Speaker
Denis Dalidovich
(Perimeter Institute for Theoretical Physics)
Description
We study the bipartite von Neumann and $\alpha =2$ Renyi entanglement
entropies for a system of free bosons put on a torus cut into two cylinders.
The torus is formed out of the $L\times L$ square lattice, and the
entropy is supposed to scale as $S = a L + c \gamma (L_A/L) + \cdots$, with
$L_A$ being the size of the partitioned region. $c$ and $a$ are some
constants and the function $\gamma (L_A/L)$ that is not known analytically
is supposed to reflect some universality. We compute $\gamma (L_A/L)$
numerically and compare the results to several candidate functions derived
from Quantum Lifshitz model, anti de-Sitter gravity in $3+1$
dimensions, and an Extensive Mutual Information model. Using lattices of
different size, we explore the finite-size-scaling behaviour of
the residuals for each fit, to attempt to discern which function
most effectively describes the thermodynamic limit of the free
boson system.
Authors
Caleb Cook
(Perimeter Institute for Theoretical Physics)
Denis Dalidovich
(Perimeter Institute for Theoretical Physics)
Etienne Lantagne-Hurtubise
(Perimeter Institute for Theoretical Physics)
Lauren Hayward-Sierens
(Perimeter Institute for Theoretical Physics)
Leilee Chojnacki
(Perimeter Institute for Theoretical Physics)
Roger Melko
(University of Waterloo)
Tiffany Vlaar
(Perimeter Institute for Theoretical Physics)
