Functional renormalization and ultracold quantum gases

Functional renormalization and ultracold quantum gases

by Flörchinger, Stefan

Type Book
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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 solvi…

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Title Statements

  • Full title :Functional renormalization and ultracold quantum gases / Stefan Flörchinger.

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 insi.

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Edition Statements

  • Publication Date:©2010.

Publication Statements

  • Publisher(s):Springer-Verlag
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:©2010.

The Physical Object

  • Description:1 online resource (ix, 199 pages) : : illustrations (some color)

Edition Identifiers

  • ISBN:9783642141133, 3642141137
  • oclc:ocn676701129
  • LC Classification:QC175.16.P5
  • Dewey Decimal:530.4/74

Table of Contents

Functional Renormalization and Ultracold Quantum Gases; Supervisor's Foreword; Contents; 1 Introduction; 2 The Wetterich Equation; 3 Generalized Flow Equation; 4 Truncations; 5 Cutoff Choices; 6 Investigated Models; 7 Symmetries; 8 Truncated Flow Equations; 9 Few-Body Physics; 10 Many-Body Physics; 11 Conclusions; 12 Appendices.

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