Theory of Cross Phase Modulation for the Vibrational Modes of Trapped Ions
classification
🪐 quant-ph
keywords
couplingionsnonlineartrappedvibrationalagreementanalyticalanalyze
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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.
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