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arXiv 1008.4591quant-phcond-mat.mes-hallphysics.optics
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共轭可观量联合测量的强对应原理

Strong correspondence principle for joint measurement of conjugate observables

Antonio Di Lorenzo

摘要:

证明了在量子力学中,如果用Wigner函数代替联合经典几率,并考虑系统与探测器之间的相互作用,则两个共轭变量联合测量的统计量可以用一个与经典方程完全相同的方程表示.这构成了Escherfest对应原理的一个推广,因而被称为强对应原理。此外,它被证明,检测器提供了一个加法项的所有累积量,如果他们准备在高斯状态,他们只有助于第一和第二累积量。

英文摘要:

It is demonstrated that the the statistics for a joint measurement of two conjugate variables in Quantum Mechanics are expressed through an equation identical to the classical one, provided that joint classical probabilities are substituted by Wigner functions and that the interaction between system and detectors is accounted for. This constitutes an extension of Ehrenfest correspondence principle, and it is thereby dubbed strong correspondence principle. Furthermore, it is proved that the detectors provide an additive term to all the cumulants, and that if they are prepared in a Gaussian state they only contribute to the first and second cumulant.

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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