Generation of entanglement and squeezing in the system of two ions trapped in a cavity

Journal Article · Wed Jun 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.063817· OSTI ID:20717978

Gaoxiang, Li; Shaoping, Wu; Guangming, Huang ^[1]

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1. Department of Physics, Huazhong Normal University, Wuhan 430079 (China)

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 r{sub 1} of the coupling between the first ion and the cavity field is stronger than the strength r{sub 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{sub 1}<r{sub 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.

• OSTI ID: 20717978
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
COUPLING
ENERGY LEVELS
IONS
PERIODICITY
PHONONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
TRAPPING
TRAPS