Functional Renormalization and Ultracold Quantum Gases

  • Stefan Flörchinger

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Stefan Flörchinger
    Pages 1-16
  3. Stefan Flörchinger
    Pages 17-21
  4. Stefan Flörchinger
    Pages 23-31
  5. Stefan Flörchinger
    Pages 33-37
  6. Stefan Flörchinger
    Pages 39-42
  7. Stefan Flörchinger
    Pages 43-57
  8. Stefan Flörchinger
    Pages 59-69
  9. Stefan Flörchinger
    Pages 71-83
  10. Stefan Flörchinger
    Pages 85-115
  11. Stefan Flörchinger
    Pages 117-169
  12. Stefan Flörchinger
    Pages 171-175
  13. Stefan Flörchinger
    Pages 177-199

About this book


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.


BCS-BEC Crossover Efimov Effect Functional Renormalization Group Non-Relativistic Quantum Field Theory Renormalization group Superfluidity Theoretical physics Ultra Cold Quantum Gases

Authors and affiliations

  • Stefan Flörchinger
    • 1
  1. 1., Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag GmbH Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-14112-6
  • Online ISBN 978-3-642-14113-3
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
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