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Dissipative Quantum Systems and Flow Equations

Stauber, Tobias

German Title: Dissipative Quantensysteme und Flussgleichungen

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Translation of abstract (English)

This work investigates dissipative quantum systems by means of Flow Equations for Hamiltonians. We start with the Spin-Boson Model including one bosonic mode. The Flow Equation results for the ground-state energy and for the transformation of the Pauli spin matrices are compared with the numerically exact solution. For the Spin-Boson Model with an arbitrary number of bosonic modes and explicitly broken reflection symmetry, general Flow Equations are set up using a truncation scheme which involves an l-dependent normal ordering procedure. Furthermore, observations on universal asymptotic behaviour are discussed. The remaining chapter investigates quantum Brownian motion in a periodic potential with broken reflection symmetry - employing the previous procedures. In this context we also include results for the Tomonaga-Luttinger Model with impurity.

Document type: Dissertation
Supervisor: Mielke, Prof. Dr. Andreas
Date of thesis defense: 20 February 2002
Date Deposited: 27 Feb 2002 00:00
Date: 2002
Faculties / Institutes: The Faculty of Physics and Astronomy > Institute for Theoretical Physics
DDC-classification: 530 Physics
Controlled Keywords: Dissipation, Brownsche Bewegung, Magnetische Phasenumwandlung, Renormierungsgruppe, Feldtheorie
Uncontrolled Keywords: Flussgleichung , Spin-Boson-Modell , Rauschinduzierter Transportflow equation , spin-boson model , noise induced transport
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