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16 papers · 1 filter
Differential Recursion Relations for Laguerre Functions on Symmetric Cones
Michael Aristidou, Mark Davidson, Gestur Olafsson
Let be a symmetric cone and the corresponding simple Euclidean Jordan algebra. In \cite{ado,do,do04,doz2} we considered the family of generalized Laguerre functions on …
Feedback cooling of atomic motion in cavity QED
Daniel A. Steck, Kurt Jacobs, Hideo Mabuchi +2
We consider the problem of controlling the motion of an atom trapped in an optical cavity using continuous feedback. In order to realize such a scheme experimentally, one must be a…
The Segal-Bargmann transform for the heat equation associated with root systems
Gestur Olafsson, Henrik Schlichtkrull
We study the heat equation associated to a multiplicity function on a root system, where the corresponding Laplace operator has been defined by Heckman and Opdam. In particular, we…
The Paley-Wiener Theorem for the Jacobi Transform and the Local Huygens' Principle for Root Systems with Even Multiplicities
Thomas Branson, Gestur Olafsson, Angela Pasquale
This note is a continuation of the previous paper math.AP/0411383 by the same authors. Its purpose is to extend the results of math.AP/0411383 to the context of root systems with e…
Generation of maximally entangled charge-qubit arrays via a cavity mode
Alexandre Guillaume, Jonathan P. Dowling
We describe an assembly of N Cooper-pair boxes (CPB) contained in a single mode cavity. In the dispersive regime, the correlation between the cavity field and each Cooper-pair box…
Quantum Interferometric Sensors
Kishore T. Kapale, Leo D. Didomenico, Hwang Lee +2
Quantum entanglement has the potential to revolutionize the entire field of interferometric sensing by providing many orders of magnitude improvement in interferometer sensitivity.…