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https://hdl.handle.net/2142/31327
Description
Title
Tunneling in Degenerate Atomic Gases
Author(s)
Paraoanu, Gheorghe-Sorin
Issue Date
2001
Doctoral Committee Chair(s)
Leggett, Anthony J.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Bose gas
fermionic systems
bosons
Language
en
Abstract
The experimental achievement of Bose-Einstein condensation in cold alkali atomic
gases in 1995 has started a period of fertile research at the intersection of atomic
physics, quantum optics, and condensed matter. In this thesis, various tunneling
effects in both bosonic and fermionic gases are investigated.
The first part of this work deals with bosons in different Josephson-type experimental
setups. After a brief general introduction we establish, in Chapter 2, a
mapping between the phase and the Bogoliubov representation for the Josephson
oscillations; in Chapter 3 we calculate the Josephson coupling constant for the condensate
in the external Josephson effect. Chapter 4 deals with Josephson effects at
the level of depletion: we describe in detail the oscillatory dynamics of the virtual
quasiparticles. The next Chapter is a stability analysis for the formation of vortices
in the Kibble-Zurek scenario. Finally, Chapter 6 contains a discussion on the
time-evolution of the many-body states in the absence of tunneling.
The second part of the thesis (Chapter 7- Chapter 9) deals with fermionic systems
below the BCS critical temperature. The first two of these Chapters explore the
possibility of driving transitions between hyperfine states with lasers. In Chapter
7 we show that these transitions could be used to investigate the coherence of the
Cooper pairs. In Chapter 8 we imagine an internal Josephson experiment which uses
a pair of lasers to drive transitions between two superfluids. Finally, in Chapter 9 we
examine the properties of vortices formed in trapped Cooper-paired fermionic gases.
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