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arXiv 1102.1765quant-ph
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量子场介导的非平衡原子-介电力

Nonequilibrium Atom-Dielectric Forces Mediated by a Quantum Field

Ryan Orson Behunin, Bei-Lok Hu

摘要:

在本文中,我们给出了一个原子,作为一个三维谐振子,和一个体介电介质模型作为一个连续的晶格耦合到一个水库之间的非平衡力的第一性原理微观物理推导。我们假设原子和介质之间没有直接的相互作用,但存在通过共同的电磁场传输的相互影响。通过采用开放量子系统的概念和技术,我们引入粗粒化的物理变量-介质,量子场和原子的内部自由度,在该顺序-提取其平均效果从最低层逐步到顶层。第一层的粗粒化提供了平均效果的介质上的字段,量化的复介电常数(在频域中)描述的响应的电介质的字段,除了它的反作用的字段通过随机强制项。对原子内部自由度的最后一层粗粒化导致原子质心的运动方程,从该方程我们可以导出作用在原子上的力。我们的非平衡配方提供了一个完整的动力学描述原子的运动,包括从所有其他相关变量的反作用效果。在长时间极限下,我们恢复了系统处于平衡态或非平衡定态时原子-介质力的已知结果。

英文摘要:

In this paper we give a first principles microphysics derivation of the nonequilibrium forces between an atom, treated as a three dimensional harmonic oscillator, and a bulk dielectric medium modeled as a continuous lattice of oscillators coupled to a reservoir. We assume no direct interaction between the atom and the medium but there exist mutual influences transmitted via a common electromagnetic field. By employing concepts and techniques of open quantum systems we introduce coarse-graining to the physical variables - the medium, the quantum field and the atom's internal degrees of freedom, in that order - to extract their averaged effects from the lowest tier progressively to the top tier. The first tier of coarse-graining provides the averaged effect of the medium upon the field, quantified by a complex permittivity (in the frequency domain) describing the response of the dielectric to the field in addition to its back action on the field through a stochastic forcing term. The last tier of coarse- graining over the atom's internal degrees of freedom results in an equation of motion for the atom's center of mass from which we can derive the force on the atom. Our nonequilibrium formulation provides a fully dynamical description of the atom's motion including back action effects from all other relevant variables concerned. In the long-time limit we recover the known results for the atom-dielectric force when the combined system is in equilibrium or in a nonequilibrium stationary state.

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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