Ultracold Quantum Fields provides a self-contained introduction to quantum field theory for many-particle systems, using functional methods throughout. Thegeneral focus is on the behaviour of so-called quantum fluids, i.e., quantum gases and liquids, but trapped atomic gases are always used as an example. Both equilibrium and non-equilibrium phenomena are considered. Firstly, in the equilibrium case, the appropriate Hartree-Fock theory for the properties of a quantum fluid in the normal phase is derived. The focus then turns to the properties in the superfluid phase, and the authors present a microscopic derivationof the Bogoliubov theory of Bose-Einstein condensation and the Bardeen-Cooper-Schrieffer theory of superconductivity. The former is applicable to trapped bosonic gases such as rubidium, lithium, sodium and hydrogen, and the latter inparticular to the fermionic isotope of atomic lithium. Describes methods usedto address various problems in the field of ultracold atomic gases which are not presently available in any other title The reader will learn the most powerful many-body techniques that are currently available to theoretically describe ultracold atomic gases Written at a level suitable for advanced students and researchers Extensive sets of example problems provided throughout INDICE: 1: Introduction. 2: Gaussian Integrals. 3: Quantum Mechanics.4: Statistical Physics. 5: Second Quantization. 6: Grassmann Variables and CoherentStates. 7: Path Integrals. 8: Functional Integrals. 9: Interactions and Feynman Diagrams. 10: Effective Actions. 11: Landau Theory of Phase Transitions. 12: Atomic Physics. 13: Superfluidity. 14: Superconductivity. 15: Degenerate Fermi Gases. 16: Phase Diffusion. 17: Renormalisation Group. 18: Hubbard Models. 19: Low-Dimensional Systems. 20: Feshbach Resonances. 21: Coherent Atom-Molecule Oscillations. 22: Non-Equilibrium Quantum Field Theory.
- ISBN: 978-1-4020-8762-2
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 460
- Fecha Publicación: 01/07/2008
- Nº Volúmenes: 1
- Idioma: Inglés