Fluxon Refrigerator (2021-2022)

In type-II superconductors, above a certain critial external magnetic field, the field lines start penetrating the sample and we have an intermediate state consisting of puddles of normal metals surrounded by superconducting material. Each of these puddles or vortices carry a quanta of flux and are called fluxons.

In our work, we propose a refrigeration scheme (as shown) by using the fluxons as a working substance. By applying an external current the fluxons are driven across a magnetic field gradient. In the process they extract heat from a cold reservoir and dump it into a hot reservoir.

Stochastic Path Integral (2020-2021)

We formulate a stochastic path integral description of a quantum harmonic oscillator in general Gaussian states undergoing continuous position and momentum measurements.

Under continuous measurements the trajectories of oscillators in phase space are stochastic and tend to spiral out. The stronger the measurements are, the more spiraled our trajectories we get. If we color code the trajectories in terms of strength of measurements, the blue (stronger measurements) trajectories tend to spiral out more than the orange/red (weaker measurements) ones. This lets us create a palette very similar to Van Gogh's The Starry Night.

Illustris (2017-2022)

In this project, we look at the sizes scaling relations of central galaxies and their host dark matter halos in Illustris and IllustrisTNG simulations. We find that IllustrisTNG shows better agreement with the observed scaling relations.

Image shows how the radii ratio of sample galaxies and their host dark matter halos evolve with respect to the median as a function of redshift on the x-axis. Redshift 0 means present day, whereas, increasing redshift means we are looking at the past. Dashed lines show average scatter of galaxies with redshift~0 and a mass of 10^9.5 solar mass.

Magnetic fields of the Sun (2017)

Toroidal and polar components of the Sun's magnetic field can be written as curl and double curl of two radial vector fields. Assuming the coefficents of these vector fields to be spherical harmonics, one can produce multipole structure of solar magnetic fields.