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Overview

Teaching and Training

Apart from research activities, scientists of this Unit are engaged in teaching various courses
like Physics I, II & III for B. Stat (Hons.), Mathematics for MS (QE), Quantum Computing for
M. Tech. (CS) and Ph.D. Course work. The scientists of the unit also supervise research fellows
towards their Ph.D. Degree. The Unit organizes national level summer / winter
schools/workshops on related topics for Masters’ students and research fellows of different
Universities and Research Institutes. The scientists are also involved in supervising students
from different universities and institutes through Summer/Winter projects.

Research Activities Taken Up by The Scientists in The Unit

The main areas of research in Physics & Applied Mathematics Unit are Theoretical Physics
and various areas related to Applied Mathematics. Additionally, some experimental works are
also being done in the Fluvial Mechanics Laboratory of this Unit.

In a nutshell, the Scientists of the Physics & Applied Mathematics Unit (PAMU) of the Institute
have been working in the areas of Cosmology and Astroparticle Physics along with Data
Analysis, Condensed Matter Physics, Mesoscopic Physics and Nano-electronics, High Energy
Physics, Quantum Field Theory, Foundation of Quantum Mechanics, Quantum Information
Theory, Quantum Thermodynamics, Nonlinear Dynamical Systems, Complex Netwoks,
Physics of Complex Systems, Sediment-fluid Interactions and Flow Visualization. There is an
externally funded new project on Synchronization, Clustering and Death in Networks of
Complex Systems (Theory and Application to Biology and Neurophysiology).

Physics

Cosmology and Astroparticle Physics :

1. Non-Gaussian properties of Primordial Gravitational Waves have been investigated for
with a source term by constructing model-independent templates for nonlinearity
parametersof tensor bispectrum. It was found that the signal is enhanced in presence of
a source and squeezed limits are dominant.
2. Consistent 3-point Statistics with tensor modes for Non-Bunch-Davies initial states
have also been developed and templates for nonlinearity parameters have been
constructed for all possible correlators. Prospects of detectability revealed that the
mixed correlators might be more relevant for upcoming CMB missions.
3. Perturbations in Early Dark Energy scenario have been studied and the parameters have
been constrained by latest Planck18 CMB data, recent BAO, SnIa and R18 direct H0
measurements datasets.
4. Non-zero weak lensing convergence correlation signal of Type-Ia Supernovae from 5-
year Supernovae Legacy Survey (SNLS) data have been reported for the first time by
employing internal error estimate technique, reshuffling the original data using
bootstrap spatial re-sampling, and by computing the corresponding covariance matrix
with great accuracy.
5. A Fisher matrix forecast analysis in the context of next generation Gravitational Waves
missions like eLISA have been performed and the errors have been predicted for

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