Projects

You can also see this list on my CV.

Supervisor: Prof. Matthew Headrick, Dept. of Physics, Brandeis University

Studied several papers about the bit thread formulation of holographic entanglement entropy, especially ”Quantum bit threads” (2105.08072) and ”Covariant bit threads” (2208.10507)
Proposed a definition for ”Quantum covariant bit threads” that unifies the quantum static version 2105.08072 with the classical covariant version 2208.10507 and showed that it has the expected properties.
Currently trying to prove that this definition is equivalent to the Quantum Extremal Surface (QES) prescription.

Supervisor: Prof. Brian Swingle, Dept. of Physics, Brandeis University

Studied the chord diagram technique that can be used to solve Double Scaled SYK at all energy scales and $\lambda$.
Studied the sparse version of SYK.
Currently working on sparsifying the Double Scaled SYK. We are developing hyperchord diagram technique for calculating next-order corrections to sparse DSSYK, and I am also working on sparsifying ${\mathcal N} = 1$ and ${\mathcal N} = 2$ supersymmetric DSSYK.

Supervisor: Prof. Daniel Jafferis, Dept. of Physics, Harvard University

Studied the duality between $AdS_{4}\times S^{7}/\mathbb{Z}_{k}$ M-theory and the $\mathcal N = 6$ $U(N)_k \times U(N)_{-k}$ super Chern–Simons theory (ABJM CFT).
Gave a presentation focusing on the M2-brane construction and obtaining the gravity dual.

Supervisor: Prof. Pichai Ramadevi, Dept. of Physics, IIT Bombay

Studied the AdS/CFT correspondence (with a focus on black hole thermodynamics) from a textbook by Năstase.
Studied several review articles related to the holographic entanglement entropy.
Read recent papers on the resolution of the information paradox using the Island prescription.
After reading recent papers on islands in de Sitter spacetimes, started working on a related research problem.
Quantum Raychaudhuri Equation and its applications to cosmology (May-July 2022)

Supervisor: Prof. Saurya Das, Dept. of Physics and Astronomy, University of Lethbridge, Canada

Studied a semi-classical gravity theory obtained by replacing classical geodesics in the Raychaudhuri equation with Bohmian trajectories.
Studied a cosmological model within this theory where both dark matter and dark energy are unified into a dark Bose-Einstein condensate.
Implemented a special case of this theory in CLASS and estimated the cosmological parameters by doing Monte Carlo sampling in Cobaya using Planck 2018 data.

Supervisor: Prof. Vikram Rentala, Dept. of Physics, IIT Bombay

Studied quantum scalar field theory in curved spacetime and how it compares with QFT in ﬂat spacetime.
Reviewed the four laws of black hole mechanics and their similarity with thermodynamics and Penrose process in a Kerr black hole.
Studied Unruh effect which explains that the vacuum state of a Minkowski observer will be a thermal state as observed by a Rindler observer and how entanglement between the left and right Rindler wedges prevents a firewall at the Rindler horizon.
Studied Hawking radiation and the conditions under which a black hole can be in stable or unstable equilibrium.
Assuming that the evaporation is unitary, studied the characteristics of Page curve using the Page theorem.
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Supervisor: Prof. Urjit Yajnik, Dept. of Physics, IIT Bombay

Studied how abelian and non-abelian gauge bosons can become massive using spontaneous symmetry breaking.
Studied how the theory is renormalizable even after gauge bosons acquire mass through Higgs mechanism using $R_\xi$ gauges.

Supervisor: Prof. Vikram Rentala, Dept. of Physics, IIT Bombay

Studied basic concepts of category theory like Functors, Natural transformations, Monoidal categories.
Studied axiomatization of physical systems using strict monoidal categories. \item Investigated FdHilb category and studied no-cloning, no-deleting theorems in categorical quantum mechanics.
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Supervisor: Prof. Anshuman Kumar, Dept. of Physics, IIT Bombay

Studied bound states in the continuum (BICs) which emerge due to precise destructive interference of waves for an electron in a one-dimensional quantum well under an external magnetic field.
Using the correspondence between the spin states of the above electron model and the polarisation states of an one dimensional photonic system made up of an anisotropic layer conjugated with a 1D photonic crystals consisting of alternating layers, found BICs for the photonic system.
Calculated numerical values and generated graphs of several quantities such as transmittance, reflectance, Q factor, wave function using python for both the electron model and the photonic model.
GitHub

Supervisor: Prof. Amitabha Nandi, Dept. of Physics, IIT Bombay

Studied the normal Susceptible-Exposed-Infected-Recovered (SEIR) model. Later used a modified model to incorporates the fact that asymptomatic or mildly symptomatic individuals play a significant role in the transmission of Covid-19.
Generated different projections for India under different intervention parameters.
By varying intervention parameters in the modified model we concluded that testing-quarantining is more efficient in controlling the pandemic than lockdowns.
GitHub

K. Sreeman Reddy