eprintid: 1934
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/19/34
datestamp: 2002-02-27 00:00:00
lastmod: 2014-04-03 11:35:14
status_changed: 2012-08-14 15:03:21
type: doctoralThesis
metadata_visibility: show
creators_name: Stauber, Tobias
title: Dissipative Quantum Systems and Flow Equations
title_de: Dissipative Quantensysteme und Flussgleichungen
ispublished: pub
subjects: 530
divisions: 130300
adv_faculty: af-13
keywords: Flussgleichung , Spin-Boson-Modell , Rauschinduzierter Transportflow equation , spin-boson model , noise induced transport
cterms_swd: Dissipation
cterms_swd: Brownsche Bewegung
cterms_swd: Magnetische Phasenumwandlung
cterms_swd: Renormierungsgruppe
cterms_swd: Feldtheorie
abstract_translated_text: 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.
abstract_translated_lang: eng
class_scheme: pacs
class_labels: 74.50.+r, 05.40.Jc, 05.30.-d, 05.10.Cc
date: 2002
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00001934
ppn_swb: 1643272497
own_urn: urn:nbn:de:bsz:16-opus-19345
date_accepted: 2002-02-20
advisor: HASH(0x564e1c586768)
language: eng
bibsort: STAUBERTOBDISSIPATIV2002
full_text_status: public
citation:   Stauber, Tobias  (2002) Dissipative Quantum Systems and Flow Equations.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/1934/1/main.pdf