Spatial and energetic mode dynamics of cold atomic systems
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Date
2012-12
Authors
O'Sullivan, Brian
Journal Title
Journal ISSN
Volume Title
Publisher
University College Cork
Published Version
Abstract
In this thesis we relate the formal description of various cold atomic systems in the
energy eigenbasis, to the observable spatial mode dynamics. Herein the `spatial mode
dynamics' refers to the direction of photon emission following the spontaneous emission
of an excited fermion in the presence of a same species and spin ideal anisotropic Fermi
sea in its internal ground state. Due to the Pauli principle, the presence of the ground
state Fermi sea renders the phase space, anisotropic and only partially accessible, thereby
a ecting the direction of photon emission following spontaneous emission.
The spatial and energetic mode dynamics also refers to the quantum `tunneling' interaction
between localised spatial modes, synonymous with double well type potentials.
Here we relate the dynamics of the wavefunction in both the energetic and spatial representations.
Using this approach we approximate the relationship between the spatial
and energetic representations of a wavefunction spanning three spatial and energetic
modes. This is extended to a process known as Spatial Adiabatic Passage, which is a
technique to transport matter waves between localised spatial modes. This approach
allows us to interpret the transport of matter waves as a signature of a geometric phase
acquired by the one of the internal energy eigenstates of the system during the cyclical
evolution. We further show that this geometric phase may be used to create spatial
mode qubit and qutrit states.
Description
Keywords
Spacial , Mode , Dynamics , Quantum tunnelling
Citation
O'Sullivan, Brian, 2012. Spatial and energetic mode dynamics of cold atomic systems. PhD Thesis, University College Cork.