Research Projects

This project comprises of algorithmic approaches to the study of quantum magnets which comes under the broader area of strongly correlated quantum matter. One achievable goal is to characterize the computational performance of the resummed stochastic series expansion method developed recently by Desai and Pujari (Phys. Rev. B 104, L060406 (2021)) vs. the standard stochastic series expansion method pioneered by Sandvik while simulating quantum paramagnetic phases with non-trivial quantum entanglement properties at finite temperatures. In particular, the project will compare these algorithms' performance in simulating finite temperature phase transitions out of spin-1/2 quantum paramagnetic phases such as valence bond solids and higher-spin variants. Another goal is to attempt to make some progress on the simulation of canonical geometrically frustrated magnets like the triangular or Kagome lattice quantum antiferromagnet that is severely afflicted by the so-called sign problem while using the existing algorithms.