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dc.contributor.authorStrathearn, Aidan
dc.contributor.authorKirton, Peter George
dc.contributor.authorKilda, Dainius
dc.contributor.authorKeeling, Jonathan Mark James
dc.contributor.authorLovett, Brendon William
dc.date.accessioned2018-08-20T10:30:10Z
dc.date.available2018-08-20T10:30:10Z
dc.date.issued2018-08-20
dc.identifier254670785
dc.identifier31210df2-2a3c-4d02-8d15-89fbb0ce6f89
dc.identifier85051939677
dc.identifier000442123200007
dc.identifier.citationStrathearn , A , Kirton , P G , Kilda , D , Keeling , J M J & Lovett , B W 2018 , ' Efficient non-Markovian quantum dynamics using time-evolving matrix product operators ' , Nature Communications , vol. 9 , 3322 . https://doi.org/10.1038/s41467-018-05617-3en
dc.identifier.issn2041-1723
dc.identifier.otherORCID: /0000-0002-4283-552X/work/47725846
dc.identifier.otherORCID: /0000-0001-5142-9585/work/47725849
dc.identifier.urihttps://hdl.handle.net/10023/15844
dc.descriptionAS acknowledges a studentship from EPSRC (EP/L505079/1). PK acknowledges support from EPSRC (EP/M010910/1). DK acknowledges support from the EPSRC CM-CDT (EP/L015110/1). JK acknowledges support from EPSRC programs "TOPNES" (EP/I031014/1) and "Hybrid Polaritonics" (EP/M025330/1). BWL acknowledges support from EPSRC (EP/K025562/1).en
dc.description.abstractIn 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.
dc.format.extent9
dc.format.extent882981
dc.language.isoeng
dc.relation.ispartofNature Communicationsen
dc.subjectQC Physicsen
dc.subjectDASen
dc.subjectBDCen
dc.subjectR2Cen
dc.subject.lccQCen
dc.titleEfficient non-Markovian quantum dynamics using time-evolving matrix product operatorsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Condensed Matter Physicsen
dc.identifier.doi10.1038/s41467-018-05617-3
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/M010910/1en
dc.identifier.grantnumberEP/L015110/1en
dc.identifier.grantnumberEP/I031014/1en
dc.identifier.grantnumberEP/M025330/1en
dc.identifier.grantnumberen


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