顾卓成,刘昊迪,衣学喜

• 1:东北师范大学量子科学中心
• 2:西安市远东第二中学

摘要(Abstract)：

因其时间上的周期性，周期驱动的量子系统在很多方面都展现出了奇异的物理性质，如绝热演化和时间晶体。在简单物理系统中展示这些奇异性质不仅可以加深对量子力学的理解，还可以培养学生的科研兴趣。本文展示当一维无限深方势阱的边界发生周期变化时，处于势阱中粒子的时间演化规律。研究考虑了绝热演化与非绝热演化两种情况，通过解析分析和数值模拟，求解了绝热和非绝热两种情况下，系统在不同参数以及边界运动模式下基态的占据几率。通过求解系统能量期望值和能量偏离值，给出了边界的振动频率和强度对粒子处于不同能级概率的影响。结果表明：相同速度的势阱扩张和收缩运动对阱中粒子的时间演化影响不同；不同的阱壁周期运动模式对粒子的时间演化影响也不同。本文还对数值方法给出的结果进行了简单的解释。

关键词(KeyWords)： 一维无限深方势阱;绝热演化;周期驱动

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(12175033);; 吉林省高等教育教学改革研究课题(20224BRZTUD001Y和20213F2T8UF001V)资助

作者(Author): 顾卓成,刘昊迪,衣学喜

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