Geometric quench and nonequilibrium dynamics of fractional quantum Hall states

Liu, Zhao; Gromov, Andrey; Papić, Zlatko

doi:10.1103/physrevb.98.155140

Cited by 36 publications

(56 citation statements)

References 120 publications

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“…The dynamics is initiated in a state with a consecutive block of filled orbitals. Quench dynamics of interacting fermions in the LLL has been recently studied [143], with the quench changing the torus aspect ratio. This type of quench is sensitive to low-energy physics (such as magnetorotons), in contrast to our setup where the part of the many-body spectrum that is relevant is closer to the top of the spectrum than the bottom.…”

Section: Discussion and Contextmentioning

confidence: 99%

Dynamics and level statistics of interacting fermions in the lowest Landau level

et al. 2018

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We consider the unitary dynamics of interacting fermions in the lowest Landau level, on spherical and toroidal geometries. The dynamics are driven by the interaction Hamiltonian which, viewed in the basis of single-particle Landau orbitals, contains correlated pair hopping terms in addition to static repulsion. This setting and this type of Hamiltonian has a significant history in numerical studies of fractional quantum Hall (FQH) physics, but the many-body quantum dynamics generated by such correlated hopping has not been explored in detail. We focus on initial states containing all the fermions in one block of orbitals. We characterize in detail how the fermionic liquid spreads out starting from such a state. We identify and explain differences with regular (single-particle) hopping Hamiltonians. Such differences are seen, e.g.in the entanglement dynamics, in that some initial block states are frozen or near-frozen, and in density gradients persisting in long-time equilibrated states. Examining the level spacing statistics, we show that the most common Hamiltonians used in FQH physics are not integrable, and explain that GOE statistics (level statistics corresponding to the Gaussian orthogonal ensemble) can appear in many cases despite the lack of time-reversal symmetry.

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Section: Discussion and Contextmentioning

confidence: 99%

Dynamics and level statistics of interacting fermions in the lowest Landau level

et al. 2018

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“…A very promising candidate is the nematic phase with an intrinsic director order [13,14]. This state is suggested as the candidate after the collective mode is softened [45,46]. Our results signify that there may be a nematic phase transition by increasing the tilt angle.…”

Section: Discussionmentioning

confidence: 59%

Collective excitations of quantum Hall states under tilted magnetic field

2020

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We study the neutral excitations of fractional quantum Hall states in electronic systems of finite width where an external anisotropy is introduced by tilting the magnetic field. As in the isotropic case, the neutral collective excitation can be worked out through the conserving method of composite fermions in the Hamiltonian theory because the interaction potential has a natural cutoff due to the quantum well width. We show how such a computation can be carried out perturbatively for an anisotropic interaction. We find that unlike the charge gap, the neutral collective gap is much more sensitive to the tilt and can thus, for certain fractional quantum Hall states, be easily destroyed by the parallel component of the magnetic field. We also discuss the convergence of the collective spectrum to the activation gap in the large-momentum limit.

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“…The conventional probes of FQH collective modes by inelastic light scattering [28][29][30][31] are limited to finite momenta k, thus they can only indirectly measure the graviton which emerges in k → 0 limit. In contrast, recent works in single-layer FQH systems [32,33] have shown that the graviton can be directly excited in a dynamical quench experiment, where the band mass tensor of the 2DEG is suddenly made anisotropic or the magnetic field is abruptly tilted (see also a recent proposal using surface acoustic waves [34]).…”

Section: Takedownmentioning

confidence: 96%