Finding steady-state solutions to the Schrödinger equation involves solving an exponentially large eigenvalue problem. In this talk, I show how neural networks can be used to parameterize functions representing the eigenvector associated with the lowest eigenvalue. For interacting quantum systems, this solution is the ground state wavefunction and describes the behavior at zero temperature. I […]

The Atlantic Meridional Overturning Circulation (AMOC) plays a crucial role in the climate of the Northern Hemisphere. By transporting warm water north, it keeps Western Europe and Eastern US and Canada warm. It is commonly thought that if AMOC slows or collapses, Northern Hemisphere would enter into an ice age, as it apparently happened in […]

Markov Chain Monte Carlo (MCMC) is a powerful algorithmic framework for sampling from complex probability distributions. Standard MCMC methods struggle with high-dimensional distributions containing well-separated modes, becoming trapped in local regions. Replica-exchange/Parallel tempering (PT) addresses this by using intermediate annealing distributions to bridge a tractable reference (e.g., Gaussian) and an intractable target distribution. However, classical […]