Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
Abstract
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 manybody 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 spin2 "graviton" mode, i.e., the longwavelength limit of the GirvinMacDonaldPlatzman 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. We show that certain types of geometric quenches excite higherspin collective modes, thus establishing their existence in a microscopic model and motivating an extension of geometric theories of FQH states.
 Publication:

Physical Review B
 Pub Date:
 October 2018
 DOI:
 10.1103/PhysRevB.98.155140
 arXiv:
 arXiv:1803.00030
 Bibcode:
 2018PhRvB..98o5140L
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Quantum Physics
 EPrint:
 18 pages, 14 figures, published version