Not-so-normal mode decomposition

Details Not-so-normal mode decomposition Not-so-normal mode decomposition

2007-07-04

arxiv.org/abs/0707.0604v2

Phys. Rev. Lett. 100, 070505 (2008)

Physics

Quantum Physics

4 pages, 2 figures, published version

Scientific paper

10.1103/PhysRevLett.100.070505

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.

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