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Bulletin of the American Physical Society

Preparation of Fock states and squeezed states of motion in ion traps

J. I. Cirac, R. Blatt, A. S. Parkins, P. Zoller

Published May 1, 1993• 0 citations
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Abstract

(1) A technique for the preparation of Fock states of a harmonic oscillator strongly coupled to a single two-level atomic transition is proposed due to the observation of quantum jumps. Examples are taken from the fields of ion trapping and cavity QED, where number states of he quantized atomic motion and photon number states may be prepared respectively. (2) We discuss a scheme for preparing coherent squeezed states of motion in an ion trap based on the multichromatic excitation of a trapped ion by standing- and traveling-wave light fields. The squeezed state is produced when the beat frequency between two standing-wave light fields is equal to twice the trap frequency, and is indicated by a {open_quotes}dark resonance{close_quotes} in the fluorescence emitted by the ion.

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(1) A technique for the preparation of Fock states of a harmonic oscillator strongly coupled to a single two-level atomic transition is proposed due to the observation of quantum jumps. Examples are taken from the fields of ion trapping and cavity QED, where number states of he quantized atomic motion and photon number states may be prepared respectively. (2) We discuss a scheme for preparing coherent squeezed states of motion in an ion trap based on the multichromatic excitation of a trapped ion by standing- and traveling-wave light fields. The squeezed state is produced when the beat frequency between two standing-wave light fields is equal to twice the trap frequency, and is indicated by a {open_quotes}dark resonance{close_quotes} in the fluorescence emitted by the ion.
A single ion trapped in a harmonic potential and laser cooled at the node of a standing wave can be described in terms of the Jaynes-Cummings Hamiltonian known in quantum optics. Similar to nonclassical states of light we propose to prepare nonclassical states of the ion motion in a harmonic trap. In particular, several schemes for the preparation of Fock states are presented, and techniques for the preparation of squeezed states and coherent states of the ion motion are indicated. For an observation of these nonclassical states we propose to measure quantum collapse and revival in the population inversion of a single trapped ion.
A new method to prepare dark squeezed states of the motion of a trapped ion that interacts with a standing wave light field has been proposed.This method is based on modulation of the phase of the standing wave field.The dependence of the squeezed amplitude on the modulation amplitude is investigated.Choosing the appropriate modulating amplitude,we can produce the best squeezed vibrational state of the ion and find that its generation is companied by cancellation of the emitted fluorescence.In addition,an experiment configuration about its preparation is proposed and discussed.