Physics – Quantum Physics
Scientific paper
2007-04-02
Physics
Quantum Physics
Complete solution of a trapped ion in both strong and weak excitation regimes and beyond Lamb-Dicke limit. Also applicable to
Scientific paper
10.1088/0953-4075/40/11/002
We consider a single ion confined in a trap under radiation of two traveling waves of lasers. In the strong-excitation regime and without the restriction of Lamb-Dicke limit, the Hamiltonian of the system is similar to a driving Jaynes-Cummings model without rotating wave approximation (RWA). The approach we developed enables us to present a complete eigensolutions, which makes it available to compare with the solutions under the RWA. We find that, the ground state in our non-RWA solution is energically lower than the counterpart under the RWA. If we have the ion in the ground state, it is equivalent to a spin dependent force on the trapped ion. Discussion is made for the difference between the solutions with and without the RWA, and for the relevant experimental test, as well as for the possible application in quantum information processing.
Feng Mang
Liu Tao
Wang Ke-Lin
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