260103 VU Advanced Methods in quantum optomechanics: from atoms to solids (2024S)

This course aims to explore the field of quantum optomechanics, part of the broader field of atomic, molecular, and optical (AMO) physics. Levitated optomechanics is at the forefront of these fields, therefore emphasis will be placed on optically trapped objects (atoms and solid-state objects). The lectures will cover fundamental concepts of quantum models of light-matter interaction and give students a firm grasp of the subject. In-depth calculations during the lectures will further deepen understanding of the most important concepts.
We will cover the following topics in the lectures:
1 Optical trapping: optical tweezers, gradient, and scattering force on dielectric nanoparticles and atoms
2 Semi-classical dynamics of systems interacting with light
3 Quantization of harmonic oscillators: input-output formalism in quantum optics, thermal bath model for quantum harmonic oscillator, decoherence
4 Quantum description of light-matter interaction
5 Optomechanics with atoms and levitated nanoparticles
6 Multimode systems: reciprocal and non-reciprocal coupling, non-Hermitian physics
7 Hybrid optomechanical systems: spins and motion
8 Quantum correlations: entanglement, squeezing, sub-SQL detection
9 Force sensing and exploring fundamental physics: dark matter sensing, gravitational wave detectors, etc.

Method: Lectures and exercises will require active participation. Lectures will be organized mostly as a knowledge transfer and occasionally as a flipped classroom. Materials will be made available to students on Moodle.

Outcome: Students will learn about research methods and current trends in quantum optomechanics and AMO physics. The students will acquire a fundamental understanding of a broad set of topics: optical trapping, power spectral densities (evaluation of system properties in frequency/Fourier domain), (quantum) harmonic oscillator and dissipation, light-matter interaction, and entanglement.