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Noise-induced transport in the Aubry-André-Harper model
by Devendra Singh Bhakuni, Talía L. M. Lezama and Yevgeny Bar Lev
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Submission summary
| Authors (as registered SciPost users): | Yevgeny Bar Lev · Devendra Singh Bhakuni · Talía L. M. Lezama |
| Submission information | |
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| Preprint Link: | scipost_202307_00026v3 (pdf) |
| Date accepted: | 2024-04-12 |
| Date submitted: | 2023-12-14 18:33 |
| Submitted by: | Bhakuni, Devendra Singh |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study quantum transport in a quasiperiodic Aubry-André-Harper (AAH) model induced by the coupling of the system to a Markovian heat bath. We find that coupling the heat bath locally does not affect transport in the delocalized and critical phases, while it induces logarithmic transport in the localized phase. Increasing the number of coupled sites at the central region introduces a transient diffusive regime, which crosses over to logarithmic transport in the localized phase and in the delocalized regime to ballistic transport. On the other hand, when the heat bath is coupled to equally spaced sites of the system, we observe a crossover from ballistic and logarithmic transport to diffusion in the delocalized and localized regimes, respectively. We propose a classical master equation, which in the localized phase, captures our numerical observations for both coupling configurations on a qualitative level and for some parameters, even on a quantitative level. Using the classical picture, we show that the crossover to diffusion occurs at a time that increases exponentially with the spacing between the coupled sites, and the resulting diffusion constant decreases exponentially with the spacing.
Published as SciPost Phys. Core 7, 023 (2024)
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Dear Editor,
as I have mentioned in my previous reports I do not see a case for this manuscript to be published in SciPost Physics based on its acceptance criteria.
In particular I do not see a major advance/breakthrough here, or any substantial or major novelty with respect to previous literature (also from the same group, see Ref 35).
This is nevertheless a solid work which will certainly be of interest for the researchers working on localisation and its stability. The Authors have addressed my previous comments and therefore I am happy to recommend publication in SciPost Core.