Authors:
- Novel spin-density-functional approach applied to the study Fermi gases inside one-dimensional optical lattices
Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 5)
Part of the book sub series: Theses (Scuola Normale Superiore) (TSNS)
About this book
The experimental achievement of Bose-Einstein condensation (1995) and of Fermi degeneracy (1999) in ultra-cold, dilute gases has opened a new field in atomic physics and condensed matter physics. In this thesis, first we present an overview of theoretical and experimental facts on ultra-cold atomic gases. We then describe a Green's function scheme to study coherent transport by fermions through a one-dimensional array of potential wells. Within this scheme different geometries for the array like single-period, double-period and Fibonacci-ordered quasi-periodic array, will be considered. In continue a novel spin-density-functional approach will be introduced to study the ground-state of a one-dimensional trapped Fermi gases inside one-dimensional optical lattices. This approach enables us to investigate both repulsive and attractive Fermi gases within a local-spin-density approximation. We analyze different phases caused by spin-dependent trap for repulsive gas and also by spin-imbalanced population for attractive gas.
Keywords
- 1D quantum gas
- density functional
- transport theory
- partial differential equations
Authors and Affiliations
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University of Jyväskylä Nanoscience Center, Jyväskylä, Finland
Mohammad Reza Bakhtiari
Bibliographic Information
Book Title: Quantum Gases in Quasi-One-Dimensional Arrays
Authors: Mohammad Reza Bakhtiari
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Copyright Information: Edizioni della Normale 2008
Softcover ISBN: 978-88-7642-319-2Published: 15 February 2008
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: XVI, 168