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arXiv 0707.0604quant-phmath-phmath.MP
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非正态模分解

Not-so-normal mode decomposition

Michael M. Wolf

摘要:

我们提供了一个推广的正常模式分解的非对称或局部约束的情况下。例如,这允许局部解耦任意相关振荡器的二分区集合,直到所有相关性被压缩到其中的基本对。同样,它使我们能够解耦的多模式通道的相互作用部分成单模和对相互作用,后者被证明是一个明确的签名之间的挤压系统和环境。在数学术语中,结果是关于实辛等价变换的标准矩阵形式。

英文摘要:

We provide a generalization of the normal mode decomposition for non-symmetric or locality constrained situations. This allows for instance to locally decouple a bipartitioned collection of arbitrarily correlated oscillators up to elementary pairs into which all correlations are condensed. Similarly, it enables us to decouple the interaction parts of multi-mode channels into single-mode and pair-interactions where the latter are shown to be a clear signature of squeezing between system and environment. In mathematical terms the result is a canonical matrix form with respect to real symplectic equivalence transformations.

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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