Geometric Phase Transition: direct measurement of a mathematical abstraction

Details Geometric Phase Transition: direct measurement of a mathematical abstraction Geometric Phase Transition: direct measurement of a mathematical abstraction

2005-10-11

arxiv.org/abs/quant-ph/0510068v3

Physics

Quantum Physics

3 text pages, 7 figures, submited to Nature Physics. V2: Just an aesthetic change! V3: new abstract, references added, shorter

Scientific paper

By viewing entanglement as a state function, a new kind of phase transition takes place: the geometric phase transition. This phenomenon occurs due to singularities in the shape of the entangled states set. It is shown how this result can be carried to provide a better understanding of the geometry of entanglement. Surprisingly, this study can be done experimentally, what allows to determine the shape of different entangled states sets, a purely mathematical definition, in real experiments.

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