Below are semidetailed descriptions of the research projects I have worked on over the course of my time studying physics. I will try to include hyperlinks for concepts that maybe deserve a bit more exposition. Some projects are still active, while others have run their course. They can be roughly lumped into the following categories
Note: This section is still under construction.
Nonequilibrium quantum manybody physics
The Quantum Hamiltonian Mean Field model
Caustics in coupled condensates
Effective Field Theory
Point particle effective field theory in the lab
Neutrino Physics
Rare neutrino physics at the intensity frontier
Sterile neutrino dark matter
The Quantum Hamiltonian Mean Field model
The HMF model is the toy model of longrange interacting systems (in the way the Ising model is for critical phenomena). It describes particles of mass interacting on a ring of radius by the following Hamiltonian
where is the (angular) momentum conjugate to , and is the interparticle coupling. The coupling is rescaled to ensure a nontrivial limit as , this is known as the Kac prescription.
We have been studying the quantum version of the model. Our first result was to determine the fate of the socalled bicluster two of our main results are shown below. We managed to make nonequilibrium phase diagram that demonstrates how quantum zeropoint energy modifies the dynamics, resulting in the interference pattern shown below
Papers:

 Violent relaxation in a longrange interacting Bose condensed gas: quantum dynamics of the HMF model. (submitted for publication)
 Emergent solitons in a longrange interacting Bose gas (in preparation)
 Manybody ground state of the bosonic HMF model (research ongoing)
 Realizing the HMF model in a lab (future work)
Point particle effective field theory in the lab
While, PPEFT is interesting in its own right, the emphasis of my interest in this project is the latter half of the title; namely “in the lab”.
The seeds of the project started with Cliff Burgess’ proposal to develop a systematic treatment of field theories interacting with a compact body (PPEFT). A powerful, and insightful setting to understand features of PPEFT is the quantum mechanics of the inverse square potential. The inverse square potential is interesting because of a phenomena known as “fall to the centre” and has connections to
 Near horizon physics of black holes
 Efimov physics
 Conformal symmetry breaking
This project has three basic goals
 Identify how to parameterize the inverse square potential as a PPEFT, and identify a universal set of RG invariants.
 Propose an explicit proposal to realize, and test this system in a lab.
 Connect the results of any future experiment to other physical systems such as black hole and Efimov physics by using the universal parameterization mentioned above.
Papers:
 Paper 1
 Paper 2