Efficient non-Markovian quantum dynamics using time-evolving matrix product operators

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Strathearn, A. and Kirton, P. and Kilda, D. and Keeling, J. and Lovett, B.W. (2018) Efficient non-Markovian quantum dynamics using time-evolving matrix product operators. Nature Communications, 9. 3322. ISSN 2041-1723 (https://doi.org/10.1038/s41467-018-05617-3)

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Abstract

In order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment. To date, most understanding of open quantum systems is restricted either to weak system–bath couplings or to special cases where specific numerical techniques become effective. Here we present a general and yet exact numerical approach that efficiently describes the time evolution of a quantum system coupled to a non-Markovian harmonic environment. Our method relies on expressing the system state and its propagator as a matrix product state and operator, respectively, and using a singular value decomposition to compress the description of the state as time evolves. We demonstrate the power and flexibility of our approach by numerically identifying the localisation transition of the Ohmic spin-boson model, and considering a model with widely separated environmental timescales arising for a pair of spins embedded in a common environment.

ORCID iDs

Strathearn, A., Kirton, P. ORCID logoORCID: https://orcid.org/0000-0002-3915-1098, Kilda, D., Keeling, J. and Lovett, B.W.;
  • Item type:Article
    ID code:71357
    Dates:
    Date
    Event
    1 December 2018
    Published
    20 August 2018
    Published Online
    11 July 2018
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:05 Feb 2020 14:49
    Last modified:17 Dec 2024 21:13
    URI:https://strathprints.strath.ac.uk/id/eprint/71357
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