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Parametric Phenomena
Last Updated: 2026-02-05 16:14:58
Abstract
There are numerous physical phenomena that rely on time-dependent Hamiltonians (or parametric driving) to amplify, cool, squeeze or couple resonating systems. In this course, we will introduce parametric phenomena in different fields of physics, ranging from classical engineering ideas to devices proposed for quantum neural networks.
Objective
This course is intended for - experimentalists who desire to gain a solid theoretical understanding of nonlinear driven-dissipative systems, - theorists looking to expand their analytical and numerical toolbox, - any scientist interested to learn what lies beyond the harmonic resonator. In the course, the students will grasp the ubiquitous nature of parametric phenomena and apply it to both classical and quantum systems. The students will understand both the theoretical foundations leading to the parametric drive as well as the experimental aspect related to the realizations of the effect. Each student will analyze an independent system using the tools acquired in the course and will present his/her insights to the class.
Content
This course will provide a general framework for understanding and linking various phenomena, ranging from the child-on-a-swing problem to quantum limited amplifiers, to optical frequency combs, and to optomechanical sensors used in the LIGO experiment. The course will combine theoretical lectures and the study of important experiments through literature. The students will receive an extended lecture summary as well as numerous MATHEMATICA and Python scripts, including QuTiP notebooks. These tools will enable them to apply analytical and numerical methods to a wide range of systems beyond the duration of the course.
Resources
Lecture Notes
A full script will be available.
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Every two years
Examination
- Type
- graded semester performance
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise |
Parametric Phenomena
Does not take place this semester.
|
No time listed | 3 h weekly |
Offered In
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Electives (This is a selection of courses particularly suitable for the MSc QE. In agreement with the tutor, students may choose other courses from the ETH course catalogue.)
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