Position–Momentum Uncertainty Relation for an Open Macroscopic Quantum System
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- 作者：Hamid Reza Naeij ; Afshin Shafiee
- 关键词：Open macroscopic quantum system ; Harmonic environment ; Heisenberg uncertainty relation
- 刊名：Journal of Statistical Physics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：165
- 期：6
- 页码：1141-1152
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Statistical Physics and Dynamical Systems; Theoretical, Mathematical and Computational Physics; Physical Chemistry; Quantum Physics;
- 出版者：Springer US
- ISSN：1572-9613
- 卷排序：165
文摘
The macroscopic quantum systems are considered as a bridge between quantum and classical systems. In this study, we explore the validity of the original Heisenberg position–momentum uncertainty relation for a macroscopic harmonic oscillator interacting with environmental micro-particles. Our results show that, in the quasi-classical situation, the original uncertainty relation does not hold, when the number of particles in the environment is small. Nonetheless, increasing the environmental degrees of freedom removes the violation bounds in the regions of our investigation.