Criteria for two distinguishable fermions to behave like a boson
Abstract
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.
Keywords
Cite
@article{arxiv.1103.1206,
title = {Criteria for two distinguishable fermions to behave like a boson},
author = {Ravishankar Ramanathan and Pawel Kurzynski and Tan Kok Chuan and Marcelo F. Santos and Dagomir Kaszlikowski},
journal= {arXiv preprint arXiv:1103.1206},
year = {2013}
}
Comments
6 pages, 1 figure (in color)