The laser field interacting with single trapped ion in a carrier excitation frame in the presence of an external field is investigated. Detailed analytical expressions are given, taking into account carrier excitation configurations. We study the evolution of the population inversion, fidelity, ion-field entanglement, Fisher information and the geometric phase. The results indicate the influence of the external field on the information quantities to describe some physical phenomena. The relation between the population inversion, fidelity, von Neumann entropy, Fisher information, and geometric phase are explored during the time evolution.

中文翻译：

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载流子激发激光场中捕获离子的信息量化器

研究了在存在外场的情况下与载流子激发框架中的单个捕获离子相互作用的激光场。给出了详细的解析表达式，并考虑了载流子激励配置。我们研究了粒子数反转、保真度、离子场纠缠、Fisher 信息和几何相位的演变。结果表明外场对描述一些物理现象的信息量的影响。在时间演化过程中探索了种群反转、保真度、冯诺依曼熵、Fisher信息和几何相位之间的关系。