19–21 Dec 2022
Dipartimento di Fisica - Università di Bari "Aldo Moro"
Europe/Rome timezone
SM&FT 2022 Frontiers in Computational Physics

Entanglement entropy from non-equilibrium lattice simulations

20 Dec 2022, 16:45
20m
Dipartimento di Fisica - Università di Bari "Aldo Moro" - aula A ("Giuseppe Nardulli") - 1st floor

Dipartimento di Fisica - Università di Bari "Aldo Moro" - aula A ("Giuseppe Nardulli") - 1st floor

Speaker

Andrea Bulgarelli (Istituto Nazionale di Fisica Nucleare)

Description

The entanglement entropy is a quantity encoding important features of strongly interacting quantum many-body systems and gauge theories, but its analytical study is still limited to systems with high level of symmetry. This motivates the search for efficient techniques to investigate this quantity numerically, by means of Monte Carlo calculations on the lattice.
In this talk, we present a lattice determination of the entropic c-function by means of a novel algorithm based on Jarzynskis equality: an exact theorem from non-equilibrium statistical mechanics. After presenting benchmark results for the Ising model in two dimensions, where our algorithm successfully reproduces the analytical predictions from conformal field theory, we discuss its generalization to three dimensions and comment on potential future applications to gauge theories.

Primary author

Andrea Bulgarelli (Istituto Nazionale di Fisica Nucleare)

Co-author

Marco Panero (TO)

Presentation materials