Functional Renormalization and Ultracold Quantum Gases

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.

List of contents

The Wetterich Equation.- Generalized Flow Equation.- Truncations.- Cutoff Choices.- Investigated Models.- Symmetries.- Truncated Flow Equations.- Few-Body Physics.- Many-Body Physics.- Conclusions.- Appendices.

Summary

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.

Product details

• Authors: Stefan Flörchinger
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 04.10.2012
• EAN: 9783642265020
• ISBN: 978-3-642-26502-0
• No. of pages: 202
• Dimensions: 155 mm x 11 mm x 235 mm
• Weight: 330 g
• Illustrations: X, 202 p. 58 illus.
• Series: Springer Theses; Springer Theses
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, Quantenphysik (Quantenmechanik und Quantenfeldtheorie), Tieftemperaturphysik, Theoretical, Mathematical and Computational Physics, Quantum Physics, Quantum physics (quantum mechanics & quantum field theory), Physics and Astronomy, Mathematical physics, Atomic & molecular physics, Low Temperature Physics, Low temperatures, Condensed materials, Phase transformations (Statistical physics), Quantum Gases and Condensates