Dynamics of driven optomechanical systems near the semiclassical limit

Medientyp: E-Book; Hochschulschrift

Titel: Dynamics of driven optomechanical systems near the semiclassical limit

Beteiligte: Wurl, Christian [Verfasser:in]; Fehske, Holger [Akademische:r Betreuer:in]; Holthaus, Martin [Akademische:r Betreuer:in]

Körperschaft: Universität Greifswald

Erschienen: Greifswald, 10. Dezember 2018

Umfang: 1 Online-Ressource (PDF-Datei: 79 Seiten, 17471 Kilobyte); Illustrationen (teilweise farbig), Diagramme (teilweise farbig)

Sprache: Englisch

Identifikator:

RVK-Notation: UH 5600 : Allgemeines

Schlagwörter: Optomechanik > Graphen > Korrespondenzprinzip > Master-Gleichung > Nichtlineare Dynamik > Quantenoptik > Quantenpunkt > Relativistische Quantenmechanik > Streutheorie > Zitterbewegung

Entstehung:

Hochschulschrift: Dissertation, Mathematisch-Naturwissenschaftliche Fakultät der Universität Greifswald, 2019

Anmerkungen: Literaturverzeichnis: Seite 67-71

Beschreibung: Graphen, Korrespondenzprinzip, Master-Gleichung, Nichtlineare Dynamik, Optomechanik, Quantenoptik, Quantenpunkt, Relativistische Quantenmechanik, Streutheorie, Zitterbewegung

Optomechanical (om) systems are characterized by their nonlinear light-matter interaction. This is responsible for unique dynamic properties and allows the detection of a variety of classical and quantum mechanical phenomena on a microscopic as well as on a macroscopic scale. In this work we have studied the dynamic behavior of two laser-driven om systems, the single om cell ("cavity optomechanics / membrane-in-the-middle setup") and a two-dimensional hexagonal array of these cells ("om graphene"). The first case was motivated by the possibility to detect the transition from quantum mechanics to classical mechanics directly on the basis of the dynamic behavior. For this we focus on multistability effects of the optical and mechanical degrees of freedom, that are modeled by harmonic oscillators. Our description is based on the quantum optical master equation, which takes into account the environmental interaction assuming a vanishing temperature. As a consequence of decoherence, the dynamics occur near the semiclassical limit, i.e. it is characterized by quantum fluctuations. The quantum-to-classical transition is realized formally by rescaling the equations of motion. In the classical limit, quantum fluctuations disappear and the mean field equations were evaluated by analytical and numerical methods. We found that classical multistability is characterized by stationary signatures on the route to chaos, as well as by the coexistence of single-periodic orbits for the ...

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