Entanglement, identical particles and the uncertainty principle

Abstract

A new uncertainty relation (UR) is obtained for a system of N identical pure entangled particles if we use symmetrized observables when deriving the inequality. This new expression can be written in a form where we identify a term which explicitly shows the quantum correlations among the particles that constitute the system. For the particular cases of two and three particles, making use of the Schwarz inequality, we obtain new lower bounds for the UR that are different from the standard one.

5 pages, no figure; v2: title, abstract, and focus slightly changed; a couple of sections rewritten and a new one added; published version

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