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Modern Physics Letters B

MULTI-COMPONENT SQUEEZED COHERENT STATE FOR N TRAPPED IONS IN ANY POSITION OF A STANDING WAVE

FANG-FANG LUO, Wen‐Xing Yang, Jiaomei Li, HUA-LING SHU, Hua Guan, Kelin Gao

Published Jun 30, 2005• 0 citations
Publisher

Abstract

We proposed a scheme to generate a multi-component squeezed coherent states with arbitrary coefficients on a line in phase space for multiple trapped ions radiated by a single standing-wave laser whose carrier frequency is tuned to the ions transition. In the scheme each ion does not need to be exactly positioned at the node of the standing wave. Furthermore, our scheme may allow the generation of a multi-component squeezed coherent states with large mean phonon number in a fast way by choosing a suitable laser intensity, which is important in view of de-coherence processes.

DOI
10.1142/s0217984905008724

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We proposed a scheme to generate a multi-component squeezed coherent states with arbitrary coefficients on a line in phase space for multiple trapped ions radiated by a single standing-wave laser whose carrier frequency is tuned to the ions transition. In the scheme each ion does not need to be exactly positioned at the node of the standing wave. Furthermore, our scheme may allow the generation of a multi-component squeezed coherent states with large mean phonon number in a fast way by choosing a suitable laser intensity, which is important in view of de-coherence processes.
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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.