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260103 VU Advanced Methods in quantum optomechanics: from atoms to solids (2021S)

5.00 ECTS (3.00 SWS), SPL 26 - Physik
Continuous assessment of course work
Tu 20.04. 15:30-17:45 Digital



max. 15 participants
Language: English


Classes (iCal) - next class is marked with N

Tuesday 09.03. 15:30 - 17:45 Digital
Tuesday 16.03. 15:30 - 17:45 Digital
Tuesday 23.03. 15:30 - 17:45 Digital
Tuesday 13.04. 15:30 - 17:45 Digital
Tuesday 27.04. 15:30 - 17:45 Digital
Tuesday 04.05. 15:30 - 17:45 Digital
Tuesday 11.05. 15:30 - 17:45 Digital
Tuesday 18.05. 15:30 - 17:45 Digital
Tuesday 01.06. 15:30 - 17:45 Digital
Tuesday 08.06. 15:30 - 17:45 Digital
Tuesday 15.06. 15:30 - 17:45 Digital
Tuesday 22.06. 15:30 - 17:45 Digital


Aims, contents and method of the course

This course aims to explore the field of quantum optomechanics with a special emphasis on optically trapped atoms and levitated solid-state objects. Levitated optomechanics is at the forefront of research in quantum optics. The lectures will cover fundamental concepts and provide students with a firm grasp of the subject. In-depth calculations during the lectures will further deepen understanding of the most important concepts.
Contents: We will cover following topics in the lectures:
Week Topic
1 Fundamentals of cavity optomechanics: radiation pressure, optical cavity, harmonic oscillator, power spectral density
2 Classical theory of light-matter interaction: feedback and cavity cooling
3 Quantization of light and motion: input-output formalism, thermal bath model
4 Quantization of light and motion: interaction Hamiltonian, Langevin equations, ground state cooling, thermometry
5 Optical forces on neutral atoms
6 Optomechanics with levitated nanoparticles: Dispersive optomechanics
7 Optomechanics with levitated nanoparticles: Coherent scattering
8 Mode hybridization
9 Force sensing and fundamental physics
10 Hybrid optomechanical systems
11 Quantum effects: entanglement, squeezing, sub-SQL detection
12 Single-photon optomechanics
13 Student presentations

Method: Lectures and exercises will require active participation. Lectures will be supported (where possible) by demonstrations. Materials will be made available to students on Moodle.

Outcome: Students will get acquainted with research methods in quantum optomechanics. They will gain fundamental understanding of broad set of topics, which will allow them to conduct and discuss research.

Assessment and permitted materials

Maximum number of points is 100. Final grade will be formed based on two independent evaluations of student’s participation:
- Homework assignments will be provided continuously during the semester. Students are expected to submit their solutions via Moodle before the deadline. In case of a late submission, the number of achieved points will be decreased by 10%. You are allowed to ask the lecturer (Uros Delic) for hints on how to solve the problem at a cost of 20% of the achieved number of points. Homework assignments will in total carry 70 points (out of 100).
- Exam: Students will choose one seminal scientific paper from a list chosen by the lecturers a couple of weeks before the end of the semester. Students will have to prepare a 12 minute (10 min talk, 2 min questions) talk and present in during the last class of the semester. Students are encouraged to ask questions: each question about their colleague’s talk will be rewarded with 2 points. The presentation will carry 30 points (out of 100).

Minimum requirements and assessment criteria

Students have to obtain at least 50% of points in each category (homework assignments and presentation) in order to pass the exam. The final grade will be calculated per following scheme:
85-100: 1
75-85: 2
65-75: 3
50-65: 4
0-50: you shall not pass

Examination topics

Topics covered in the lectures and exercises.

Reading list

Will be continuously updated on Moodle during the course.

Association in the course directory


Last modified: Tu 23.02.2021 20:08