General solution of the time evolution of two interacting harmonic oscillators

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorBruschi, David Edwarden_US
dc.contributor.authorParaoanu, G. S.en_US
dc.contributor.authorFuentes, Ivetteen_US
dc.contributor.authorWilhelm, Frank K.en_US
dc.contributor.authorSchell, Andreas W.en_US
dc.contributor.departmentDepartment of Applied Physicsen
dc.contributor.groupauthorCentre of Excellence in Quantum Technology, QTFen
dc.contributor.groupauthorSuperconducting Qubits and Circuit QEDen
dc.contributor.organizationUniversität des Saarlandesen_US
dc.contributor.organizationUniversity of Southamptonen_US
dc.contributor.organizationSaarland Universityen_US
dc.contributor.organizationPhysikalisch-Technische Bundesanstalten_US
dc.date.accessioned2021-03-22T07:11:49Z
dc.date.available2021-03-22T07:11:49Z
dc.date.issued2021-02-11en_US
dc.description| openaire: EC/H2020/862644/EU//QUARTET
dc.description.abstractWe 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.description.versionPeer revieweden
dc.format.extent13
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationBruschi, 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.103.023707en
dc.identifier.doi10.1103/PhysRevA.103.023707en_US
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.otherPURE UUID: bfeea1db-d6de-4ba1-8920-edfb7208219ben_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/bfeea1db-d6de-4ba1-8920-edfb7208219ben_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/56860834/Bruschi_General_solution_of_the_time_evolution.PhysRevA.103.023707_2.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/103281
dc.identifier.urnURN:NBN:fi:aalto-202103222559
dc.language.isoenen
dc.publisherAmerican Physical Society
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/862644/EU//QUARTETen_US
dc.relation.ispartofseriesPhysical Review Aen
dc.relation.ispartofseriesVolume 103, issue 2en
dc.rightsopenAccessen
dc.titleGeneral solution of the time evolution of two interacting harmonic oscillatorsen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion

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