The definition of entanglement in identical-particle system is introduced. The separability criterion in two-identical-particle system is given. The physical meaning of the definition is analyzed. Applications to two-boson and two-fermion systems are made. It is found that some different entanglement and correlation phenomena in identical-boson systems exist, and they may have applications in the field of quantum information.

arXiv:quant-ph/0104101Physical Review AOct 15, 2001159 citations

Undergraduate lecture notes in physics

Identical Particles, Bosons and Fermions

Pedro Pereyra Padilla

Published Jan 1, 2012• 1 citation

Publisher

DOI: 10.1007/978-3-642-29378-8_13

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In this paper we study the number of states with given spin for identical particles, denoted as

{D}_{I}^{n}(l)

for bosons and as

{\mathcal{D}}_{I}^{n}(j)

for fermions, where

I

is the total angular momentum of the system,

n

is the particle number,

l

is the spin of a single boson, and

j

is the spin of a single fermion. We derive relations of

{D}_{I}^{n}(l)

and

{\mathcal{D}}_{I}^{n}(j)

; in particular, we obtain recursive and explicit formulas of

{D}_{I}^{n}(l)

and

{\mathcal{D}}_{I}^{n}(j)

in terms of those for $n\ensuremath{-}1$ particles and apply them to systems of two, three, and five identical particles.