Research Interests
My current interests are in hard condensed matter physics. My interest in theoretical condensed matter physics is related to how fundamental questions can arise with increasing complexity in systems and new laws and generalisations are required to explain them. Another aspect that has drawn me towards this field is the possibility of close collaboration with experimental groups. It is an integral part of the way I had envisioned myself as a researcher.
4He in confined environments
- Paul, S., Lakoba, T., Sokol, P.E., and Del Maestro, A., Localisation and Tunability of 4He inside pre-plated nanopores, https://arxiv.org/abs/2509.10690 (September, 2025)
- McNamara, S., Parajuli, P., Paul, S., Warren, G., Del Maestro, A., and Sokol, P.E.., Novel Experimental Platform to realize One-dimensional Quantum Fluids, J. Low Temp. Phys. 221 256–264, (2025)
- Sokol, P.E., Del Maestro, A., Paul, S., Nichols. N., Prisk, T. and Warren, G., Experimental Realization of One-Dimensional Helium, J. Low Temp. Phys., 220 124–135, (2025)
Efficient sampling methods in Path Integral Monte Carlo
- Karmakar, S., Paul, S. ,Del Maestro, A., and Hirshberg, B., Combining Harmonic Sampling with the Worm Algorithm to Improve the Efficiency of Path Integral Monte Carlo, https://arxiv.org/abs/2511.04597 (November, 2025)
Previous work:
- Master's thesis: During my master's I worked on understanding the various ways the current flowing through a quantum dot or two quantum dots can be calculated. First, using the Keldysh formalism and the Meir-Wingreen formula and then using the rate equation formalism for when the coupling is weak. Link to report.
- 2D simulation of Ising model: I implemented the Metropolis-Hastings algorithm to simulate the Ising model on a 2D lattice and used it to study the dependence of hysterisis on various external parameters replicating some results of 10.1103/PhysRevB.42.856.Link to report
- Computational Investigation of the Allen-Cahn and Cahn-Hilliard equations: I numerically solved the Allen-Cahn and Cahn-Hilliard equations using the Chebyshev spectral methods and was able to show the faster convergence and the 2D seperation of phases for the Allen-Cahn equation.The results for Cahn-Hilliard equation were however inconclusive. Link to thesis and github