Localisation determines the optimal noise rate for quantum transport
Abstract
Environmental noise plays a key role in determining the efficiency of transport in quantum systems. However, disorder and localisation alter the impact of such noise on energy transport. To provide a deeper understanding of this relationship we perform a systematic study of the connection between eigenstate localisation and the optimal dephasing rate in 1D chains. The effects of energy gradients and disorder on chains of various lengths are evaluated and we demonstrate how optimal transport efficiency is determined by both size-independent, as well as size-dependent factors. By discussing how size-dependent influences emerge from finite size effects we establish when these effects are suppressed, and show that a simple power law captures the interplay between size-dependent and size-independent responses. Moving beyond phenomenological pure dephasing, we implement a finite temperature Bloch–Redfield model that captures detailed balance. We show that the relationship between localisation and optimal environmental coupling strength continues to apply at intermediate and high temperature but breaks down in the low temperature limit.
Citation
Coates , A R , Lovett , B W & Gauger , E M 2021 , ' Localisation determines the optimal noise rate for quantum transport ' , New Journal of Physics , vol. 23 , no. 12 , 123014 . https://doi.org/10.1088/1367-2630/ac3b2c
Publication
New Journal of Physics
Status
Peer reviewed
ISSN
1367-2630Type
Journal article
Rights
Copyright © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Description
This work was supported by EPSRC Grant No. EP/L015110/1.Collections
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