Liu, Z, Gromov, A and Papić, Z orcid.org/0000-0002-8451-2235 (2018) Geometric quench and nonequilibrium dynamics of fractional quantum Hall states. Physical Review B, 98 (15). 155140. ISSN 2469-9950
Abstract
We introduce a quench of the geometry of Landau level orbitals as a probe of non-equilibrium 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 viewed 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 analytical description of the graviton dynamics using the bimetric theory of FQH states, and find agreement with exact numerical simulations at short times. 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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2018 American Physical Society. This is an author produced version of a paper published in Physical Letters B. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | cond-mat.str-el; cond-mat.str-el; quant-ph |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/P009409/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Oct 2018 12:53 |
Last Modified: | 03 Mar 2020 12:18 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevB.98.155140 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:136778 |