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@ARTICLE{Schulenborg:860273,
      author       = {Schulenborg, J. and Splettstoesser, J. and Wegewijs, M. R.},
      title        = {{D}uality for open fermion systems: {E}nergy-dependent weak
                      coupling and quantum master equations},
      journal      = {Physical review / B},
      volume       = {98},
      number       = {23},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2019-01048},
      pages        = {235405},
      year         = {2018},
      abstract     = {Open fermion systems with energy-independent bilinear
                      coupling to a fermionic environment have been shown to obey
                      a general duality relation [J. Schulenborg et al., Phys.
                      Rev. B 93, 081411 (2016)] which allows for a drastic
                      simplification of time-evolution calculations. In the
                      weak-coupling limit, such a system can be associated with a
                      unique dual physical system in which all energies are
                      inverted, in particular the internal interaction. This paper
                      generalizes this fermionic duality in two ways: we allow for
                      weak coupling with arbitrary energy dependence and describe
                      both occupations and coherences coupled by a quantum master
                      equation for the density operator. We also show that
                      whenever generalized detailed balance holds (Kolmogorov
                      criterion), the stationary probabilities for the dual system
                      can be expressed explicitly in terms of the stationary
                      recurrence times of the original system, even at large bias.
                      We illustrate the generalized duality by a detailed analysis
                      of the rate equation for a quantum dot with strong onsite
                      Coulomb repulsion, going beyond the commonly assumed
                      wide-band limit. We present predictions for (i) the decay
                      rates for transient charge and heat currents after a
                      gate-voltage quench and (ii) the thermoelectric
                      linear-response coefficients in the stationary limit. We
                      show that even for pronouncedly energy-dependent coupling,
                      all nontrivial parameter dependence in these problems is
                      entirely captured by just two well-understood stationary
                      variables, the average charge of the system and of the dual
                      system. Remarkably, it is the latter that often dictates the
                      most striking features of the measurable quantities (e.g.,
                      positions of resonances), underscoring the importance of the
                      dual system for understanding the actual one.},
      cin          = {PGI-2 / JARA-FIT},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106 / $I:(DE-82)080009_20140620$},
      pnm          = {141 - Controlling Electron Charge-Based Phenomena
                      (POF3-141)},
      pid          = {G:(DE-HGF)POF3-141},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000452007300004},
      doi          = {10.1103/PhysRevB.98.235405},
      url          = {https://juser.fz-juelich.de/record/860273},
}