Effective separability of typical entangled many-body states
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2009
- DOI:
- 10.48550/arXiv.0907.0386
- arXiv:
- arXiv:0907.0386
- Bibcode:
- 2009arXiv0907.0386C
- Keywords:
-
- Quantum Physics