Mitigating topological freezing using out-of-equilibrium simulations

Author:

Claudio Bonanno, Alessandro Nada, Davide Vadacchino

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), Statistical Mechanics (cond-mat.stat-mech), High Energy Physics - Theory (hep-th)

journal:

date:

2024-02-09 00:00:00

Abstract

Motivated by the recently-established connection between Jarzynski's equality and the theoretical framework of Stochastic Normalizing Flows, we investigate a protocol relying on out-of-equilibrium lattice Monte Carlo simulations to mitigate the infamous computational problem of topological freezing. We test our proposal on $2d$ $\mathrm{CP}^{N-1}$ models and compare our results with those obtained adopting the Parallel Tempering on Boundary Conditions proposed by M. Hasenbusch, obtaining comparable performances. Our work thus sets the stage for future applications combining our Monte Carlo setup with machine learning techniques.

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