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


  1. General formalism and various approaches for Open Quantum Systems
  2. Damped Quantum Harmonic Oscillator and multi-level systems
  3. Exact results for Spin Boson Model (Dephasing) and some generalizations
  4. Integrability of Jaynes-Cummings and quantum Rabi models
  5. Driven-Dissipative Quantum Systems and applications 
  6. Hermitian and Non-Hermitian Dicke Model: Chaos and Connections to Random Matrix Theory
  7. Matrix Product States for Open Quantum Many-Body Systems


Below are some suggested references. I will also be making additional notes. 

  1. Howard Carmichael, Statistical Methods in Quantum Optics 1. Master Equations and Fokker-Planck Equations (Springer)
  2. Girish S. Agarwal, Quantum Optics (Cambridge University Press)
  3. Heinz-Peter Breuer and Francesco Petruccione, The theory of open quantum systems (Oxford University Press)
  4. Marlan O. Scully and M. Suhail Zubairy, Quantum optics (Cambridge University Press) 
  5. Fritz Haake, Sven Gnutzmann, Marek Kuś, Quantum signatures of chaos (Springer)
  6. 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 %