Lecture on Cavity Optomechanics, by Florian Marquardt

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Time: Fridays, 16:00-17:30, seminar room 02.779 at the physics building B3 (top floor) in Staudtstr.

Note: The course starts 15:00 on Friday 12.6. and on Friday 17.6., and runs longer, to make up for the two Fridays where the lecture had to be skipped.

First lecture: Friday, April 24 2015

This course will approximately cover the following content (note: we may adjust this freely, depending on the interests of the audience)

  • 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, x^2 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

Literature:

  • Review "Cavity optomechanics”, Markus Aspelmeyer, Tobias Kippenberg, and Florian Marquardt, Reviews of Modern Physics 86, 1391 (2014)
  • Les Houches Lecture Notes (from lectures in 2011): Draft PDF, 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. Springer Website for this Book