Entanglement and Composite Bosons

Details Entanglement and Composite Bosons Entanglement and Composite Bosons

2009-08-07

arxiv.org/abs/0908.1096v2

Phys. Rev. Lett. 104, 070402 (2010)

Physics

Quantum Physics

10 pages

Scientific paper

We build upon work by C. K. Law [Phys. Rev. A 71, 034306 (2005)] to show in general that the entanglement between two fermions largely determines the extent to which the pair behaves like an elementary boson. Specifically, we derive upper and lower bounds on a quantity that governs the bosonic character of a pair of fermions when N such pairs approximately share the same wavefunction. Our bounds depend on the purity of the single-particle density matrix, an indicator of entanglement, and demonstrate that if the entanglement is sufficiently strong, the quantity in question approaches its ideal bosonic value.

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