Open system approach to Neutrino oscillations in a quantum walk
framework
- URL: http://arxiv.org/abs/2305.13923v2
- Date: Wed, 3 Jan 2024 10:35:26 GMT
- Title: Open system approach to Neutrino oscillations in a quantum walk
framework
- Authors: Himanshu Sahu, C. M. Chandrashekar
- Abstract summary: We study the problem of simulating neutrino oscillation from the perspective of open quantum systems.
We establish a connection between the dynamics of reduced coin state and neutrino phenomenology.
We have also studied the behavior of linear entropy as a measure of entanglement between different flavors in the same framework.
- Score: 3.0715281567279153
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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