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@ARTICLE{DiVincenzo:152032,
      author       = {DiVincenzo, David and Smolin, J. A.},
      title        = {{N}onlinear spectroscopy of superconducting anharmonic
                      resonators},
      journal      = {New journal of physics},
      volume       = {14},
      issn         = {1367-2630},
      address      = {[Bad Honnef]},
      publisher    = {Dt. Physikalische Ges.},
      reportid     = {FZJ-2014-01852},
      pages        = {013051},
      year         = {2012},
      abstract     = {We formulate a model for the steady state response of a
                      nonlinear quantum oscillator structure, such as those used
                      in a variety of superconducting qubit experiments, when
                      excited by a steady, but not necessarily small, ac tone. We
                      show that this model can be derived directly from a circuit
                      description of some recent qubit experiments in which the
                      state of the qubit is read out directly, without a
                      superconducting quantum interference device (SQUID)
                      magnetometer. The excitation profile has a rich structure
                      depending on the detuning of the tone from the small-signal
                      resonant frequency, on the degree of damping and on the
                      excitation amplitude. We explore two regions in detail.
                      Firstly, at high damping there is a trough in the excitation
                      response as a function of detuning, near where the classical
                      Duffing bifurcation occurs. This trough has been understood
                      as a classical interference between two metastable responses
                      with opposite phase. We use Wigner function studies to show
                      that while this picture is roughly correct, there are also
                      more quantum mechanical aspects to this feature. Secondly,
                      at low damping we study the emergence of sharp, discrete
                      spectral features from a continuum response. We show that
                      these the structures, associated with discrete transitions
                      between different excited-state eigenstates of the
                      oscillator, provide an interesting example of a quantum Fano
                      resonance. The trough in the Fano response evolves
                      continuously from the 'classical' trough at high damping.},
      cin          = {PGI-2 / IAS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106 / I:(DE-Juel1)IAS-3-20090406},
      pnm          = {422 - Spin-based and quantum information (POF2-422)},
      pid          = {G:(DE-HGF)POF2-422},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000300413900005},
      doi          = {10.1088/1367-2630/14/1/013051},
      url          = {https://juser.fz-juelich.de/record/152032},
}