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Journal of Optics B Quantum and Semiclassical Optics

Generation of circular states and Fock states in a trapped ion

Wagner Duarte José, Salomon Sylvain Mizrahi

Published May 24, 2000• 29 citations
Publisher

Abstract

We propose three schemes to engineer a circular state (superposition of the harmonic oscillator coherent states on a circle in phase space) for the centre-of-mass motion of a trapped ion. We analyse the necessary duration of each laser pulse for constructing such states, and calculate the probability of obtaining the subtle superposition. We also show that it is possible to engineer Fock number states as a result of the interference effects in phase space of the coherent states superposition.

DOI
10.1088/1464-4266/2/3/314

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We propose three schemes to engineer a circular state (superposition of the harmonic oscillator coherent states on a circle in phase space) for the centre-of-mass motion of a trapped ion. We analyse the necessary duration of each laser pulse for constructing such states, and calculate the probability of obtaining the subtle superposition. We also show that it is possible to engineer Fock number states as a result of the interference effects in phase space of the coherent states superposition.
We propose three schemes to engineer 2^M and M+1 circular states for the motion of the center of mass of a trapped ion, MMM being the number of laser pulses. Since the ion is subjected to several laser pulses, we analyze the necessary duration of each one for generating the circular states, and from these, the Fock states and superposition of two-Fock states. We also calculate the probability for obtaining the required states.