Dirac Cat States in Relativistic Landau Levels

TL;DR

This paper introduces Dirac cat states, a relativistic analog of Schrödinger cat states, formed in relativistic Landau levels under magnetic fields, highlighting their purely relativistic origin and potential for quantum information applications.

Contribution

It demonstrates the creation of Dirac cat states in relativistic Landau levels, revealing their unique relativistic nature and potential for advancing relativistic quantum mechanics.

Findings

Dirac cat states are formed in relativistic Landau levels.

These states have a purely relativistic origin.

They do not exist in the non-relativistic limit.

Abstract

We show that a relativistic version of Schrodinger cat states, here called Dirac cat states, can be built in relativistic Landau levels when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions, the associated Dirac equation produces unitarily Dirac cat states involving the orbital quanta of the particle in a well defined mesoscopic regime. We demonstrate that the proposed Dirac cat states have a purely relativistic origin and cease to exist in the non-relativistic limit. In this manner, we expect to open relativistic quantum mechanics to the rich structures of quantum optics and quantum information.