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Physical Review A

Generation of nonclassical states of the center-of-mass motion of ions by dispersive coupling

J. C. Retamal, Nicim Zagury

Published Mar 1, 1997• 19 citations
Publisher

Abstract

We consider a dispersive effective coupling between the internal energy electronic levels of an ion in a trap with its own center-of-mass motion. By using a procedure similar to the Ramsey oscillatory method, a quantum nondemolition experiment of the center-of-mass vibration population number is proposed. A procedure to generate squeezed states and Schr\"odinger-cat-like states that are superpositions of squeezed states is also suggested.

DOI
10.1103/physreva.55.2387

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We consider a dispersive effective coupling between the internal energy electronic levels of an ion in a trap with its own center-of-mass motion. By using a procedure similar to the Ramsey oscillatory method, a quantum nondemolition experiment of the center-of-mass vibration population number is proposed. A procedure to generate squeezed states and Schr"odinger-cat-like states that are superpositions of squeezed states is also suggested.
We discuss a simple implementation of a quantum nondemolition measurement of the vibronic state of a trapped ion. This scheme allows the production of Fock states associated to the center-of-mass motion and the determination of the population distribution of the trap levels, and is based on the vibronic level dependence of the frequency of Rabi oscillations between two internal states of the ion, induced by a resonant carrier field. The same scheme can be used to produce a Schr\"odinger-cat-like state after a single interaction between the trapped ion and the carrier pulse, followed by the detection of the ionic internal state. \textcopyright{} 1996 The American Physical Society.
We consider a trapped ion with a quantized center-of-mass motion in 2D trap potential. With external laser fields the effective (non)linear coupling of two orthogonal vibrational modes can be established via stimulated Raman transition. Nonclassical vibrational states such as squeezed states or two-mode entangled states (Schroedinger cat-like states) can be generated. When the vibrational modes are entangled with internal energy levels the Greenberger-Horne-Zeilinger (GHZ) states can be prepared.