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腔诱导的冷原子在一维准周期性光晶格中的布洛赫振荡

Cavity-assisted Bloch Oscillation of Cold Atoms in a One-dimensional Quasi-periodic Optical Lattice

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摘要

本文研究了超冷原子与光腔的耦合系统。一团无相互作用的玻色-爱因斯坦凝聚体囚禁在法布里-珀罗光学谐振腔中,其中两束频率不同的驻波激光场被激发,形成了一个准周期性光晶格。同时,原子受到一个恒定外力作用,外力由原子本身重力提供。本文重点研究了腔场调控下的一维准周期性晶格中的腔动力学和原子动力学。采用平均场理论、绝热近似、襞裂算符等方法,对上述系统进行了数值模拟。结果显示,频率不同的两种晶格的叠加,使势阱的周期性得到破坏,腔和原子的动力学特征均显示出周期性被破坏的现象。此外,我们还从晶格能带的角度进行了分析和解释。原子质心运动与腔驻波场的耦合,使腔内探测光受到影响,这为探测原子动力学提供了有效途径。

Abstract

We study an ultracold atom-cavity coupling system.The model is described by a noninteracting Bose-Einstein condensate contained in a Fabry-Pérot optical resonator,in which two incommensurate standing-wave modes are excited and thus form a quasiperiodic optical lattice potential for the atoms.Constant external force which is provided by atoms’ gravity is exerted via tilting the cavity.Special emphasis is paid to the variation of the cavity dynamics and atomic Bloch oscillation modulated by the cavity light field.We also make a numerical simulation by meanfield theory,adiabatic approximation and split-operater,which shows disturbance to the periodicity of the dynamics of cavity and atoms,due to the superposition of two standing waves with different frequency which breaks the potential’s periodicity.Additionally,we make an analysis from the point of lattice band.By coupling the cavity standing-wave mode to the atomic centre-of-mass motion,the dynamics of intra-cavity photon number and transmission light are strongly affected by the corresponding dynamics,which can serve as a probe of the atomic dynamics.

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中图分类号:O5624

DOI:10.3788/jqo20182404.0501

基金项目:国家自然科学基金(11374003)

收稿日期:2018-05-14

修改稿日期:2018-05-25

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王嫣:华东师范大学 物理与材料科学学院,上海 200241
郑任菲:华东师范大学 物理与材料科学学院,上海 200241
张衡:华东师范大学 物理与材料科学学院,上海 200241
周鲁:华东师范大学 物理与材料科学学院,上海 200241

联系人作者:周鲁(lzhou@phy.ecnu.edu.cn)

备注:王嫣(1993-),女,江苏徐州人,硕士研究生,主要从事冷原子与量子光学方面的研究。

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引用该论文

WANG Yan,ZHENG Ren-fei,ZHANG Heng,ZHOU Lu. Cavity-assisted Bloch Oscillation of Cold Atoms in a One-dimensional Quasi-periodic Optical Lattice[J]. Acta Sinica Quantum Optica, 2018, 24(4): 436-442

王嫣,郑任菲,张衡,周鲁. 腔诱导的冷原子在一维准周期性光晶格中的布洛赫振荡[J]. 量子光学学报, 2018, 24(4): 436-442

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