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中文摘要：
研究了人工规范势下三阱中的冷原子系统．首先给出了无相互作用的单粒子系统和多粒子系统的能谱性质：在单粒子系统中，随着等效磁场的变化，不同动量的本征态将轮流成为系统的基态；而对于多粒子系统，能级则由粒子数布居决定．在纯量子框架下讨论了系统的动力学演化，发现在排斥相互作用下隧穿和排斥相互作用比值r＇＊的从小到大变化可以导致系统从局域到非局域转变，转变的临界点是r＇＊=1，以及等效磁场引起的宏观旋转效应．讨论了无相互作用系统各格点粒子数布居的表述曲线（n2＋n3）．（n2-n3）的边界效应，并讨论了相互作用对这一效应的影响．
英文摘要：
We study bosonic atoms trapped in a triple-well with synthetic gauge field. The energy spectrum of the system can be tuned by an effective magnetic field. For a non-interacting system, eigen-states with different momenta will be the ground state with the magnetic field varying. In the full quantum scheme, we find the critical ratio between the tunneling and interaction strength for localization of system under the repulsive interaction. We also discuss the macro-rotation effect induced by the magnetic field and the boundary effect of the temporal evolution for a non-interacting system.
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