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Functional Renormalization and Ultracold Quantum Gases

  • Book
  • © 2010

Overview

Authors:
  1. Stefan Flörchinger

    1. , Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany

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  • 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
    Download chapter PDF

  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
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Keywords

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

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