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@ARTICLE{ParraRodriguez:861780,
      author       = {Parra-Rodriguez, A. and Egusquiza, I. L. and DiVincenzo,
                      David and Solano, E.},
      title        = {{C}anonical circuit quantization with linear nonreciprocal
                      devices},
      journal      = {Physical review / B},
      volume       = {99},
      number       = {1},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2019-02208},
      pages        = {014514},
      year         = {2019},
      abstract     = {Nonreciprocal devices effectively mimic the breaking of
                      time-reversal symmetry for the subspace of dynamical
                      variables that they couple, and can be used to create chiral
                      information processing networks. We study the systematic
                      inclusion of ideal gyrators and circulators into Lagrangian
                      and Hamiltonian descriptions of lumped-element electrical
                      networks. The proposed theory is of wide applicability in
                      general nonreciprocal networks on the quantum regime. We
                      apply it to pedagogical and pathological examples of
                      circuits containing Josephson junctions and ideal
                      nonreciprocal elements described by admittance matrices, and
                      compare it with the more involved treatment of circuits
                      based on nonreciprocal devices characterized by impedance or
                      scattering matrices. Finally, we discuss the dual
                      quantization of circuits containing phase-slip junctions and
                      nonreciprocal devices.},
      cin          = {PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {144 - Controlling Collective States (POF3-144)},
      pid          = {G:(DE-HGF)POF3-144},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000456811700003},
      doi          = {10.1103/PhysRevB.99.014514},
      url          = {https://juser.fz-juelich.de/record/861780},
}