Quantum symmetry from enhanced sampling methods

Abstract

We address the problem of the minus sign sampling for two electron systems using the path integral approach. We show that this problem can be reexpressed as one of computing free energy differences and sampling the tails of statistical distributions. Using Metadynamics, a realistic problem like that of two electrons confined in a quantum dot can be solved. We believe that this is a strategy that can possibly be extended to more complex systems.

arXiv comment5 pages, 5 figures

References in corpus (6)

• Escaping free-energy minima
• Well-Tempered Metadynamics: A Smoothly Converging and Tunable Free-Energy Method
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Langevin equation with colored noise for constant-temperature molecular dynamics simulations
• Excitation spectrum of two correlated electrons in a lateral quantum dot with negligible Zeeman splitting
• Exact ground state Monte Carlo method for Bosons without importance sampling

Cited by in corpus (4)

• Path Integral Molecular Dynamics for Bosons
• Path Integral Molecular Dynamics for Fermions: Alleviating the Sign Problem with the Bogoliubov Inequality
• Quadratic Scaling Bosonic Path Integral Molecular Dynamics
• Exact tunneling splittings from symmetrized path integrals