Asymptotic Dynamics of Open Quantum Systems and Modular Theory

• URL: http://arxiv.org/abs/2210.14548v2
• Date: Tue, 12 Dec 2023 09:47:53 GMT
• Title: Asymptotic Dynamics of Open Quantum Systems and Modular Theory
• Authors: Daniele Amato, Paolo Facchi and Arturo Konderak
• Abstract summary: In this Article, several aspects of the dynamics of finite-dimensional open quantum systems are explored. We show the connection between the map and the modular theory by Tomita and Takesaki.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this Article, several aspects of the asymptotic dynamics of finite-dimensional open quantum systems are explored. First, after recalling a structure theorem for the peripheral map, we discuss sufficient conditions and a characterization for its unitarity. Interestingly, this is not always guaranteed due to the presence of permutations in the structure of the asymptotic map. Then, we show the connection between the asymptotic map and the modular theory by Tomita and Takesaki.

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