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Physical Review Letters

Even and Odd Coherent States of the Motion of a Trapped Ion

R. L. de Matos Filho, W. Vogel

Published Jan 22, 1996• 240 citations
Publisher

Abstract

We propose a scheme for generating even and odd coherent states of the motion of a trapped ion via laser excitation of two vibronic transitions. These quantum superposition states emerge from the long-time dynamics, when the ion decouples from the laser fields and remains in a pure state given by the product of the electronic ground state with a quantum superposition of coherent states of the vibrational motion.

DOI
10.1103/physrevlett.76.608

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We propose a scheme for generating even and odd coherent states of the motion of a trapped ion via laser excitation of two vibronic transitions. These quantum superposition states emerge from the long-time dynamics, when the ion decouples from the laser fields and remains in a pure state given by the product of the electronic ground state with a quantum superposition of coherent states of the vibrational motion.
We propose a scheme for generating vibrational pair coherent states of the motion of an ion in a two-dimensional trap. In our scheme, the trapped ion is excited bichromatically by three laser beams along different directions in the $X\ensuremath{-}Y$ plane of the ion trap. We show that if the initial vibrational state is given by a two-mode Fock state, the final steady state, indicated by the extinction of the fluorescence emitted by the ion, is a pure state. The motional state of the ion in the equilibrium realizes that of the highly correlated pair coherent state.