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理论物理通讯：英文版

Dynamics of Two-Level Trapped Ion in a Standing Wave Laser in Noncommutative Space

Yang, Xiao-Xue, Wu, Ying Ying

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

我们在一个站的波浪学习一个二水平的套住的离子的动力学电磁删除在二维(2D ) 军士在羔羊的变化空格—在旋转波浪近似下面的 Dicke 政体。我们为精力系列，精力 eigenstates，单一的时间进化操作符，原子倒置，和声子号码操作符获得明确的分析表达式。在原子倒置和平均声子数字明确地被显示出包含 spacenoncommutativity 的参数的信息的一般水准的 Rabi 摆动，倒塌，和苏醒，它基于套住的 i 的动力学使求婚的新计划清楚些到上测试非交换性。

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Dynamics of two-level ions in a laser beam

Luis G. Reyna, JORGE R. SOBEHART

Computers & Mathematics with Applications•Feb 1, 1993•6 citations
我们在一个站的波浪学习一个二水平的套住的离子的动力学电磁删除在二维(2D ) 军士在羔羊的变化空格—在旋转波浪近似下面的 Dicke 政体。我们为精力系列，精力 eigenstates，单一的时间进化操作符，原子倒置，和声子号码操作符获得明确的分析表达式。在原子倒置和平均声子数字明确地被显示出包含 spacenoncommutativity 的参数的信息的一般水准的 Rabi 摆动，倒塌，和苏醒，它基于套住的 i 的动力学使求婚的新计划清楚些到上测试非交换性。
We study the dynamics of a two-level trapped ion in a standing wave electromagnetic field in two-dimensional (2D) noncommutative spaces in the Lamb–Dicke regime under the rotating wave approximation. We obtain the explicit analytical expressions for the energy spectra, energy eigenstates, unitary time evolution operator, atomic inversion, and phonon number operators. The Rabi oscillations, the collapse, and revivals in the average atomic inversion and the average phonon number are explicitly shown to contain the information of the parameter of the space noncommutativity, which sheds light on proposing new schemes based on the dynamics of trapped ion to test the noncommutativity.
我们在与承受波浪的强壮的激光交往的一个单个套住的离子的一个古典异种诊所点附近学习量运动。我们构造量系统的一套准确协调状态并且从准确解决方案表明混乱的量签名能被在承受波浪的套住的离子和激光之间的断热的相互作用导致，在位置和动量的量期望值对应于古典主义地混乱的轨道的地方。在阶段空间的混乱区域被说明。及时，进化和指数地增加的海森堡不确定性被发现的精力十字路口和量回声。结果为控制不稳定的常规、混乱的运动建议一个理论计划。