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Tensor network simulation of chains of non-Markovian open quantum systems
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dc.contributor.author | Fux, Gerald E. | |
dc.contributor.author | Kilda, Dainius | |
dc.contributor.author | Lovett, Brendon W. | |
dc.contributor.author | Keeling, Jonathan | |
dc.date.accessioned | 2023-08-04T16:30:01Z | |
dc.date.available | 2023-08-04T16:30:01Z | |
dc.date.issued | 2023-08-04 | |
dc.identifier | 290393027 | |
dc.identifier | b5dc49da-6c70-420b-bd45-d756f2c152ae | |
dc.identifier | 85167869830 | |
dc.identifier.citation | Fux , G E , Kilda , D , Lovett , B W & Keeling , J 2023 , ' Tensor network simulation of chains of non-Markovian open quantum systems ' , Physical Review Research , vol. 5 , no. 3 , 033078 . https://doi.org/10.1103/PhysRevResearch.5.033078 | en |
dc.identifier.issn | 2643-1564 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/2201.05529v3 | |
dc.identifier.other | ORCID: /0000-0002-4283-552X/work/139965225 | |
dc.identifier.other | ORCID: /0000-0001-5142-9585/work/139965363 | |
dc.identifier.uri | https://hdl.handle.net/10023/28112 | |
dc.description | Funding: UK Engineering and Physical Sciences Research Council (EPSRC) EP/T014032/1 (JK, BL); EP/L015110/1 (GF, DK). | en |
dc.description.abstract | We introduce a general numerical method to compute dynamics and multi-time correlations of chains of quantum systems, where each system may couple strongly to a structured environment. The method combines the process tensor formalism for general (possibly non-Markovian) open quantum systems with time evolving block decimation (TEBD) for 1D chains. It systematically reduces the numerical complexity originating from system-environment correlations before integrating them into the full many-body problem, making a wide range of applications numerically feasible. We illustrate the power of this method by studying two examples. First, we study the thermalization of individual spins of a short XYZ Heisenberg chain with strongly coupled thermal leads. Our results confirm the complete thermalization of the chain when coupled to a single bath, and reveal distinct effective temperatures in low, mid, and high frequency regimes when the chain is placed between a hot and a cold bath. Second, we study the dynamics of diffusion in an longer XY chain, when each site couples to its own bath. | |
dc.format.extent | 14 | |
dc.format.extent | 2414636 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review Research | en |
dc.subject | QC Physics | en |
dc.subject | TK Electrical engineering. Electronics Nuclear engineering | en |
dc.subject | DAS | en |
dc.subject | MCC | en |
dc.subject | NCAD | en |
dc.subject.lcc | QC | en |
dc.subject.lcc | TK | en |
dc.title | Tensor network simulation of chains of non-Markovian open quantum systems | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. School of Physics and Astronomy | en |
dc.contributor.institution | University of St Andrews. Centre for Designer Quantum Materials | en |
dc.contributor.institution | University of St Andrews. Condensed Matter Physics | en |
dc.identifier.doi | 10.1103/PhysRevResearch.5.033078 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://arxiv.org/abs/2201.05529 | en |
dc.identifier.grantnumber | EP/T014032/1 | en |
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