Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.
 

Local topological order inhibits thermal stability in 2D



Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other f4v compatible player.


Recording Details

Scientific Areas: 
Collection/Series: 
PIRSA Number: 
12120010

Abstract

We study the robustness of quantum information stored in
the degenerate ground space of a local, frustration-free Hamiltonian with
commuting terms on a 2D spin lattice. On one hand, a macroscopic energy barrier
separating the distinct ground states under local transformations would protect
the information from thermal fluctuations. On the other hand, local topological
order would shield the ground space from static perturbations.

Here we demonstrate that local topological order implies
a constant energy barrier, thus inhibiting thermal stability. Joint work with
David Poulin.

arXiv:1209.5750