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中国物理B：英文版

k-quantum nonlinear Jaynes－Cummings model in two trapped ions

曾浩生, 匡乐满, 高克林

Published Jun 13, 2005• 0 citations
Publisher

Abstract

We have obtained a k-quantum nonlinear Jaynes-Cummings model for two trapped ions interacting with laser beams resonant to the kth red side-band of the centre-of-mass mode,far from the Lamb-Dicke regime.The exact analytic solution shows the existence of quantum collapses and revivals of the occupation of two atoms.
DOI
10.1088/1009-1963/11/5/014

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Starting from the Jaynes-Cummings (J-C) model describing the interaction of a trapped ion with a standing-wave laser field, we derive the interaction Hamiltonian on the nonlinear J-C model of the trapped ion excitated resonantly with 1-quantum vibrational mode. After solving the time-dependent states of this model, we study the evolution of population inversion for the ion numerically. It is shown that the period of the quantum collapse and revival of the population inversionis related with the Lamb-Dick parameter and the position of the ion in the standing-wave laser field. With the increasing of the parameter, it will decrease the period of the collapse and revival. When moving the ion from the node of the standing-wave laser to the antinode, the period of the collapse and revival becomes longer.