Enhanced Quantum Sensitivity in a Vibrating Diatomic Molecule due to Rotational Amendment

TL;DR

This paper demonstrates that rotational coupling in a vibrating diatomic molecule can significantly enhance quantum sensitivity, utilizing mesoscopic superposition states and phase-space analysis to identify optimal rotational conditions for measurement precision.

Contribution

It introduces a novel approach to improve quantum measurement sensitivity by leveraging rotational amendments in a vibrational system, supported by phase-space and numerical analysis.

Findings

Rotational coupling enhances quantum sensitivity in diatomic molecules.

Maximum sensitivity is achieved at specific rotational angles.

Phase-space Wigner representation confirms the numerical results.

Abstract

Quantum sensitivity is an important issue in the field of quantum metrology where sub-Planck scale structures play crucial role in the Heisenberg limited measurement. We investigate the mesoscopic superposition structures, particularly for well-known cat-like and compass-like states, in the rotating Morse system where sub-Planck scale structures originate in the dynamics of a suitably constructed SU(2) coherent state. A detail study of the sensitivity analysis reveals that rotational coupling in the vibrational wave packet can be used as a probe to enhance the sensitivity limit in a diatomic molecule. The maximum sensitivity limit is identified with the rotational amendment, and a quantitative measure of the angle of rotation for different rotational levels is also given. The correspondence of the numerical result with the angle of rotation is also delineated in phase-space Wigner representation.