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dc.contributor.authorFruchtman, A.
dc.contributor.authorLovett, B.W.
dc.contributor.authorBenjamin, S.C.
dc.contributor.authorGauger, E.M.
dc.identifier.citationFruchtman , A , Lovett , B W , Benjamin , S C & Gauger , E M 2015 , ' Quantum dynamics in a tiered non-Markovian environment ' , New Journal of Physics , vol. 17 .
dc.identifier.otherPURE: 176909765
dc.identifier.otherPURE UUID: fe1de9a6-1e32-496c-97e8-7cb35a88525c
dc.identifier.otherScopus: 84924240140
dc.identifier.otherORCID: /0000-0001-5142-9585/work/47136590
dc.identifier.otherWOS: 000352867100001
dc.descriptionThis work was supported by the Leverhulme Trust, EPSRC under platform grant EP/J015067/1, and the National Research Foundation and Ministry of Education, Singapore. BWL thanks the Royal Society for a University Research Fellowship. EMG acknowledges support from the RSE/Scottish Government.en
dc.description.abstractWe introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix for a system coupled to a two-tiered environment. The dynamics of the system and its immediate environment are resolved in a non-Markovian way, and the environmental modes of the inner environment can themselves be damped by a wider 'universe'. Applying our approach to the canonical cases of the Rabi and spin-boson models we obtain new analytical expressions for an effective thermalization temperature and corrections to the environmental response functions as direct consequences of considering such a tiered environment. A comparison with exact numerical simulations confirms that our approximate expressions are remarkably accurate, while their analytic nature offers the prospect of deeper understanding of the physics which they describe. A unique advantage of our method is that it permits the simultaneous inclusion of a continuous bath as well as discrete environmental modes, leading to wide and versatile applicability.
dc.relation.ispartofNew Journal of Physicsen
dc.rights© 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence ( Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.en
dc.subjectQC Physicsen
dc.titleQuantum dynamics in a tiered non-Markovian environmenten
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Condensed Matter Physicsen
dc.description.statusPeer revieweden

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