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dc.contributor.authorChiu, Yiu-Fung
dc.contributor.authorStrathearn, Aidan
dc.contributor.authorKeeling, Jonathan
dc.identifier.citationChiu , Y-F , Strathearn , A & Keeling , J 2022 , ' Numerical evaluation and robustness of the quantum mean force Gibbs state ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 106 , no. 1 , 012204 .
dc.identifier.otherPURE: 280067518
dc.identifier.otherPURE UUID: b4e17be9-5e67-4b9d-9e1e-3648a1b44be0
dc.identifier.otherORCID: /0000-0002-4283-552X/work/115631105
dc.identifier.otherScopus: 85134481596
dc.identifier.otherWOS: 000824587200012
dc.descriptionFunding: Y.F.C. acknowledges funding from the St Andrews Undergraduate Research Assistant Scheme, the School of Physics and Astronomy Student-Staff Council vacation awards, and the University of St Andrews Physics Trust. J.K. acknowledges funding from EPSRC (EP/T014032/1).en
dc.description.abstractWe introduce a numerical method to determine the Hamiltonian of Mean Force (HMF) Gibbs state for a quantum system strongly coupled to a reservoir. The method adapts the Time Evolving Matrix Product Operator (TEMPO) algorithm to imaginary time propagation. By comparing the real-time and imaginary-time propagation for a generalized spin-boson model, we confirm that the HMF Gibbs state correctly predicts the steady state. We show that the numerical dynamics match the polaron master equation at strong coupling. We illustrate the potential of the imaginary-time TEMPO approach by exploring reservoir-induced entanglement between qubits.
dc.relation.ispartofPhysical Review. A, Atomic, molecular, and optical physicsen
dc.rightsCopyright © 2022 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectQC Physicsen
dc.subjectTK Electrical engineering. Electronics Nuclear engineeringen
dc.titleNumerical evaluation and robustness of the quantum mean force Gibbs stateen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Centre for Designer Quantum Materialsen
dc.contributor.institutionUniversity of St Andrews. Condensed Matter Physicsen
dc.description.statusPeer revieweden

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