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Functional Renormalization and Ultracold Quantum Gases

Stefan Flörchinger

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English
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
16 September 2010
Series: Springer Theses
Modern techniques from quantum field theory are applied in this work to the description of ultracold quantum gases. This leads to a unified description of many phenomena including superfluidity for bosons and fermions, classical and quantum phase transitions, different dimensions, thermodynamic properties and few-body phenomena as bound state formation or the Efimov effect. The non-perturbative treatment with renormalization group flow equations can account for all known limiting cases by solving one single equation. It improves previous results quantitatively and brings qualitatively new insights. As an example, new quantum phase transitions are found for fermions with three spin states. Ultracold atomic gases can be seen as an interesting model for features of high energy physics and for condensed matter theory. The research reported in this thesis helps to solve the difficult complexity problem in modern theoretical physics.
By:  
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication:   Germany
Edition:   2010 ed.
Volume:   0
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 12mm
Weight:   488g
ISBN:   9783642141126
ISBN 10:   3642141129
Series:   Springer Theses
Pages:   202
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
The Wetterich Equation.- Generalized Flow Equation.- Truncations.- Cutoff Choices.- Investigated Models.- Symmetries.- Truncated Flow Equations.- Few-Body Physics.- Many-Body Physics.- Conclusions.- Appendices.

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