Gaussian fidelity distorted by external fields

TL;DR

This paper investigates how external magnetic-like and gravitational fields cause decoherence in Gaussian quantum states, affecting quantum fidelity and entropy, with implications for noncommutative quantum mechanics.

Contribution

It provides a detailed analysis of how external fields influence quantum fidelity and entropy in Gaussian states, linking decoherence effects to noncommutative quantum mechanics.

Findings

External fields destroy quantum fidelity in Gaussian states.

Quantum beating behavior emerges due to external field interactions.

Magnetic-like field effects are suppressed in gravitational quantum wells.

Abstract

Gaussian state decoherence aspects due to interacting magnetic-like and gravitational fields are quantified through the quantum fidelity and Shannon entropy in the scope of the phase-space representation of elementary quantum systems. For Gaussian Wigner functions describing harmonic oscillator states, an interacting external field destroys the quantum fidelity and introduces a quantum beating behavior. Likewise, it introduces harmonic profiles for free particle systems. Some aspects of quantum decoherence for the quantum harmonic oscillator and for the free particle limit are also quantified through the Shannon entropy. For the gravitational quantum well, the effect of a magnetic-like field on the quantum fidelity is suppressed by the linear term of the gravitational potential. To conclude, one identifies a fine formal connection of the quantum decoherence aspects discussed here with the noncommutative quantum mechanics.