Entanglement Induced Fluctuations of Cold Bosons

Abstract

We show that due to entanglement, quantum fluctuations may differ significantly from statistical fluctuations. We calculate quantum fluctuations of the particle number and of the energy in a sub-volume of a system of bosons in a pure state, and briefly discuss the possibility of measuring them. We find that energy fluctuations have a non-extensive nature.Comment: Replaced with published version. Added calculations, explanations and clarifications, results unchange