标题： 高斯保真度受外部场的影响 显示英文标题

标题： Gaussian fidelity distorted by external fields

摘要： 通过量子保真度和香农熵，在初等量子系统的相空间表示范围内量化了由于相互作用的类似磁场和引力场导致的高斯态退相干特性。 对于描述谐振子态的高斯维格纳函数，相互作用的外场会破坏量子保真度并引入量子拍频行为。 同样地，它也会为自由粒子系统引入简谐轮廓。 量子谐振子和自由粒子极限下的某些量子退相干特性也可以通过香农熵来量化。 对于引力量子阱，类似磁场对量子保真度的影响被引力势的线性项所抑制。 总之，可以识别出这里讨论的量子退相干特性与非交换量子力学之间的一种精细形式上的联系。 显示英文摘要

摘要： 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.