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Physical Review Letters

‘‘Dark’’ squeezed states of the motion of a trapped ion

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

Published Feb 1, 1993• 281 citations
Publisher

Abstract

We propose 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 ``dark resonance'' in the fluorescence emitted by the ion.

DOI
10.1103/physrevlett.70.556

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Physical Review A•May 1, 1997•54 citations
We propose 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 ``dark resonance'' in the fluorescence emitted by the ion.
(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 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.
We propose a scheme to generate mesoscopic superpositions of two squeezed states of motion using a highly anisotropic two-dimensional trap in which the ion's motion is tightly bound in the Y direction. In our scheme, the ion is driven multichromatically by three codirectional laser beams along the X axis, as well as a resonant laser beam along the Y axis. We show that, with the appropriate chosen initial states, the desired states of motion are realized in the X direction when the system reaches its steady state, which is indicated by the extinction of the fluorescence from the ion.