Postselected quantum systems and their time evolution in non-equilibrium thermo-field dynamics

详细信息    查看全文

• 作者：Masashi Ban
• 刊名：Quantum Studies: Mathematics and Foundations
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：3
• 期：3
• 页码：203-220
• 全文大小：673 KB
• 刊物类别：Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History
• 刊物主题：Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History and Philosophical Foundations of Physics;
• 出版者：Springer International Publishing
• ISSN：2196-5617
• 卷排序：3

文摘

A postselected quantum system is studied within the framework of non-equilibrium thermo-field dynamics, where an extended Hilbert space is used for describing a quantum system. A two-operator state defined on the extended Hilbert space is introduced to describe a property of a postselected quantum system. By imposing some conditions on the two-operator state, it reduces to the previously introduced quantities such as the two-vector state, the W-operator, the connection state and the 2-time quantum state. The correlation included in the two-operator state is clarified. Furthermore, time evolution of a postselected quantum system influenced by a Markovian environment is investigated. The linear response to an external field is also discussed. The results show the symmetric property of a postselected quantum system, even if time evolution is not unitary.KeywordsNon-equilibrium thermo-field dynamicsPostselection Conditional probabilityMarkovian time evolution