Ahmed, A and Roy, N and Sharma, A (2021) Dynamics of spectral correlations in the entanglement Hamiltonian of the Aubry-André-Harper model. In: Physical Review B, 104 (15).
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Abstract
We numerically study the evolution of spectral correlations in the entanglement Hamiltonian (EH) of noninteracting fermions in the Aubry-André-Harper (AAH) model. We analyze the time evolution of the EH spectrum in a nonequilibrium setting by studying several quantities: spectral distribution, level statistics, entanglement entropy, and spectral form factor (SFF) in the context of the delocalization-localization transition in the AAH model. It is observed that the SFF of the entanglement spectrum in the delocalized phase and at the phase-transition point evolves in three time intervals. We make a systematic study of the emergence of these three timescales for various initial states and find that the number of time intervals remains 3 unless the Hamiltonian is tuned in the localized phase or when the initial state is maximally entangled, when there is a featureless time evolution. We find a broad direct correlation between the entanglement entropy and the length of the ramp of the SFF. We also find that in the delocalized phase the spectral correlations are stronger in the center of the spectrum and grow progressively weaker as more and more of the spectrum is considered. © 2021 American Physical Society.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review B |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to Authors |
| Keywords: | Entropy; Quantum entanglement, Entanglement entropy; Form factors; Hamiltonian spectrum; Harper model; Initial state; Noninteracting fermions; Spectral correlation; Time evolutions; Time interval, Hamiltonians |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 22 Nov 2021 10:28 |
| Last Modified: | 22 Nov 2021 10:28 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70555 |
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