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Acta Sinica Quantum Optica

Generation of Squeezed Number States of theMotion of a Trapped Ion

Zheng Shi-Biao

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

We propose a scheme for the generation of squeezed number states of the center-of-mass motion of a trapped ion. In the scheme the ion is excited by two laser fields tuned to the first lower and higher vibrational sidebands, and then by one laser tuned to the ion transition in an alternative way. Finally, the system is prepared in the state given by the product of the motional squeezed number state with the ground electronic state.

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We propose a scheme for the generation of squeezed number states of the center-of-mass motion of a trapped ion. In the scheme the ion is excited by two laser fields tuned to the first lower and higher vibrational sidebands, and then by one laser tuned to the ion transition in an alternative way. Finally, the system is prepared in the state given by the product of the motional squeezed number state with the ground electronic state.
We present a scheme to generate an arbitrary two-dimensional quantum state of motion of a trapped ion. This proposal is based on a sequence of laser pulses, which are tuned appropriately to control transitions on the sidebands of two modes of vibration. Not more than (M+1)(N+1)(M+1)(N+1)(M+1)(N+1) laser pulses are needed to generate a pure state with a phonon number limit M and N.
A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than (M+2)(N+1)(M+2)(N+1)(M+2)(N+1) operations.