Quantum Zeno effect and the detection of gravitomagnetism

TL;DR

This paper proposes experimental methods to explore how Earth's gravitomagnetic field influences spin-1/2 quantum systems, potentially inducing Rabi transitions and a quantum Zeno effect, thus linking gravitomagnetism with quantum spin dynamics.

Contribution

It introduces novel experimental proposals to detect the effects of Earth's gravitomagnetic field on quantum spin systems, including derivations of Rabi transitions and quantum Zeno effect expressions.

Findings

Gravitomagnetism can induce Rabi transitions in spin-1/2 systems.

Gravitomagnetic field can lead to a quantum Zeno effect in these systems.

Theoretical expressions linking gravitomagnetism with quantum spin dynamics are derived.

Abstract

In this work we introduce two experimental proposals that could shed some light upon the inertial properties of intrinsic spin. In particular we will analyze the role that the gravitomagnetic field of the Earth could have on a quantum system with spin 1/2. We will deduce the expression for Rabi transitions, which depend, explicitly, on the coupling between the spin of the quantum system and the gravitomagnetic field of the Earth. Afterwards, the continuous measurement of the energy of the spin 1/2 system is considered, and an expression for the emerging quantum Zeno effect is obtained. Thus, it will be proved that gravitomagnetism, in connection with spin 1/2 systems, could induce not only Rabi transitions but also a quantum Zeno effect.