Abstract
It is shown that two trapped ions interacting with laser beams resonant to the first red side-band of center-of-mass mode, in Lamb–Dicke regime and under rotating wave approximation, is described by a Jaynes–Cummings model. For the initial condition that the motional state of center-of-mass mode is in vacuum state and the internal state is prepared in a coherent superposition of states, coherence and squeezing for the vibratile motion of center-of-mass mode are discussed, particularly, a “weak” coherent state and a “weak” squeezed vacuum state are obtained. Collapse and revival are also observed in this type of initial condition.
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