Theory Seminar: Collective Monte Carlo updates through tensor network renormalization

Miguel Frías (MPQ)
Markov Chain Monte Carlo algorithms are central to our understanding of strongly correlated systems.

March 31, 2021

Miguel Frías (MPQ)
Online Seminar via Zoom
Wed 31. March 2021, 11:30 am (MEZ)

Abstract:

Markov Chain Monte Carlo algorithms are central to our understanding of strongly correlated systems. When the number of degrees of freedom is too large for exact computations, and perturbative methods are ineffective, Monte Carlo sampling often emerges as the method of choice for numerical investigation. After a quick review of it, I will present how to construct a Markov chain using tensor network contractions that can greatly aid with one of the limitations of the more traditional approaches: their performance in the presence of frustration and competing interactions. Results of the application of the method for the two and three dimensional Ising model will be shown, along with some preliminary results on continuous models.

If you'd like to participate in the seminar, please contact us!