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Quench Dynamics of Collective Modes in Fractional Quantum Hall Bilayers
Zhao Liu1, Ajit C Balram2, Zlatko Papić3
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China.
Physical Review Letters
|March 5, 2021
Summary
We used quenches to study nonequilibrium dynamics in bilayer fractional quantum Hall states. Different quenches activate distinct collective modes, including spin-1 dipole and spin-2 quadrupole modes, matching theoretical predictions.
Area of Science:
- Condensed matter physics
- Quantum Hall effect
- Many-body dynamics
Background:
- Bilayer fractional quantum Hall states exhibit complex collective modes.
- Understanding nonequilibrium dynamics is crucial for characterizing these states.
Purpose of the Study:
- To probe nonequilibrium dynamics of bilayer fractional quantum Hall states using different quench protocols.
- To investigate the excitation and properties of collective modes, specifically spin-1 dipole and spin-2 quadrupole modes.
Main Methods:
- Implementation of electric field quenches to induce spin-1 oscillations.
- Application of band mass anisotropy changes to excite spin-2 graviton and combined spin-1 modes.
- Construction of an effective field theory to model quench dynamics.
Main Results:
- Electric field quenches activate spin-1 dipole mode oscillations at the predicted frequency.
- Band mass anisotropy changes excite the spin-2 graviton and coupled spin-1 modes.
- The effective field theory accurately describes the dynamics of both spin-1 and spin-2 collective modes, showing excellent agreement with numerical simulations.
Conclusions:
- Quench protocols provide a powerful tool to selectively excite and study collective modes in bilayer fractional quantum Hall states.
- The developed effective field theory successfully captures the rich nonequilibrium dynamics of these complex quantum systems.
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