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arXiv quant-ph/0612140quant-ph
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经典均匀引力场作用下Jaynes-Cummings模型的量子统计性质

Quantum statistical properties of the Jaynes-Cummings model in the presence of a classical homogeneous gravitational field

M. Mohammadi, M. H. Naderi, M. Soltanolkotabi

摘要:

在Jaynes-Cummings模型的框架下,研究了经典均匀引力场作用下原子-辐射场相互作用系统的量子统计性质的时间演化.为了分析原子-辐射系统的动力学演化,基于一种可供选择的su(2)动力学代数结构,给出了原子内外动力学的量子处理方法。通过求解相互作用图中的薛定谔方程,得到了系统的演化态,并由此探讨了引力场对原子辐射系统动力学行为的影响。假设初始辐射场处于相干态,二能级原子处于激发态和基态的相干叠加态,研究了引力对辐射场的原子布居数反转、原子偶极压缩、原子动量扩散、光子计数统计和正交压缩等坍缩和回复的影响.

英文摘要:

The temporal evolution of quantum statistical properties of an interacting atom-radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes-Cummings model. To analyse the dynamical evolution of the atom-radiation system a quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving the Schrödinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behavior of the atom-radiation system is explored. Assuming that initially the radiation field is prepared in a coherent state and the two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on the collapses and revivals of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field is studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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