Quantum Phase Shift in Chern-Simons Modified Gravity

TL;DR

This paper evaluates the quantum phase shift of de Broglie waves in neutron interferometry under Chern-Simons modified gravity, combining effects from various gravitational influences, but finds the new effects too small for current observation.

Contribution

It introduces a unified semiclassical approach to quantify the quantum phase shift incorporating Chern-Simons gravity effects, highlighting their negligible observational impact.

Findings

Chern-Simons effects on phase shift are extremely small

Unified formula combines Newtonian, inertial, Schwarzschild, and Chern-Simons effects

Approximations and limitations of the non-dynamical approach are discussed

Abstract

Using a unified approach of optical-mechanical analogy in a semiclassical formula, we evaluate the effect of Chern-Simons modified gravity on the quantum phase shift of de Broglie waves in neutron interferometry. The phase shift calculated here reveals, in a single equation, a combination of effects coming from Newtonian gravity, inertial forces, Schwarzschild and Chern-Simons modified gravity. However the last two effects, though new, turn out to be too tiny to be observed, and hence only of academic interest at present. The approximations, wherever used, as well as the drawbacks of the non-dynamical approach are clearly indicated.