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 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. 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.

18 pages, 14 figures, published version

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Cited by in corpus (37)

• Quantum Many-body Scars in a Landau Level on a Thin Torus
• Chiral Gravitons in Fractional Quantum Hall Liquids
• Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
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• Microscopic Model for Fractional Quantum Hall Nematics
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• Geometric description of the Kitaev honeycomb lattice model
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Higher-spin gauge theories in three spacetime dimensions
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• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Interaction-dependent anisotropy of fractional quantum Hall states
• Hamiltonian theory for Quantum Hall systems in a tilted magnetic field: robustness of activation gaps
• Extended Nappi-Witten Geometry for the Fractional Quantum Hall Effect
• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
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• Noncommutative Geometry and Deformation Quantization in the Quantum Hall Fluids with Inhomogeneous Magnetic Fields
• Very high-energy collective states of partons in fractional quantum Hall liquids
• Collective excitations of quantum Hall states under tilted magnetic field
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• Anisotropic quantum Hall states in the presence of interactions with fourfold rotational symmetry
• Anisotropy and quench dynamics of quasiholes in fractional quantum Hall liquids
• Chiral Gravitons on the Lattice
• Few-particle dynamics of fractional quantum Hall lattice models
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Spin of fractional quantum Hall neutral modes and "missing states" on a sphere
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Dynamical Geometry of the Haldane Model under a Quantum Quench
• Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics