论文标题

在参数驾驶量子系统中,捷径对绝热性的谎言转换

Lie transformation on shortcut to adiabaticity in parametric driving quantum system

论文作者

Cheng, Jian-jian, Du, Yao, Zhang, Lin

论文摘要

绝热性(STA)的快捷方式是产生相同最终状态的速度方法,该状态将导致绝热,无限缓慢的过程。通过引入必须进行的反灭绝热领域或找到拥有动态不变性的新的汉密尔顿人,可以将系统限制为绝热路径,从而开发了两种针对工程师的典型技术。在本文中,引入了一种一致的方法,将上述两种技术与统一的Lie代数框架联系起来,该框架整齐地消除了在过渡驾驶方法中找到瞬时状态的要求,以及在基于不变的逆工程方法中的不变量化。借助于这种方法,可以简单地实现用于不同潜在扩展的一般STA方案。

Shortcut to adiabaticity (STA) is a speed way to produce the same final state that would result in an adiabatic, infinitely slow process. Two typical techniques to engineer STA are developed by either introducing auxiliary counterdiabatic fields or finding new Hamiltonians that own dynamical invariants to constraint the system into the adiabatic paths. In this paper, a consistent method is introduced to naturally connect the above two techniques with a unified Lie algebraic framework, which neatly removes the requirements of finding instantaneous states in the transitionless driving method and the invariant quantities in the invariant-based inverse engineering approach. The general STA schemes for different potential expansions are concisely achieved with the aid of this method.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源