# Lecture on Cavity Optomechanics, by Florian Marquardt

### From Institute for Theoretical Physics II / University of Erlangen-Nuremberg

**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