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Entangled coherent states and squeezing in N trapped ions

E. Solano, De Matos-Filho, R L, Nicim Zagury

Published Jan 1, 2002• 13 citations
OpenAlex

Abstract

We consider a resonant bichromatic excitation of N trapped ions that generates displacement and squeezing in their collective motion conditioned to their ionic internal state, producing eventually Schrodinger cat states and entangled squeezing. Furthermore, we study the case of tetrachromatic illumination for producing the so-called entangled coherent states in two motional normal modes.

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Entangled coherent states and squeezing in N trapped ions

E Solano, R L de Matos Filho, N Zagury

We consider a resonant bichromatic excitation of N trapped ions that generates displacement and squeezing in their collective motion conditioned to their ionic internal state, producing eventually Schrödinger cat states and entangled squeezing. Furthermore, we study the case of tetrachromatic illumination for producing the so-called entangled coherent states in two motional normal modes.

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Generation of Multicomponent Motional Coherent and Squeezed Coherent States of N Trapped Ions by a Dispersive Interaction

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Following the recent proposal by Solano E et al. [Phys. Rev. Lett. 87 (2001) 060402] a procedure is proposed to generate arbitrary discrete multicomponent motional coherent and squeezed coherent states of N trapped ions by additionally using a dispersive bichromatic interaction in a long-living and fast way. In this procedure, two lasers in the Raman configuration are tuned quasiresonant and resonant with N two-level ions under different conditions, respectively. Furthermore, we show how the idea can be used for the generation of two-mode SU(2) Schrödinger cat states for the vibrational motion of a single ion trapped in a two-dimensional harmonic potential.

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Following the recent proposal by Solano E et al. [Phys. Rev. Left. 87 (2001) 060402] a procedure is proposed to generate arbitrary discrete multicomponent motional coherent and squeezed coherent states of N trapped ions by additionally using a dispersive bichromatic interaction in a long-living and fast way. In this procedure, two lasers in the Raman configuration are tuned quasiresonant and resonant with N two-level ions under different conditions, respectively. Furthermore, we show how the idea can be used for the generation of two-mode SU(2) Schrdinger cat states for the vibrational motion of a single ion trapped in a two-dimensional harmonic potential.

Chinese Physics Letters•Jan 1, 2004•0 citations

Nonclassical properties and generation of excited entangled coherent states of motion of a trapped ion

Zhongjie Wang

We studied the two-mode squeezing of excited entangled coherent states and found that the deeper the two-mode squeezing, the larger the excitation number. In the end, we proposed a new method for preparing two-mode excited entangled coherent states of vibrational motion of a trapped ion by applying the interaction of a single two-mode trapped ion with many traveling wave light fields with different frequencies.

Physica Scripta•Jan 28, 2011•1 citation
We consider a resonant bichromatic excitation of N trapped ions that generates displacement and squeezing in their collective motion conditioned to their ionic internal state, producing eventually Schrodinger cat states and entangled squeezing. Furthermore, we study the case of tetrachromatic illumination for producing the so-called entangled coherent states in two motional normal modes.
Following the recent proposal by Solano E et al. [Phys. Rev. Lett. 87 (2001) 060402] a procedure is proposed to generate arbitrary discrete multicomponent motional coherent and squeezed coherent states of N trapped ions by additionally using a dispersive bichromatic interaction in a long-living and fast way. In this procedure, two lasers in the Raman configuration are tuned quasiresonant and resonant with N two-level ions under different conditions, respectively. Furthermore, we show how the idea can be used for the generation of two-mode SU(2) Schrödinger cat states for the vibrational motion of a single ion trapped in a two-dimensional harmonic potential.
Following the recent proposal by Solano E et al. [Phys. Rev. Left. 87 (2001) 060402] a procedure is proposed to generate arbitrary discrete multicomponent motional coherent and squeezed coherent states of N trapped ions by additionally using a dispersive bichromatic interaction in a long-living and fast way. In this procedure, two lasers in the Raman configuration are tuned quasiresonant and resonant with N two-level ions under different conditions, respectively. Furthermore, we show how the idea can be used for the generation of two-mode SU(2) Schrdinger cat states for the vibrational motion of a single ion trapped in a two-dimensional harmonic potential.