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Exact quantum dynamics in structured environments

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PhysRevResearch.2.013265.pdf (5.682Mb)
Date
05/03/2020
Author
Gribben, Dominic
Strathearn, Aidan
Iles-Smith, Jake
Kilda, Dainius
Nazir, Ahsan
Lovett, Brendon William
Kirton, Peter
Keywords
QA Mathematics
QC Physics
DAS
Metadata
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Abstract
The dynamics of a wide range of technologically important quantum systems are dominated by their interaction with just a few environmental modes. Such highly structured environments give rise to long-lived bath correlations that induce complex dynamics which are very difficult to simulate. These difficulties are further aggravated when spatial correlations between different parts of the system are important. By modeling the dynamics of a pair of two-level quantum systems in a common, structured, environment we show that a recently developed general purpose numerical approach, the time-evolving matrix product operator, is capable of accurate simulation under exactly these conditions. We find that tuning the separation to match the wavelength of the dominant environmental modes can drastically modify the system dynamics. To further explore this behavior, we show that the full dynamics of the bath can be calculated directly from those of the system, thus allowing us to develop intuition for the complex dynamics observed.
Citation
Gribben , D , Strathearn , A , Iles-Smith , J , Kilda , D , Nazir , A , Lovett , B W & Kirton , P 2020 , ' Exact quantum dynamics in structured environments ' , Physical Review Research , vol. 2 , no. 1 , 013265 . https://doi.org/10.1103/PhysRevResearch.2.013265
Publication
Physical Review Research
Status
Peer reviewed
DOI
https://doi.org/10.1103/PhysRevResearch.2.013265
ISSN
2643-1564
Type
Journal article
Rights
Copyright © 2020 the Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Description
Funding: DG and DK acknowledge studentship funding from EPSRC under grant no. EP/L015110//1. AS acknowledges a studentship from EPSRC under grant no. EP/L505079/1. J.I.-S. acknowledges support from the Royal Commission for the Exhibition of 1851. AN acknowledges funding from EPSRC under grant no. EP/N008154/1.
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/19624

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