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arXiv quant-ph/0003044quant-phhep-thmath-phmath.MP
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干涉仪与退相干矩阵

Interferometers and Decoherence Matrices

D. Han, Y. S. Kim, Marilyn E. Noz

摘要:

结果表明,在不存在退相干效应的情况下,洛伦兹群是双光束干涉仪的自然语言。干涉仪的这个方面可以被转换成洛伦兹群的六参数表示,就像偏振光学的情况一样,其中一个光束有两个正交分量。它表明,有组的变换留下的一致性或密度矩阵不变,这种对称性的框架内制定的维格纳的小群。从纯态到不纯态的转变需要一个额外的数学装置。针对这一过程构造了退相干矩阵,并详细研究了它们的性质。这种对称性的实验测试是可能的。

英文摘要:

It is shown that the Lorentz group is the natural language for two-beam interferometers if there are no decoherence effects. This aspect of the interferometer can be translated into six-parameter representations of the Lorentz group, as in the case of polarization optics where there are two orthogonal components of one light beam. It is shown that there are groups of transformations which leave the coherency or density matrix invariant, and this symmetry property is formulated within the framework of Wigner's little groups. An additional mathematical apparatus is needed for the transition from a pure state to an impure state. Decoherence matrices are constructed for this process, and their properties are studied in detail. Experimental tests of this symmetry property are possible.

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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