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@INPROCEEDINGS{Saptsov:127158,
      author       = {Saptsov, Roman and Wegewijs, Maarten Rolf},
      title        = {{F}ermionic superoperator formalism for reduced density
                      operator dynamics:new insights into the non-equilibrium
                      {A}nderson model},
      reportid     = {FZJ-2012-00223},
      year         = {2012},
      abstract     = {Recently we introduced a new formalism of fermionic
                      superoperators in Liouville-Fock space to enable for the
                      first time a real-time renormalization group analysis
                      cite{Saptsov12a} of the non-equilibrium Anderson model in
                      the stationary state. Here we show that this approach also
                      sheds new light on physics of the relaxation of a quantum
                      dot to the stationary state. With help of superoperators
                      possessing a fermionic statistics we obtain new, general
                      properties of an effective dot Liouvillian of a quantum dot
                      which are not at all obvious in other formulations. In
                      particular we elegantly explain a recent theoretical
                      observation cite{Contreras12} on a relaxation of an Anderson
                      quantum to the equilibrium state and generalize this to
                      arbitrary order in a coupling constant $Gamma$. We
                      furthermore, consider the non-interacting and weakly
                      interacting quantum dots and show their generalization to
                      "beyond of wide band limit" and "beyond of factorisable
                      initial conditions" limits. The solution for the
                      non-interacting case turns out to be very illustrative and
                      intuitive: perturbation series in $Gamma$ truncates at a
                      finite (second) order due to anti-commutation algebra of the
                      superoperators. For the weakly interacting case in the wide
                      band limit we show relations between perturbative series in
                      the coupling constant $Gamma$ and interaction $U$. Finally
                      we present a new Liouville space path-integral
                      representation in terms of fermionic superfields and
                      indicate useful applications of this formalism in
                      non-equilibrium physics.},
      month         = {Oct},
      date          = {2012-10-29},
      organization  = {International Workshop on Cooperative
                       Quantum Dynamics and Its Control
                       (CQDC'12), Jülich (Germany), 29 Oct
                       2012 - 31 Dec 2012},
      subtyp        = {Other},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {422 - Spin-based and quantum information (POF2-422)},
      pid          = {G:(DE-HGF)POF2-422},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/127158},
}