The schedule of ICTS courses for **Jan - Apr 2017 **are** **given below:

**1. Classical fields - elasticity theory and fluid dynamics (Core)**

__ Instructor__: Abhishek Dhar

** TA : **Aritra Kundu

__ Prerequisites:__ Classical Mechanics

__ Summary__: The course will be based almost entirely on the book "Applications of classical physics" by Roger D. Blandford and Kip S. Thorne. The focus will be on explaining the basics of elasticity theory and fluid dynamics, and their applications to understanding various physical phenomena, both from everyday life and from the laboratory.

__ Course contents__: Chapters 11-15 of "Applications of classical physics" available in http://www.pmaweb.caltech.edu/Courses/ph136/yr2012/

__ Evaluation__: There will be two exams and around 6 assignments. Equal weightage will be given to the exam and assignments in the final grading.

__ NOTE__: First class will be at

**3:45 pm**on

**Wednesday, Jan 11, 2017**in Emmy Noether Seminar Room, ICTS Campus, Bangalore. Those interested in attending the course should send an email to abhishek.dhar@icts.res.in expressing their interest and mentioning if they would like to credit/audit the course.

**2. Data Assimilation and Dynamical Systems (Elective)**

** Instructor**: Amit Apte (ICTS-TIFR) and Somyendu Raha (CDS, IISc)

__ Course contents__:

- Quick intro (or recap) for nonlinear dynamics: bifurcations, unstable manifolds and attractors, Lyapunov exponents, sensitivity to initial conditions and concept of predictability.
- Markov chains, evolution of probabilities (Fokker-Planck equation), state estimation problems.
- An introduction to the problem of data assimilation (with examples)
- Bayesian viewpoint, discrete and continuous time cases
- Kalman filter (linear estimation theory)
- Least squares formulation (possibly PDE examples)
- Nonlinear Filtering: Particle filtering and MCMC sampling methods
- Introduction to Advanced topics (as and when time permits): Parameter estimation, Relations to control theory, Relations to synchronization.

__ When__: Tuesdays and Thursdays 11.30-13.00

__: room CDS 309 (SERC building), IISc__

**Where**__ NOTE__:

- This class is joint with CDS, IISc as DS-391.
- First class will be on Tue 10 Jan at 11.30am
- Those interested in attending the course should send an email to apte@icts.res.in expressing their interest and mentioning if they would like to credit/audit the course.

**Texts and References:**

- Edward Ott, Chaos in Dynamical Systems, Camridge press, 2nd Edition, 2002.(or one of the many excellent books on dynamical systems)
- Van Leeuwen, Peter Jan, Cheng, Yuan, Reich, Sebastian, Nonlinear Data Assimilation, Springer Verlag, July 2015.
- Sebastian Reich, Colin Cotter, Probabilistic Forecasting and Bayesian Data Assimilation, Cambridge University Press, August 2015
- Law, Kody, and Stuart, Andrew, and Zygalakis, Konstantinos, Data Assimilation, A Mathematical Introduction, Springer Texts in Applied Mathematics, September 2015. [First part of the book is available at http://arxiv.org/abs/1506.07825]

**3. Introduction to Statistical and Quantum Field Theory (Core)**

__ Instructors:__ R. Gopakumar, S. Bhattacharjee

__ Prerequisites:__ Quantum Mechanics, Statistical Physics.

**Tentative Topics:**

- Statistical Mechanics - From the discrete to the continuum
- Quantum Mechanics of particles to continuum Quantum Fields
- Functional integral formulation of QM and QFT (Green's functions, Linear response)
- Parallels and Differences between continuum description of Stat. Mech. and Quantum systems.
- Conventional renormalisation and its meaning
- Wilsonian RG - flows and fixed points.
- Illustration: Wilson-Fisher fixed points and critical phenomena/large N vector models
- Additional topics (time permitting)

Reference material will be mentioned in class topicwise. Registered students will have to read up and make a 30 min. presentation towards the end of the course on some additional topics selected by the instructor.

__Note:__

- Classes will be held on Wednesdays and Thursdays between 2:00 to 3:30 PM (times will occasionally have to be adjusted ) at Emmy Noether room.
- The first class is going to be held on Thursday, 5th January, 2017.
- Everyone who wishes to attend the course, particularly those who want to credit the course, are requested to attend the first meeting.

**4. Open Quantum Systems (Elective)**

__ Instructors:__ Manas Kulkarni, R Loganayagam

__ TA:__ Archak Purkayastha

__ Prerequisites:__ Quantum Mechanics, Statistical Physics.

**Tentative Topics:**

- Basic stochastic processes (Introduction to probability - Classical and Quantum) :
- Density matrix (Markovian evolution equations, Decoherence) :
- Hybrid quantum systems (Light-matter, Quantum optics, photon statistics) :
- Driven dissipative systems (Cavity-QED, Circuit-QED systems) :
- Beyond Markov Approximation (Nakajima-Zwanzig projection operator) :
- Open Quantum field theory (Schwinger-Keldysh, Diagrammatic methods in open quantum systems)

**Textbooks :**

- Heinz-Peter Breuer and Francesco Petruccione, The theory of open quantum systems [GoogleBooks Page]
- Howard Carmichael, An Open Systems Approach to Quantum Optics
- Howard Carmichael, Statistical Methods in Quantum Optics 1. Master Equations and Fokker-Planck Equations
- Esteban A. Calzetta, Bei-Llok B. Hu, Nonequilibrium Quantum Field Theory [GoogleBooks Page]

__Grading Policy:__

Homework 30%

Midterm - 20%

Final - 30%

End-term Presentations 20%

**Time and Location**

Tues & Thurs [4pm-5:30pm]

Emmy Noether Room (ICTS)

*First Class to begin on January 5th, 2017 (Thursday).*

**5. Physics of Living Matter (Elective)**

** Instructor: ** Vijay Kumar Krishnamurthy

__ TAs:__ (a) Amit Kumar (RRI/NCBS) (b) Alkesh Yadav (RRI/NCBS)

__ Prerequisites__: A first course on statistical physics

__ Outline__: Basic phenomenology of living systems. Bionumbers. Stochastic processes. Sensing and signaling. Molecular motors. Active particles. Biopolymers. Membranes. Linear irreversible thermodynamics. Generalized hydrodynamics. Anisotropic fluids. Active matter. Hydrodynamics of the cytoskeleton. Biological pattern formation. Morphogenesis.

__ Time__: Tuesdays and Thursdays in ICTS, 09:45 - 11:15

__ Website__: <https://home.icts.res.in/~vijay/phys_living_matter.html>

__ Note__: Please see website for more details.