Theory of Cross Phase Modulation for the Vibrational Modes of Trapped Ions

Abstract

We analyze nonlinear coupling between individual vibrational quanta for trapped ions. The nonlinear Coulomb interaction causes a Kerr-type Hamiltonian, for which we derive an analytical expression for the coupling constant. In contrast to a previously published formula [1], our result is in close agreement with experimental data.

4 pages, 2 figures, and 1 table

References in corpus (2)

• Quantum computing with trapped ions
• Nonlinear coupling of continuous variables at the single quantum level

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