**Venue:** Online

**Class timings:** 4:00 pm-5:30 pm on Tuesdays and Fridays

**First meeting:** 15th January 2021

**Course description:**

- Dissipation in Quantum Mechanics: General setup and various approaches
- Damped Quantum Harmonic Oscillator, two-time averages, and quantum regression
- Spin Boson Model (Dephasing) and some generalizations
- Dissipative two-level and multi-level systems
- Cavity-Quantum Electrodynamics (cavity-QED): Exact solutions of the Jaynes-Cummings Model (JCM)
- Dispersive limit of the JCM and its generalizations (reduction to Bose-Hubbard systems)
- Dissipative process in cavity-QED systems
- Driven-Dissipative Quantum Systems and applications (driven JCM)
- Dicke Model and phase transitions

**Prerequisites:** Quantum Mechanics, Statistical Physics

**Textbooks:** Below are some suggested books. 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)

**Term paper topics: **Below are suggested topics for the term paper (report + presentation). The suggested references for each of them will be updated. Students will need to pick a topic (latest by February 15, 2021) and make a report and then give a presentation (at the end of the semester).

- Non-Hermitian Random Matrices
- Quantum Dot circuit-QED systems
- Optomechanical Systems
- Self-trapping, localization in Non-Hermitian Systems
- Parity-Time Symmetric Systems

**Grading Policy:**

- Homework – 40 %
- Term paper (report and presentation) – 30 %
- Final Exam – 30 %

- Teacher: Manas Kulkarni