Abstract
Originalsprache  englisch 

Qualifikation  Master of Science 
Gradverleihende Hochschule 

Betreuer/in / Berater/in 

Datum der Bewilligung  26 Jun 2015 
Publikationsstatus  Veröffentlicht  2015 
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A BornMarkov master equation approach to correlated quantum systems in nonequilibrium. / Dorn, Gerhard.
2015.Publikation: Studienabschlussarbeit › Masterarbeit › Forschung
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TY  THES
T1  A BornMarkov master equation approach to correlated quantum systems in nonequilibrium
AU  Dorn, Gerhard
PY  2015
Y1  2015
N2  The derivation of the BornMarkov master equation apt to describe open dissipative quantum systems in nonequilibrium is depicted and compared with the Lindblad formalism. Further it's extensions to quasidegenerate states and it' evaluation in the system eigenbasis is given for the steady state in the wide band limit. In the second part the derivation of the selfconsistent Born approach an improvement of the before discussed master equation is presented and explicit formulas for the calculation of the steady state and steady state current in a single quantum dot (Anderson Impurity) with spin dependent coupling is given. In the third part these two methods are numerically evaluated for the single quantum dot and the influence of temperature and coupling strength on the steady state and current characteristics is discussed. Further the quantum dot with spindependent coupling and a cyclic triple quantum dot are investigated to show current blocking effects and negative conductance due to Coulomb repulsion respectively quantum interference. The issue of quasidegenerate states is discussed on the triple quantum dot by variation of gate voltages.
AB  The derivation of the BornMarkov master equation apt to describe open dissipative quantum systems in nonequilibrium is depicted and compared with the Lindblad formalism. Further it's extensions to quasidegenerate states and it' evaluation in the system eigenbasis is given for the steady state in the wide band limit. In the second part the derivation of the selfconsistent Born approach an improvement of the before discussed master equation is presented and explicit formulas for the calculation of the steady state and steady state current in a single quantum dot (Anderson Impurity) with spin dependent coupling is given. In the third part these two methods are numerically evaluated for the single quantum dot and the influence of temperature and coupling strength on the steady state and current characteristics is discussed. Further the quantum dot with spindependent coupling and a cyclic triple quantum dot are investigated to show current blocking effects and negative conductance due to Coulomb repulsion respectively quantum interference. The issue of quasidegenerate states is discussed on the triple quantum dot by variation of gate voltages.
M3  Master's Thesis
ER 