This paper studies decoherence without dissipation of charged magneto-oscillator in the framework of quantum non-demolition type interaction in non-commutative phase-space. The master equation is derived considering the non-commutativity effects of a bath of harmonic oscillators to study the dynamics of such a system, and its possible exact solution is presented. By analyzing this solution, it turns out that the process involving decoherence without energy dissipation can be observed explicitly. In addition, the decoherence factor and the measure of coherence via linear entropy dynamic are deduced for two types of reservoir, namely the ohmic and super-ohmic reservoirs at low and high temperature limits. Numerical results obtained show that the coherence is better preserved in the system when non-commutativity effects are taken into account at low temperature, while the inverse phenomenon is observed at high temperature. Moreover, by kindly adjusting the non-commutative parameters, it is possible to improve the coherence time scale of the system. Another interesting result can be observed from the system’s coherence time scale, which is very sensitive to the magnetic field and thus adding to non-commutative parameters, it may be useful to control decoherence in the system.

本文在非对易相空间中的量子非破坏型相互作用框架下研究了带电磁振荡器不耗散的退相干。推导主方程考虑谐振子浴的非交换性效应以研究此类系统的动力学，并给出其可能的精确解。通过分析该解决方案，可以明确地观察到涉及没有能量耗散的退相干过程。此外，还推导出了两种类型的储层，即低温和高温极限下的欧姆和超欧姆储层的退相干因子和通过线性熵动力学的相干性度量。得到的数值结果表明，在低温下考虑非交换性效应时，系统能更好地保持相干性，而在高温下观察到逆现象。此外，通过调整非交换参数，可以提高系统的相干时间尺度。从系统的相干时间尺度可以观察到另一个有趣的结果，它对磁场非常敏感，因此增加了非交换参数，控制系统中的退相干可能很有用。