Theory of cross phase modulation for the vibrational modes of trapped ions

2008/10/08 by X. Rebecca Nie, Xiaomin Nie, C. F. Roos +2
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1016/j.physleta.2008.11.045

published as Phys. Lett. A 373, 422 (2009) · 4 pages, 2 figures, and 1 table

arxiv created 2008/10/08 · openalex publication_date 2008/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Principles of Quantum Mechanics
• Nonlinear coupling of continuous variables at the single quantum level
• Measurement of Conditional Phase Shifts for Quantum Logic