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Journal of Physics B Atomic Molecular and Optical Physics

Steady bright entangled light from an intracavity trapped ion under continuous-wave excitation

Hua-tang Tan, Gao-xiang Li, Shi-Yao Zhu

Published Jan 19, 2007• 2 citations
Publisher

Abstract

By considering vibrational heating of an intracavity trapped ion and cavity damping, we investigate the effects of decoherence on entanglement and two-mode squeezing of output light from the cavity when the ion is excited continuously. It is found that the bright output light with the steady robust entanglement can be always achieved even in the presence of decoherence. Moreover, the entangled output light may not exhibit two-mode squeezing because the heating of the vibrational mode has stronger limitation on the two-mode squeezing than on the entanglement of the output light.

DOI
10.1088/0953-4075/40/3/011

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By considering vibrational heating of an intracavity trapped ion and cavity damping, we investigate the effects of decoherence on entanglement and two-mode squeezing of output light from the cavity when the ion is excited continuously. It is found that the bright output light with the steady robust entanglement can be always achieved even in the presence of decoherence. Moreover, the entangled output light may not exhibit two-mode squeezing because the heating of the vibrational mode has stronger limitation on the two-mode squeezing than on the entanglement of the output light.
The dynamical behavior of the entanglement and the squeezing in the system of two ions trapped in a lossy optical cavity is discussed, in which the vibrational mode of the first ion is coupled to the cavity field via a linear-mixing interaction and the vibrational mode of the second ion is coupled to the cavity field via an effective parametric interaction, respectively. It is found that when the effective strength r1{r}_{1}r1​ of the coupling between the first ion and the cavity field is stronger than the strength r2{r}_{2}r2​ 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 r1<r2{r}_{1}<{r}_{2}r1​<r2​, 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 to generate two-mode squeezed vacuum motional state of an intracavity trapped ion by taking the advantage of the dissipation of the cavity mode. At the first step, the steady and pure two-mode motional entanglement between two motional degrees of the cold ion is obtained by engineering the couplings of both the motional modes of the ion to the cavity field. Based on the first step, a two-mode squeezed vacuum motional state is then generated by manipulating the phases of the external laser pulses incident on the ion.