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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Reduced dynamics ： ウィキペディア英語版 Reduced dynamics In quantum mechanics, especially in the study of open quantum systems, reduced dynamics refers to the time evolution of a density matrix for a system coupled to an environment. Consider a system and environment initially in the state $\backslash rho\_\; (0)\; \backslash ,$ (which in general may be entangled) and undergoing unitary evolution given by $U\_t\; \backslash ,$. Then the reduced dynamics of the system alone is simply :$\backslash rho\_S\; (t)\; =\; \backslash mathrm\_E\; (\backslash rho\_\; (0)\; U\_t^\backslash dagger)$ If we assume that the mapping $\backslash rho\_S(0)\; \backslash mapsto\; \backslash rho\_S(t)$ is linear and completely positive, then the reduced dynamics can be represented by a quantum operation. This mean we can express it in the operator-sum form :$\backslash rho\_S\; =\; \backslash sum\_i\; F\_i\; \backslash rho\_S\; (0)\; F\_i^\backslash dagger$ where the $F\_i\; \backslash ,$ are operators on the Hilbert space of the system alone, and no reference is made to the environment. In particular, if the system and environment are initially in a product state $\backslash rho\_\; (0)\; =\; \backslash rho\_S\; (0)\; \backslash otimes\; \backslash rho\_E\; (0)$, it can be shown that the reduced dynamics are completely positive. However, the most general possible reduced dynamics are ''not'' completely positive.〔P. Pechukas, Reduced Dynamics Need Not Be Completely Positive. ''Physical Review Letters'' 73, 1060 (1994).〕 == Notes == 〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Reduced dynamics」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.