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Open Quantum Systems Decoherence
Not-so-normal mode decomposition
arXiv
Authors: Michael M. Wolf
Year
2007
Paper ID
49762
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
Abstract
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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2007 reference point for readers tracking recent quantum research.
- We provide a generalization of the normal mode decomposition for non-symmetric or locality constrained situations.
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