States: N. p., 2018.
Web. doi:10.1103/physrevb.98.155140.
Liu, Zhao, Gromov, Andrey, & Papić, Zlatko. Geometric quench and nonequilibrium dynamics of fractional quantum Hall states. United States. https://doi.org/10.1103/physrevb.98.155140
Liu, Zhao, Gromov, Andrey, and Papić, Zlatko. Thu .
"Geometric quench and nonequilibrium dynamics of fractional quantum Hall states". United States. https://doi.org/10.1103/physrevb.98.155140. https://www.osti.gov/servlets/purl/1656471.
@article{osti_1656471,
title = {Geometric quench and nonequilibrium dynamics of fractional quantum Hall states},
author = {Liu, Zhao and Gromov, Andrey and Papić, Zlatko},
abstractNote = {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.},
doi = {10.1103/physrevb.98.155140},
journal = {Physical Review. B},
number = 15,
volume = 98,
place = {United States},
year = {Thu Oct 25 00:00:00 EDT 2018},
month = {Thu Oct 25 00:00:00 EDT 2018}
}
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