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Functional Renormalization and Ultracold Quantum Gases

Buch | Hardcover
X, 202 Seiten
2010 | 2010
Springer Berlin (Verlag)
978-3-642-14112-6 (ISBN)
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Here, modern techniques from quantum field theory are applied to the description of ultracold quantum gases, enabling a unified description of numerous phenomena including superfluidity for bosons and fermions and classical and quantum phase transitions.

Modern techniques from quantum field theory are applied 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.

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

Erscheint lt. Verlag 16.9.2010
Reihe/Serie Springer Theses
Zusatzinfo X, 202 p. 58 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 443 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
Schlagworte BCS-BEC Crossover • Efimov Effect • functional renormalization group • Non-Relativistic Quantum Field Theory • Quantenfeldtheorie • Renormalization Group • Superfluidity • theoretical physics • Ultra Cold Quantum Gases
ISBN-10 3-642-14112-9 / 3642141129
ISBN-13 978-3-642-14112-6 / 9783642141126
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