I am presently working on Pancharatnam-Berry phase in quantum optics.
Supervisor: Professor Arvind
The Pancharatnam phase is observed in light beams undergoing cyclic evolution of their polarization states as they propagate. This idea was formulated by Shivaramakrishnan Pancharatnam in 1956. Similar work on geometric phase in quantum systems was independently carried out by Michael Berry in 1984.
I am working on Quantum Key Distribution (QKD) using continuous variables.
Supervisor: Professor Arvind
Quantum key distribution is a method to share secret key between two distant parties, Alice and Bob. We focus on observables with continuous eigenvalues to encode information. We aim to investigate the role of non-Gaussian resource states in various CV-QKD protocols.
Non-Gaussian operations on a single-mode system can be understood using this schematic:
The input mode A2 is mixed with the auxiliary mode F0 using a beam splitter. The photon number resolving detector (PNRD) is placed at the output mode to detect the successful implementation of a non-Gaussian operation.
o < k : Photon subtraction
o = k :Â Photon catalysis
o > k : Photon addition
As an aside, I have worked on quantum Stirling heat engines with an ensemble of harmonic oscillators and particle-in-a-box as the working media, with all-student collaborators.
The published paper can be found here (for the pdf file, please drop me an email).
Following is a short talk that I had delivered as part of the QTpi talk series. You can also watch it directly on YouTube by clicking here.
Following are some important schematics and plots from my paper: