Microscopic derivation of open quantum walk on two node graph

TL;DR

This paper derives a microscopic model for open quantum walks on a two-node graph, resulting in a generalized master equation and explicit quantum coin operators, demonstrated with a two-level system example.

Contribution

It provides a detailed microscopic derivation of open quantum walks, including explicit quantum coin operators, for a two-node graph system.

Findings

Derivation of a generalized master equation for the system

Explicit form of quantum coin operators obtained

Application demonstrated on a two-level system

Abstract

A microscopic derivation of an open quantum walk on a two node graph is presented. It is shown that for the considered microscopic model of the system-bath interaction the resulting quantum master equation takes the form of a generalized master equation. The explicit form of the "quantum coin" operators is derived. The formalism is demonstrated for the example of a two-level system walking on a two-node graph.