Open system approach to Neutrino oscillations in a quantum walk framework

TL;DR

This paper introduces an open quantum system approach to simulate neutrino oscillations using quantum walks, connecting the dynamics of reduced coin states with neutrino phenomenology and analyzing entanglement behavior.

Contribution

It develops a novel open quantum system framework for neutrino oscillation simulation within quantum walks, linking reduced coin dynamics to experimental parameters and entanglement measures.

Findings

Derived recurrence relations for Kraus operators modeling neutrino flavor change.

Established a connection between reduced coin state dynamics and neutrino phenomenology.

Analyzed linear entropy to study entanglement between neutrino flavors.

Abstract

Quantum simulation provides a computationally-feasible approach to model and study many problems in chemistry, condensed-matter physics, or high-energy physics where quantum phenomenon define the systems behaviour. In high-energy physics, quite a few possible applications are investigated in the context of gauge theories and their application to dynamic problems, topological problems, high-baryon density configurations, or collective neutrino oscillations. In particular, schemes for simulating neutrino oscillations are proposed using a quantum walk framework. In this study, we approach the problem of simulating neutrino oscillation from the perspective of open quantum systems by treating the position space of quantum walk as environment. We have obtained the recurrence relation for Kraus operator which is used to represent the dynamics of the neutrino flavor change in the form of reduced coin states. We establish a connection between the dynamics of reduced coin state and neutrino phenomenology, enabling one to fix the simulation parameters for a given neutrino experiment and reduces the need for extended position space to simulate neutrino oscillations. We have also studied the behavior of linear entropy as a measure of entanglement between different flavors in the same framework.