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@ARTICLE{Heib:1042350,
      author       = {Heib, Tim and Lageyre, Paul and Ferreri, Alessandro and
                      Wilhelm, Frank K and Paraoanu, G. S. and Burgarth, Daniel
                      and Schell, Andreas W and Edward Bruschi, David},
      title        = {{B}ounding the rotating wave approximation for coupled
                      harmonic oscillators},
      journal      = {Journal of physics / A},
      volume       = {58},
      number       = {17},
      issn         = {1751-8113},
      address      = {Bristol},
      publisher    = {IOP Publishing},
      reportid     = {FZJ-2025-02544},
      pages        = {175304 -},
      year         = {2025},
      abstract     = {In this work we study the validity of the rotating wave
                      approximation of an ideal system composed of two harmonic
                      oscillators evolving with a quadratic Hamiltonian and
                      arbitrarily strong interaction. We prove its validity for
                      arbitrary states by bounding the error introduced. We then
                      restrict ourselves to the dynamics of Gaussian states and
                      are able to fully quantify the deviation of arbitrary pure
                      Gaussian states that evolve through different dynamics from
                      a common quantum state. We show that this distance is fully
                      determined by the first and second moments of the
                      statistical distribution of the number of excitations
                      created from the vacuum during an appropriate effective
                      time-evolution. We use these results to completely control
                      the dynamics for this class of states, therefore providing a
                      toolbox to be used in quantum optics and quantum
                      information. Applications and potential physical
                      implementations are also discussed.},
      cin          = {PGI-12},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-12-20200716},
      pnm          = {5223 - Quantum-Computer Control Systems and Cryoelectronics
                      (POF4-522) / Verbundprojekt: German Quantum Computer based
                      on Superconducting Qubits (GEQCOS) - Teilvorhaben:
                      Charakterisierung, Kontrolle und Auslese (13N15685) / BMBF
                      13N16210 - SPINNING – Spin-Photon-basierter
                      Quantencomputer auf Diamantbasis (BMBF-13N16210)},
      pid          = {G:(DE-HGF)POF4-5223 / G:(BMBF)13N15685 /
                      G:(DE-Juel1)BMBF-13N16210},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001478116000001},
      doi          = {10.1088/1751-8121/adcd16},
      url          = {https://juser.fz-juelich.de/record/1042350},
}