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  • © 2010

Functional Renormalization and Ultracold Quantum Gases

  • A major contribution to the way we describe ultracold quantum gases
  • Represents a quantitative improvement over previous methods and brings qualitatively new insights.
  • Nominated by the University of Heidelberg as an outstanding theoretical contribution
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-ix
  2. Introduction

    • Stefan Flörchinger
    Pages 1-16
  3. The Wetterich Equation

    • Stefan Flörchinger
    Pages 17-21
  4. Generalized Flow Equation

    • Stefan Flörchinger
    Pages 23-31
  5. Truncations

    • Stefan Flörchinger
    Pages 33-37
  6. Cutoff Choices

    • Stefan Flörchinger
    Pages 39-42
  7. Investigated Models

    • Stefan Flörchinger
    Pages 43-57
  8. Symmetries

    • Stefan Flörchinger
    Pages 59-69
  9. Truncated Flow Equations

    • Stefan Flörchinger
    Pages 71-83
  10. Few-Body Physics

    • Stefan Flörchinger
    Pages 85-115
  11. Many-Body Physics

    • Stefan Flörchinger
    Pages 117-169
  12. Conclusions

    • Stefan Flörchinger
    Pages 171-175
  13. Appendices

    • 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.

Authors and Affiliations

  • , Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany

    Stefan Flörchinger

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access