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| Hauptseite > Publikationsdatenbank > Fermionic superoperator formalism for reduced density operator dynamics:new insights into the non-equilibrium Anderson model > print |
| Hauptseite > Publikationsdatenbank > Fermionic superoperator formalism for reduced density operator dynamics:new insights into the non-equilibrium Anderson model > print |
| 001 | 127158 | ||
| 005 | 20210129210916.0 | ||
| 037 | _ | _ | |a FZJ-2012-00223 |
| 100 | 1 | _ | |a Saptsov, Roman |0 P:(DE-Juel1)130936 |b 0 |e Corresponding author |
| 111 | 2 | _ | |a International Workshop on Cooperative Quantum Dynamics and Its Control (CQDC'12) |c Jülich |d 2012-10-29 - 2012-12-31 |w Germany |
| 245 | _ | _ | |a Fermionic superoperator formalism for reduced density operator dynamics:new insights into the non-equilibrium Anderson model |
| 260 | _ | _ | |c 2012 |
| 336 | 7 | _ | |a Poster |b poster |m poster |0 PUB:(DE-HGF)24 |s 1354631383_14582 |2 PUB:(DE-HGF) |x Other |
| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
| 336 | 7 | _ | |a Output Types/Conference Poster |2 DataCite |
| 336 | 7 | _ | |a conferenceObject |2 DRIVER |
| 336 | 7 | _ | |a CONFERENCE_POSTER |2 ORCID |
| 336 | 7 | _ | |a INPROCEEDINGS |2 BibTeX |
| 520 | _ | _ | |a 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. |
| 536 | _ | _ | |a 422 - Spin-based and quantum information (POF2-422) |0 G:(DE-HGF)POF2-422 |c POF2-422 |x 0 |f POF II |
| 700 | 1 | _ | |a Wegewijs, Maarten Rolf |0 P:(DE-Juel1)131026 |b 1 |
| 909 | C | O | |o oai:juser.fz-juelich.de:127158 |p VDB |
| 910 | 1 | _ | |a Forschungszentrum Jülich GmbH |0 I:(DE-588b)5008462-8 |k FZJ |b 0 |6 P:(DE-Juel1)130936 |
| 910 | 1 | _ | |a Forschungszentrum Jülich GmbH |0 I:(DE-588b)5008462-8 |k FZJ |b 1 |6 P:(DE-Juel1)131026 |
| 913 | 1 | _ | |a DE-HGF |b Schlüsseltechnologien |1 G:(DE-HGF)POF2-420 |0 G:(DE-HGF)POF2-422 |2 G:(DE-HGF)POF2-400 |v Spin-based and quantum information |x 0 |4 G:(DE-HGF)POF |3 G:(DE-HGF)POF2 |l Grundlagen zukünftiger Informationstechnologien |
| 914 | 1 | _ | |y 2012 |
| 920 | 1 | _ | |0 I:(DE-Juel1)PGI-2-20110106 |k PGI-2 |l Theoretische Nanoelektronik |x 0 |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a UNRESTRICTED |
| 980 | _ | _ | |a poster |
| 980 | _ | _ | |a I:(DE-Juel1)PGI-2-20110106 |
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