Steady states of quantum Brownian motion and decomposition of quantum states into ensembles of Gaussian packets having a uniform position variance
文献类型：期刊论文
| 作者 | Gu, Yan |
| 刊名 | PHYSICA SCRIPTA
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 94期号:11页码:7 |
| 关键词 | quantum Brownian motion quantum characteristic function decomposition of quantum state into ensemble of Gaussian packets quantum-to-classical transition |
| ISSN号 | 0031-8949 |
| DOI | 10.1088/1402-4896/ab2cc1 |
| 通讯作者 | Gu, Yan(ygu@ustc.edu.cu) |
| 英文摘要 | After replacing the reduced density matrix of a quantum harmonic oscillator linearly coupled to a thermal bath by its 'characteristic function' (a non-negative definite function defined on the Heisenberg-Weyl group), the master equation of the reduced density matrix can be transformed into a first-order linear partial differential equation of the characteristic function. We derive stationary solutions for the Caldeira-Leggett (CL) master equation as well as for the late-time Hu-Paz-Zhang master equation, and examine the positivity problem for these solutions. In order to illustrate to what extent classical properties of quantum states of the damping oscillator emerge dynamically due to coupling to the environment, we discuss the problem of how and under what conditions a steady state predicted by the CL master equation could be expressed as a statistical mixture of Gaussian packets having a uniform position variance. Similar studies are carried out for the solutions of a Lindblad-form generalization of the CL master equation, where the positivity problem is certainly absent. Our results show that in the low-temperature regime the steady states predicted by the Lindblad-type master equation may depend on the damping strength of the bath and there are cases which may not show Gaussian-packet decomposition. |
| WOS关键词 | EQUATION ; DYNAMICS |
| 资助项目 | National Natural Science Foundation of China[11775210] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000481699600005 |
| 出版者 | IOP PUBLISHING LTD |
| 资助机构 | National Natural Science Foundation of China |
| 源URL | [http://119.78.100.186/handle/113462/132878]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Gu, Yan |
| 作者单位 | Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gu, Yan. Steady states of quantum Brownian motion and decomposition of quantum states into ensembles of Gaussian packets having a uniform position variance[J]. PHYSICA SCRIPTA,2019,94(11):7. |
| APA | Gu, Yan.(2019).Steady states of quantum Brownian motion and decomposition of quantum states into ensembles of Gaussian packets having a uniform position variance.PHYSICA SCRIPTA,94(11),7. |
| MLA | Gu, Yan."Steady states of quantum Brownian motion and decomposition of quantum states into ensembles of Gaussian packets having a uniform position variance".PHYSICA SCRIPTA 94.11(2019):7. |
入库方式： OAI收割
来源：近代物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。