Bell inequality for pairs of particle-number-superselection-rule restricted states

Details Bell inequality for pairs of particle-number-superselection-rule restricted states Bell inequality for pairs of particle-number-superselection-rule restricted states

2010-06-14

arxiv.org/abs/1006.2759v2

Phys. Rev. A, 82, 042116 (2010)

Physics

Quantum Physics

9 pages, 6 figures; v2 is the published version

Scientific paper

Proposals for Bell inequality tests on systems restricted by superselection rules often require operations that are difficult to implement in practice. In this paper, we derive a new Bell inequality, where pairs of states are used to by-pass the superselection rule. In particular, we focus on mode entanglement of an arbitrary number of massive particles and show that our Bell inequality detects the entanglement in the pair when other inequalities fail. However, as the number of particles in the system increases, the violation of our Bell inequality decreases due to the restriction in the measurement space caused by the superselection rule. This Bell test can be implemented using techniques that are routinely used in current experiments.

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