Physikalisches Wahlfach: Theory of Cavity Optomechanics (PW)5 ECTS
(englische Bezeichnung: Elective Course in Physics: Theory of Cavity Optomechanics)
(Prüfungsordnungsmodul: Materials physics elective course)

Lehrveranstaltungen:

• • Theory of Cavity Quantum Optomechanics
    (Vorlesung, 2 SWS, Florian Marquardt, Fr, 16:00 - 18:00, SR 02.779)

Inhalt:

Contents:

• Radiation Forces; General setting, general optomechanical Hamiltonian, many examples; Outlook: Possible Applications; Wider context: NEMS, Ions, etc.

• Example: Photons and Phonons Scattering; Overview: Linearized optomechanical Hamiltonian, various regimes

• Mechanical resonators; Optical resonators (including Input-Output Formalism from quantum optics)

• Linearization, more slowly (rotating frame, shift); Eqs. of motion after linearization

• Changed properties of mechanics and light; Static properties: optical potential, bistability; Dynamical properties: Optical Spring / Optomechanical Damping Rate

• Strong Coupling; Optomech. Induced Transparency / amplification

• Cooling

• Classical nonlinear dynamics: Instability, Attractor diagram, Chaotic dynamics

• More detailed overview: Experimental Systems

• Measurement: weak measurements (including standard quantum limit SQL), Force/Acceleration msmts, feedback cooling, pulsed msmts, single-quadrature msmts, x² msmt

• Quantum Optomechanics: Manipulation of mechanics, Manipulation of light, Optomechanical entanglement, Quantum protocols, Nonlinear quantum optomechanics

• Foundational Aspects

• Multimode Optomechanics: Optomechanical Arrays, Bandstructure, Slow Light, Photon Shuttle, Magnetic Fields, Topological Phases, Synchronization, Enhanced single-photon interaction

• Hybrid Systems, Coupling to Qubits, Various other applications
  

Lernziele und Kompetenzen:

Learning goals and competences:
Students

• explain the relevant topics of the lecture

• apply the methods to specific examples

Literatur:

Literature:

• Review "Cavity optomechanics”, Markus Aspelmeyer, Tobias Kippenberg, and Florian Marquardt, Reviews of Modern Physics 86, 1391 (2014)

• Les Houches Lecture Notes “Quantum Optomechanics” (from lectures in 2011): A chapter in the book Quantum Machines: Measurement and Control of Engineered Quantum Systems, eds. Michel Devoret, Benjamin Huard, Robert Schoelkopf, and Leticia F. Cugliandolo, Oxford University Press 2014

• Book: Cavity Optomechanics: Nano- and Micromechanical Resonators Interacting with Light, Editors: Markus Aspelmeyer, Tobias J. Kippenberg, Florian Marquardt, Springer 2014.
  

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Materials Physics (Master of Science)
   (Po-Vers. 2015s | Master examination | Materials physics elective course)

Studien-/Prüfungsleistungen:

Physikalisches Wahlfach: Theory of Cavity Optomechanics (Prüfungsnummer: 378629)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 30, benotet

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: SS 2015

1. Prüfer:

Florian Marquardt