Details of PH5210 (Spring 2020)

Level: 10 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(s)
PH5210 Independent Study Rangeet Bhattacharyya

This course requires approval from the respective instructor for enrolment

Syllabus
This is a course offered to the RS (Ph.D) students in their first year. The student can perform an independent study under a DPS faculty (including his supervisor). The evaluation at the end of the semester will be done by a committee of three instructors. The course should be initiated for each individual student by a mutual consent between the student and the faculty.

Prerequisite
The regulations are:


  1. RS students can take a reading course (as 'Independent Study') only if the core and elective courses offered in their
    curriculum do not cover the topics/subjects of the reading course.


  2. Regarding the final evaluation of the student a written document should be submitted to DoAA. (Final evaluation can be regular or take home exam or presentation in front of the course instructor and another faculty member. In that case case the hard copy of the presentation
    can be considered as a written document).

  3. Faculty interested to offer a full semester 'Independent Study' for Research Scholars , must submit the following to the Syllabus Coordinator and Chair before the courses go online each semester: a) Title, and b) Syllabus (short, 5-6 lines,). Without a syllabus nothing exists and it will not be practically possible to consider any course for this option.

  4. There is NO LIMIT RS students who may opt for One Independent Study.

  5. Students NEED to find the available syllabus from the list below, contact the instructor, and with his permission register for the Independent Study. Private communications with a prospective instructor will not be counted as registration.

  6. Before the final deadline, the student must submit the Student's Name, Instructor's Name, Title, Syllabus, & Signature of the Instructor in a piece of paper to the Syllabus Coordinator of DPS.


The Offered Courses


  • Stueckelberg mechanism of gauge symmetry breaking \\
    Syllabus:

    • U(1) gauge theory
    • Non-abelian gauge theory
    • Dirac-Bergmann analysis of constrained dynamical system
    • U(1) gauge symmetry breaking

      • Higgs mechanism
      • Stueckelberg mechanism

    • Gauge symmetry breaking in the language of Dirac-Bergmann
    • Stueckelberg mechanism for non-abelian theories.

    Instructor: Ritesh K. Singh

  • Quantum optics\\
    Syllabus:

    • Quantized electromagnetic field
    • Coherent states, Glauber P-representation, Mandl Q function, Wigner function
    • Nonclassicality of radiation fields - measures of nonclassicality
    • Squeezed states - propreties and generation.
    • Optical interferometry with single photons.
    • Absorption, emission, and scattering of radiation
    • Quantum coherence, interference and squeezing in two-level systems
    • Cavity quantum electrodynamics
    • Absorption, emission and scattering from two-level atoms
    • Decoherence and disentanglement in two-level systems

    References

    • G.S. Agarwal, Quantum Optics, Cambridge University Press, 2012

    Instructor: Ananda Dasgupta

  • Introduction to Biophotonics \\
    Prerequisites: Basic knowledge of Electromagnetic theory, Optics \\
    Preamble:
    Biophotonics is the application of photonic science and technology to
    life sciences. It is a rapidly emerging area with a wide range of applications in clinical medicine and biology. Early detection of cancer, ultrahigh resolution optical microscopy, minimally invasive imaging for tissue function monitoring, therapeutic applications, measuring genetic patterns, identifying pathogens are all examples of biophotonic applications. Biophotonics being a forefront area of interdisciplinary research, requires fundamental understanding of light matter interaction and imaging; this course will be an introduction to students interested in such interdisciplinary research.\\
    Syllabus:

    • Introduction to Biophotonics
    • Basics of optics and light matter interaction: Reflection, refraction,
      diffraction, absorption, emission, scattering

      • Electronic absorption spectroscopy
      • Electronic luminescence spectroscopy
      • Vibrational spectroscopy
      • Mie scattering, Rayleigh scattering

    • Principles of Lasers, Non-linear Optics associated with Biophotonics

      • Basic principles of lasers
      • Lasers relevant to Biophotonics
      • Mechanisms of NLO processes, second order, third order, multiphoton processes


    • Photobiology: Interaction of light with tissue

      • Light-Tissue Interaction Variables
      • Light-Tissue Interaction Theory: Radiative Transport Theory, Monte Calro simulations


    • Bioimaging: Quantitative

      • Different Optical Imaging techniques: Comparison with other imaging techniques (Ultrasound, MRI)
      • Diffuse Optical Tomography: Basic tomography process and models,
        computational reconstruction techniques.


