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Measurement of Distance and Orientation of Two Atoms in Arbitrary Geometry


Gulfam,  Qurrat-ul-Ain
Max Planck Society;

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Gulfam, Q.-u.-A. (2009). Measurement of Distance and Orientation of Two Atoms in Arbitrary Geometry. Master Thesis, Ruprecht-Karls-Universität, Heidelberg.

Accurate measurement of relative distance and orientation of two nearby quantum particles is discussed. We are in particular interested in a realistic description requiring as little prior knowledge about the system as possible. Thus, unlike in previous studies, we consider the case of an arbitrary relative orientation of the two atoms. For this, we model the atom with complete Zeeman manifolds, and include parallel as well as orthogonal dipole-dipole couplings between all states of the two atoms. We find that it is possible to determine the distance of the two atoms independent of the orientation, as long as the particles are sufficiently close to each other. Next, we discuss how in addition the alignment of the atoms can be measured. For this, we focus on the two cases of atoms in a two-dimensional waveguide and of atoms on a surface. 2. We propose a scheme for the quantum teleportation of a generalized bipartite (N + 1)2 dimensional entangled field state in two high-Q cavities. All the processes of teleportation including preparation of entangled states in high-Q cavities, measurement of the basis.