A Double-Well System Composed of Phonons in a Pair of Trapped Ions

Report No. ARL-TR-5781
Authors: Patricia J. Lee
Date/Pages: September 2011; 12 pages
Abstract: This report presents a theoretical framework using a double-well system to describe the transverse phonon coupling between a pair of trapped ions. The double-well system is a special case of the more generalized Bose-Hubbard Model, with exactly two sites available to store particles. Analogous double-well systems in solid-state junctions and in Bose-Einstein condensates have been used for interferometric sensing, as well as quantum information processing, and many exotic quantum phenomena such as coherent tunneling and the Josephson Effect also arise naturally in such systems. This perspective offers insight into possible methods to control phonons in trapped ions, which are commonly used as a resource for quantum computation and quantum simulation.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2011