ICTS Course no.: PHY-405.5
Venue: Online
Class timings: Wednesdays and Fridays 4:00 PM to 05:30 PM
First meeting: 19th January 2022
Course description:
Prerequisites: Quantum Mechanics, Statistical Physics
Syllabus:
- General formalism and various approaches for Open Quantum Systems
- Damped Quantum Harmonic Oscillator and multi-level systems
- Exact results for Spin Boson Model (Dephasing) and some generalizations
- Integrability of Jaynes-Cummings and quantum Rabi models
- Driven-Dissipative Quantum Systems and applications
- Hermitian and Non-Hermitian Dicke Model: Chaos and Connections to Random Matrix Theory
- Matrix Product States for Open Quantum Many-Body Systems
References:
Below are some suggested references. I will also be making additional notes.
- Howard Carmichael, Statistical Methods in Quantum Optics 1. Master Equations and Fokker-Planck Equations (Springer)
- Girish S. Agarwal, Quantum Optics (Cambridge University Press)
- Heinz-Peter Breuer and Francesco Petruccione, The theory of open quantum systems (Oxford University Press)
- Marlan O. Scully and M. Suhail Zubairy, Quantum optics (Cambridge University Press)
- Fritz Haake, Sven Gnutzmann, Marek Kuś, Quantum signatures of chaos (Springer)
- Simulation methods for open quantum many-body systems, Hendrik Weimer, Augustine Kshetrimayum, and Román Orús, Rev. Mod. Phys. 93, 015008 (2021)
Term paper (report + presentation) topics
Below are suggested topics for term paper (report + presentation). The suggested references for each of them will be updated. Students will need to finalize a topic (latest by February 23rd, 2022), make a report and then give a presentation (at the end of the semester).
1) Circuit-QED with non-trivial lattice geometry and connectivity
2) Parity-Time Symmetric Systems and exceptional points
3) Opto-mechanical Systems
4) Symmetries and spectral properties of Liouvillians
Grading Policy
Homework – 40 %
Term paper (report and presentation) – 30 %
Final Exam – 30 %