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      Dispersive Quantum Systems: a class of isolated non-time reversal quantum systems

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          Abstract

          A "dispersive quantum system" is a quantum system which is both isolated and non-time reversal invariant. This article presents precise definitions for those concepts and also a characterization of dispersive quantum systems within the class of completely positive Markovian quantum systems in finite dimension (through a homogeneous linear equation for the non-Hamiltonian part of the system's Liouvillian). To set the framework, the basic features of quantum mechanics are reviewed focusing on time evolution and also on the theory of completely positive Markovian quantum systems, including Kossakowski-Lindblad's standard form for Liouvillians. After those general considerations, I present a simple example of dispersive two-level quantum system and apply that to describe neutrino oscillation.

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          Review of Particle Physics

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            Unitarity of the Leptonic Mixing Matrix

            We determine the elements of the leptonic mixing matrix, without assuming unitarity, combining data from neutrino oscillation experiments and weak decays. To that end, we first develop a formalism for studying neutrino oscillations in vacuum and matter when the leptonic mixing matrix is not unitary. To be conservative, only three light neutrino species are considered, whose propagation is generically affected by non-unitary effects. Precision improvements within future facilities are discussed as well.
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              Understanding Hawking radiation in the framework of open quantum systems

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                Author and article information

                Journal
                02 September 2011
                Article
                1109.0437
                737b14a4-4bc9-4713-bc0a-48852929f7b6

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                23 pages, 2 figures
                quant-ph

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