Criteria for two distinguishable fermions to behave like a boson

Details Criteria for two distinguishable fermions to behave like a boson Criteria for two distinguishable fermions to behave like a boson

2011-03-07

arxiv.org/abs/1103.1206v1

Physical Review A, 84, 034304 (2011)

Physics

Quantum Physics

6 pages, 1 figure (in color)

Scientific paper

We study the necessary conditions for bosons composed of two distinguishable fermions to exhibit bosonic-like behaviour. We base our analysis on tools of quantum information theory such as entanglement and the majorization criterion for probability distributions. In particular we scrutinize a recent interesting hypothesis by C. K. Law in the Ref. Phys. Rev. A 71, 034306 (2005) that suggests that the amount of entanglement between the constituent fermions is related to the bosonic properties of the composite boson. We show that a large amount of entanglement does not necessarily imply a good boson-like behaviour by constructing an explicit counterexample. Moreover, we identify more precisely the role entanglement may play in this situation.

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