18 citations · 48 across the 6 of their papers we have counts for
6 papers
Who's afraid of the Unit Quaternion ?
Brian O'Sullivan
Far from being just a 2-level Quantum system the Qubit is a Unit Quaternion, also known as a Spinor. Therefore it follows that the Qubit is a 4-dimensional vector which traces a pa…
Quaternions, Spinors and the Hopf Fibration: Hidden Variables in Classical Mechanics
Brian O'Sullivan
Rotations in 3 dimensional space are equally described by the SU(2) and SO(3) groups. These isomorphic groups generate the same 3D kinematics using different algebraic structures o…
Coherent transport by adiabatic passage on atom chips
T. Morgan, L. J. O'Riordan, N. Crowley +2
Adiabatic techniques offer some of the most promising tools to achieve high-fidelity control of the centre-of-mass degree of freedom of single atoms. As their main requirement is t…
Coherent adiabatic transport of atoms in radio-frequency traps
T. Morgan, B. O'Sullivan, Th. Busch
Coherent transport by adiabatic passage has recently been suggested as a high-fidelity technique to engineer the centre-of-mass state of single atoms in inhomogenous environments.…
Using adiabatic coupling techniques in atom-chip waveguide structures
B. O'Sullivan, P. Morrissey, T. Morgan +1
Adiabatic techniques are well known tools in multi-level electron systems to transfer population between different states with high fidelity. Recently it has been realised that the…
Spontaneous Emission in ultra-cold spin-polarised anisotropic Fermi Seas
Brian O'Sullivan, Thomas Busch
We examine and explain the spatial emission patterns of ultracold excited fermions in anisotropic trapping potentials in the presence of a spin polarised Fermi sea of ground state…