对称 - 合数 - 导数 - 费舍尔关于运动不确定性关系的信息
Satoshi Nakajima1, Yasuhiro Utsumi1
1Department of Physics Engineering, Faculty of Engineering, Mie University, Tsu, Mie 514-8507, Japan.
Physical review. E
|December 20, 2023
概括
我们为对称对数导数 (SLD) 在开放量子系统中获得了费舍尔信息的新表达式,这对于量子运动不确定性关系 (KUR) 和量子速度限制至关重要.
科学领域:
- 量子信息理论 量子信息理论
- 开放的量子系统 开放的量子系统
背景情况:
- 动力不确定性关系 (KUR) 对于理解量子系统动力学至关重要.
- 量子轨迹的费舍尔信息在KURs中发挥着关键作用.
研究的目的:
- 为了研究对称对数导数 (SLD) 在开放量子系统中KURs的费舍尔信息.
- 为了获得SLD费舍尔信息的简洁表达式和界限.
主要方法:
- 使用GKSL量子总方程,有或没有详细平衡.
- 导出SLD费舍尔信息的双时间积分表达式.
- 解决合的第一阶微分方程.
主要成果:
- 对于有限时间和任意初始状态的 SLD 费舍尔信息,我们得出了一个简洁的表达式.
- 建立了一个简单的量子轨迹费舍尔信息的下界.
- 突出了SLD费舍尔信息与基于Mandelstam-Tamm的速度限制之间的联系.
结论:
- 衍生出来的 SLD 费舍尔信息表达式为分析量子力学提供了一种可计算的方法.
- 该研究提供了关于费舍尔信息在开放量子系统中的局限性和应用的新见解.
- 对于布雷斯角度和动态活动,观察到与经典系统的对比.
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