Influence of Lorentz-violating terms on a two-level system

TL;DR

This paper investigates how Lorentz- and CPT-violating terms in the extended Standard Model affect a two-level quantum system, revealing modifications in Rabi oscillations and establishing bounds on these violations.

Contribution

It demonstrates that Lorentz-violating backgrounds can induce observable effects in two-level systems, including oscillations without electromagnetic fields, and sets experimental bounds on these violations.

Findings

Lorentz-violating terms modify Rabi oscillations.

Backgrounds induce oscillations in energy and spin states.

Upper bounds on Lorentz-violating coefficients are established.

Abstract

The influence of Lorentz- and CPT-violating terms of the extended Standard Model on a semi-classical two-level system is analyzed. It is shown that the Lorentz-violating background (when coupled with the fermion sector in a vector way) is able to induce modifications on the Rabi oscillation pattern, promoting sensitive modulations on the usual oscillations. As for the term involving the coefficient coupled in an axial vector way, it brings about oscillations both on energy states and on the spin states (implied by the background). It is also seen that such backgrounds are able to yield state oscillations even in the absence of the electromagnetic field. The foreseen effects are used to establish upper bounds on the Lorentz-violating coefficients.