The interplay of chaos and dissipation in driven quantum systems [Elektronische Ressource] / von Sigmund Kohler

The interplay of chaos and dissipation in driven quantum systems [Elektronische Ressource] / von Sigmund Kohler

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105 Pages
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The interplay of chaos and dissipationin driven quantum systemsZur Erlangung des akademischen Grades einesDoktors der Naturwissenschaftender Mathematisch-Naturwissenschaftlichen Fakult atder Universit at Augsburg vorgelegteDissertationvonDipl.-Phys. Sigmund KohlerausEhingen (Donau)Augsburg, im Februar 1999Erster Berichter: Prof. Dr. Peter H anggiZweiter Berichter: Prof. Dr. Thomas DittrichTag der mundlic hen Prufung: 5. M arz 1999Contents1 Introduction 12 Driven quantum systems and Floquet theory 52.1 Discrete time-translation and Floquet ansatz . . . . . . . . . . . . . . 52.2 Composite Hilbert space . . . . . . . . . . . . . . . . . . . . . . . . . 72.3 Properties of Floquet states . . . . . . . . . . . . . . . . . . . . . . . 92.4 The propagator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112.5 Numerical computation of Floquet states . . . . . . . . . . . . . . . . 112.5.1 Floquet-matrix methods . . . . . . . . . . . . . . . . . . . . . 122.5.2 Propagator methods . . . . . . . . . . . . . . . . . . . . . . . 123 Quantum dissipation and Markov approximation 153.1 The system-bath model . . . . . . . . . . . . . . . . . . . . . . . . . . 153.2 Quantum Langevin equation . . . . . . . . . . . . . . . . . . . . . . . 163.3 In uence functional . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183.4 Markovian master equation . . . . . . . . . . . . . . . . . . . . . . . 204 Driving and dissipation: Floquet-Markov theory 234.

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Published 01 January 2006
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