Maximal distant entanglement in Kitaev tube

TL;DR

This paper demonstrates that the Kitaev model on a finite lattice with specific boundary conditions supports perfectly localized Majorana bound states that are maximally entangled across the edges, regardless of system size.

Contribution

It reveals the conditions under which maximal edge entanglement occurs in the Kitaev model, linking Majorana bound states to perfect entanglement in a finite system.

Findings

Support for perfect Majorana bound states in the specified Kitaev model.

Edge modes are always maximally entangled, independent of system size.

Edge-mode fermionic operators and pseudo-spin representations elucidate entanglement properties.

Abstract

We study the Kitaev model on a finite-size square lattice with periodic boundary conditions in one direction and open boundary conditions in the other. Based on the fact that the Majorana representation of Kitaev model is equivalent to a brick wall model under the condition $t=\Delta =\mu $, this system is shown to support perfect Majorana bound states which is in strong localization limit. By introducing edge-mode fermionic operator and pseudo-spin representation, we find that such edge modes are always associated with maximal entanglement between two edges of the tube, which is independent of the size of the system.