Communications in Theoretical Physics

Preparation of Squeezed State and Entanglement State Between Vibrational Motion of Trapped Ion and Light

Zhong-Jie Wang

Published Dec 1, 2010• 1 citation

Abstract

Several schemes have been proposed to prepare two-mode squeezed state and entanglement state between motional states of a single trapped ion and light. Preparation of two-mode squeezed state is based on interaction of a trapped ion located in light cavity with cavity field. Preparation of entanglement state is based on interaction of a trapped ion located in light cavity with cavity field and a traveling wave light field.

DOI: 10.1088/0253-6102/54/6/26

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Communications in Theoretical Physics

Preparation of Squeezed State and Entanglement State Between Vibrational Motion of Trapped Ion and Light

Zhong-Jie Wang

Published Dec 1, 2010• 1 citation

Publisher

Abstract

DOI: 10.1088/0253-6102/54/6/26

Related papers

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{r}_{1}

of the coupling between the first ion and the cavity field is stronger than the strength

{r}_{2}

of the coupling between the second ion and the cavity field, the motional state of the two ions develops into a robust two-mode mixed Gaussian entangled state and the two-mode squeezing of phonons appears. But the entanglement between the cavity mode and the vibrational mode of the second ion can only happen periodically in a small time range. When

{r}_{1}<{r}_{2}

, only the entanglement between the two vibrational modes appears but the two-mode squeezing does not exist. And the entanglement between the cavity mode and the motional mode of the second ion can also take place in a small time range.

We propose a generation method of Bell-type states involving light and the vibrational motion of a single trapped ion. The trap itself is supposed to be placed inside a high-

Q

cavity sustaining a single mode, quantized electromagnetic field. Entangled light-motional states may be readily generated if a conditional measurement of the ion's internal electronic state is made after an appropriate interaction time and a suitable preparation of the initial state. We show that all four Bell states may be generated using different motional sidebands (either blue or red), as well as adequate ionic relative phases.