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General solution of the time evolution of two interacting harmonic oscillators

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Bruschi, David Edward
dc.contributor.author Paraoanu, G. S.
dc.contributor.author Fuentes, Ivette
dc.contributor.author Wilhelm, Frank K.
dc.contributor.author Schell, Andreas W.
dc.date.accessioned 2021-03-22T07:11:49Z
dc.date.available 2021-03-22T07:11:49Z
dc.date.issued 2021-02-11
dc.identifier.citation Bruschi , D E , Paraoanu , G S , Fuentes , I , Wilhelm , F K & Schell , A W 2021 , ' General solution of the time evolution of two interacting harmonic oscillators ' , Physical Review A , vol. 103 , no. 2 , 023707 . https://doi.org/10.1103/PhysRevA.103.023707 en
dc.identifier.issn 2469-9926
dc.identifier.issn 2469-9934
dc.identifier.other PURE UUID: bfeea1db-d6de-4ba1-8920-edfb7208219b
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/bfeea1db-d6de-4ba1-8920-edfb7208219b
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/56860834/Bruschi_General_solution_of_the_time_evolution.PhysRevA.103.023707_2.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/103281
dc.description | openaire: EC/H2020/862644/EU//QUARTET
dc.description.abstract We study the time evolution of an ideal system composed of two harmonic oscillators coupled through a quadratic Hamiltonian with arbitrary interaction strength. We solve its dynamics analytically by employing tools from symplectic geometry. In particular, we use this result to completely characterize the dynamics of the two oscillators interacting in the ultrastrong-coupling regime with additional single-mode squeezing on both oscillators, as well as higher-order terms. Furthermore, we compute quantities of interest, such as the average number of excitations and the correlations that are established between the two subsystems due to the evolution. We find that this model predicts a second-order phase transition and we compute the critical exponents and the critical value. We also provide an exact decoupling of the time evolution in terms of simple quantum optical operations, which can be used for practical implementations and studies. Finally, we show how our techniques can be extended to include more oscillators and higher-order interactions. en
dc.format.extent 13
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher American Physical Society
dc.relation info:eu-repo/grantAgreement/EC/H2020/862644/EU//QUARTET
dc.relation.ispartofseries Physical Review A en
dc.relation.ispartofseries Volume 103, issue 2 en
dc.rights openAccess en
dc.title General solution of the time evolution of two interacting harmonic oscillators en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Universität des Saarlandes
dc.contributor.department Centre of Excellence in Quantum Technology, QTF
dc.contributor.department University of Southampton
dc.contributor.department Saarland University
dc.contributor.department Physikalisch-Technische Bundesanstalt
dc.contributor.department Department of Applied Physics en
dc.identifier.urn URN:NBN:fi:aalto-202103222559
dc.identifier.doi 10.1103/PhysRevA.103.023707
dc.type.version publishedVersion

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