Gaussian fidelity distorted by external fields
arXiv:1510.02929 · doi:10.1016/j.physa.2015.10.033
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.
18 pages, 4 figures
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Cited by in corpus (6)
- Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
- Heat flow and noncommutative quantum mechanics in phase-space
- Noncommutative phase-space effects in thermal diffusion of Gaussian states
- Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators
- Quantum information aspects of noncommutative quantum mechanics
- Path-integral action of a particle in the noncommutative phase-space