    • Bioimaging: Qualitative

      • Microscopy: simple, compound, phase contrast, dark field differential interference, contrast, confocal, multiphoton, near field optical.
      • Spectral and Time resolved Imaging, FRET, FLIM, non linear optical imaging


    • Applications of bioimaging

      • Endogenous, exogenous fluorophores, GFP
      • Tissue imaging
      • In vivo imaging/ spectroscopy
      • Optical Biopsy
      • Single molecule detection
      • Optical Biosensors: fiber optic, evanescent wave, surface plasmon resonance
      • Bio-nano-photonics



    Syllabus:

    • Bioimaging Current Concepts in Light and Electron Microscopy, Douglas E. Chandler & Robert W. Roberson, Jones and Bartlett publishers.
    • Introduction to Biophotonics, Paras N. Prasad, Wiley Inter-science, A John Wiley & Sons, Inc., Publication.
    • An Introduction to Biomedical Optics, R. Splinter and B. A. Hooper, Taylor & Francis.

    Instructor: Nirmalya Ghosh

  • Application of Field Theory in condensed matter: Hall Effect, Topological and Insulator graphene\\
    Syllabus:

    • 2nd quantization Fermims, Boson & Infinite Statistics .
    • Infrared divergence and collective models.
    • Electron in a magnetic field, in homogeneity expansion and effective active calculation.
    • Symmetries in Hall effect and Gold stone models.
    • Application to graphene & pological insulator.

    Instructor: Prasanta K. Panigrahi

  • Raman Spectroscopy: Theoretical and Experimental Aspects
    Syllabus:\\
    History of Raman Spectroscopy, Basic Theory,
    Instrumentation and Experimental techniques, Application to material science \\
    Instrutor: Goutamdev Mukherjee

  • Phase Transitions at Extreme conditions of pressure and temperature: Experimental perspectives
    Syllabus:\\
    Background, definitions and assumptions of Extreme
    enviornments, Scope of Physics, Equation of state, Instrumentation and Experimental techniques, Radiometry techniques for temperature measurements at high pressures, Applications to materials science\\
    Instructor: Goutamdev Mukherjee

  • Field theoretic methods for ultracold quantum gases
    Syllabus:

    • Introduction: Experiments on cold atoms, different time scales and energy scales, Bose-Einstein condensation (BEC) of non-interacting bosons

    • Broken symmetry approach to BEC of interacting system: Order parameter, macroscopic wavefunction, phase coherence

    • Classical field description of the condensate: Gross-Pitaevskii
      (non-linear Schrodinger) equation and its time dependent generalisation.

    • Topological excitations in a condensate: Bright anf dark solitons, vortices, vortex ring, skyrmions

    • Macroscopic quantum tunneling and `fate of false vacuum' for
      trapped condensate with attractive interactions

    • Saddle point approximations around the background field and
      Bogoliubov quasiparticle

    • Quantum phase transition of lattice bosons: Bose-Hubbard model, superfluid-Mott insulator transition, effective field theory near the quantum critical point

    • Pairing in two component Fermions: BCS theory and a short
      introduction to BCS-BEC crossover.

    References:

    • Introduction to Many Body Physics: Piers Coleman
    • Bose-Einstein Condensation , L. Pitaevskii and S. Stringari
    • Quantum Liquids: Bose Condensation and Cooper Pairing in
      Condensed-Matter Systems , A. J. Leggett

    Instructor: Subhasis Sinha

  • Quantum Optics \\
    Syllabus:

    • Electromagnetic field quantization.
    • Coherent states, Displacement Operator, Squeezed states, Generation of
      coherent states.
    • Interaction of atoms with radiation: atoms with quantized field, fully
      quantized picture - Jaynes Cumming model, dressed states.
    • Optical interferometry with single photons: experiments, quantum
      mechanics of beam splitters, Mach Zender interferometer.
    • Non-classical light: Photon bunching and anti-bunching, Schroedinger cat
      states, two mode squeezed vacuum states.
    • Coherent control of light: Electromagnetically induced transparency
      (EIT), Coherent population trapping, experiments on EIT.

    Instructor: Ayan Banerjee

  • Early Universe \\
    Instructor: Narayan Banerjee

References

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 2 Not Allowed
2 IP 4 Not Allowed
3 IP 6 Not Allowed
4 MR 2 Not Allowed
5 MR 4 Elective
6 MS 10 Not Allowed
7 RS 1 Elective
8 RS 2 Elective