Effective separability of typical entangled many-body states

Details Effective separability of typical entangled many-body states Effective separability of typical entangled many-body states

2009-07-02

arxiv.org/abs/0907.0386v1

Physics

Quantum Physics

Scientific paper

We consider two systems of harmonically trapped particles in a typical pure state of the Hilbert space defined by given values of the particle numbers and energies of the two gases. Such a state is entangled but we show that, for large systems, the resulting correlations between the two gases are identical to those of a separable mixture. This result can be generalized to other physical systems. We discuss the relation of this effective separability to the well-known existence of quantum correlations in any entangled state. We study in detail a small bipartite system and find that its correlations are well explained by the large systems results.

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