Nonlinear coupling of continuous variables at the single quantum level

Details Nonlinear coupling of continuous variables at the single quantum level Nonlinear coupling of continuous variables at the single quantum level

2007-05-06

arxiv.org/abs/0705.0788v1

Phys. Rev. A 77, 040302(R) (2008)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.77.040302

We experimentally investigate nonlinear couplings between vibrational modes of strings of cold ions stored in linear ion traps. The nonlinearity is caused by the ions' Coulomb interaction and gives rise to a Kerr-type interaction Hamiltonian H = n_r*n_s, where n_r,n_s are phonon number operators of two interacting vibrational modes. We precisely measure the resulting oscillation frequency shift and observe a collapse and revival of the contrast in a Ramsey experiment. Implications for ion trap experiments aiming at high-fidelity quantum gate operations are discussed.

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