000127158 001__ 127158
000127158 005__ 20210129210916.0
000127158 037__ $$aFZJ-2012-00223
000127158 1001_ $$0P:(DE-Juel1)130936$$aSaptsov, Roman$$b0$$eCorresponding author
000127158 1112_ $$aInternational Workshop on Cooperative Quantum Dynamics and Its Control (CQDC'12)$$cJülich$$d2012-10-29 - 2012-12-31$$wGermany
000127158 245__ $$aFermionic superoperator formalism for reduced density operator dynamics:new insights into the non-equilibrium Anderson model
000127158 260__ $$c2012
000127158 3367_ $$0PUB:(DE-HGF)24$$2PUB:(DE-HGF)$$aPoster$$bposter$$mposter$$s1354631383_14582$$xOther
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000127158 3367_ $$2ORCID$$aCONFERENCE_POSTER
000127158 3367_ $$2BibTeX$$aINPROCEEDINGS
000127158 520__ $$aRecently we introduced a new formalism of fermionic superoperators in Liouville-Fock space to enable for the first time a real-time renormalization group analysis cite{Saptsov12a} of the non-equilibrium Anderson model in the stationary state. Here we show that this approach also sheds new light on physics of the relaxation of a quantum dot to the stationary state. With help of superoperators possessing a fermionic statistics we obtain new, general properties of an effective dot Liouvillian of a quantum dot which are not at all obvious in other formulations. In particular we elegantly explain a recent theoretical observation cite{Contreras12} on a relaxation of an Anderson quantum to the equilibrium state and generalize this to arbitrary order in a coupling constant $Gamma$. We furthermore, consider the non-interacting and weakly interacting quantum dots and show their generalization to "beyond of wide band limit" and "beyond of factorisable initial conditions" limits. The solution for the non-interacting case turns out to be very illustrative and intuitive: perturbation series in $Gamma$ truncates at a finite (second) order due to anti-commutation algebra of the superoperators. For the weakly  interacting case in the wide band limit we show relations between perturbative series in the coupling constant $Gamma$ and interaction $U$. Finally we present a new Liouville space path-integral representation in terms of fermionic superfields and indicate useful applications of this formalism in non-equilibrium physics.
000127158 536__ $$0G:(DE-HGF)POF2-422$$a422 - Spin-based and quantum information (POF2-422)$$cPOF2-422$$fPOF II$$x0
000127158 7001_ $$0P:(DE-Juel1)131026$$aWegewijs, Maarten Rolf$$b1
000127158 909CO $$ooai:juser.fz-juelich.de:127158$$pVDB
000127158 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)130936$$aForschungszentrum Jülich GmbH$$b0$$kFZJ
000127158 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)131026$$aForschungszentrum Jülich GmbH$$b1$$kFZJ
000127158 9131_ $$0G:(DE-HGF)POF2-422$$1G:(DE-HGF)POF2-420$$2G:(DE-HGF)POF2-400$$3G:(DE-HGF)POF2$$4G:(DE-HGF)POF$$aDE-HGF$$bSchlüsseltechnologien$$lGrundlagen zukünftiger Informationstechnologien$$vSpin-based and quantum information$$x0
000127158 9141_ $$y2012
000127158 9201_ $$0I:(DE-Juel1)PGI-2-20110106$$kPGI-2$$lTheoretische Nanoelektronik$$x0
000127158 980__ $$aVDB
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000127158 980__ $$aI:(DE-Juel1)PGI-2-20110106