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Chinese Physics Letters

Test of the Symmetrization Postulate for Phonons in an Ion Trap

Zheng Shi-Biao, Xiwen Zhu

Published Jun 1, 2000• 3 citations
Publisher

Abstract

We propose a scheme for testing the symmetrization postulate (SP) for phonons in an ion trap. In the scheme a two-level ion is trapped in a harmonic potential and driven by a laser beam tuned to the carrier. The violation of the SP is manifested by the probability that the ion makes a transition from the ground state to the excited state after an appropriate interaction time.

DOI
10.1088/0256-307x/17/6/001

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Journal of Atomic and Molecular Physics•Jan 1, 2008•0 citations
We propose a scheme for testing the symmetrization postulate (SP) for phonons in an ion trap. In the scheme a two-level ion is trapped in a harmonic potential and driven by a laser beam tuned to the carrier. The violation of the SP is manifested by the probability that the ion makes a transition from the ground state to the excited state after an appropriate interaction time.
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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.