Berlin 2001 – wissenschaftliches Programm
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Q: Quantenoptik
Q 18: Cooling and Trapping III (joint session A and Q)
Q 18.1: Hauptvortrag
Mittwoch, 4. April 2001, 15:45–16:15, H 3010
Thermodynamic properties of interacting Bose gases - theoretical developments beyond mean-field theory — •Gernot Alber — Abteilung für Quantenphysik.Universität Ulm
The experimental realization of Bose-Einstein condensation of weakly interacting, trapped atomic gases has renewed interest in thermodynamic properties of these systems. So far mean-field theory has been successful in describing many experimentally observed aspects. However, it is also known that mean-field theories do not yield accurate descriptions of phase transitions. One possibility to improve on mean-field theory is to evaluate quantum statistical partition functions with the help of renormalization group methods. In this contribution basic ideas underlying such renormalization group methods are discussed. This way a description of the thermodynamic properties of interacting quantum gases is obtained which is also reliable close to the critical point of a second order phase transition. Motivated by recent discussions, characteristic critical properties of homogeneous, interacting Bose gases are exemplified. Furthermore, generalizations of these renormalization group methods are outlined which are applicable to trapped, interacting Bose gases. This way it is possible to describe physical effects of confinement beyond the local density approximation.
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