Bangalore School on Statistical Physics - XII

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These is a part of Bangalore School on Statistical Physics - XII

There will be 5 lectures (2:00pm-3:30pm) and 3 tutorials (6:00pm-7:30pm) of 1.5 hours each. The notes, tutotials and codes can be downloaded.  

Instructor: Manas Kulkarni, manas.kulkarni@icts.res.in

Tutor: Hari Kumar Yadalam, hari.kumar@icts.res.in

 

Lecture 1: (July 5, Monday, 2021), Video 

  • Motivation and general construction for Open Quantum Systems

  • System Reservoir Approach

Lecture 2: (July 6, Tuesday, 2021), Video 

  • Quantum Master Equation (QME) : General setup

  • Application to damped quantum Harmonic oscillator

Lecture 3: (July 7, Wednesday, 2021), Video 

  • Quantum Langevin Equation (QLE)

  • Comparisons between QLE and QME

  • Transport through a system coupled to multiple reservoirs

Lecture 4: (July 8, Thursday, 2021), Video 

  • Open two level / multi level systems: Perturbative and some exact results

  • Jaynes - Cummings Model: Exact Solutions

  • Generalizations of Jaynes - Cummings Model

Lecture 5: (July 9, Friday, 2021), Video 

  • Dicke Model and quantum phase transitions

  • Spectral signatures in closed and open Dicke model

  • Connections to Hermitian and non-Hermitian Random Matrix Theory

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Tutorial 1: (July 5, Monday, 2021) 

  • Density matrix approach to Quantum Mechanics.

  • Quantum Mechanics of Composite Systems.

  • Partial traces and reduced density matrices for sub-systems.

Tutorial 2: (July 8, Thursday, 2021) 

Tutorial 3: (July 9, Friday, 2021)