Entanglement in indistinguishable particle systems
- URL: http://arxiv.org/abs/2007.06253v2
- Date: Wed, 23 Sep 2020 10:28:22 GMT
- Title: Entanglement in indistinguishable particle systems
- Authors: F. Benatti, R. Floreanini, F. Franchini, U. Marzolino
- Abstract summary: Indistinguishability of identical particles hinders their individual addressability and has prompted diverse, sometimes discordant definitions of entanglement.
We show that only the latter approach is consistent with all three criteria, each of the others indeed violating at least one of them.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: For systems consisting of distinguishable particles, there exists an agreed
upon notion of entanglement which is fundamentally based on the possibility of
addressing individually each one of the constituent parties. Instead, the
indistinguishability of identical particles hinders their individual
addressability and has prompted diverse, sometimes discordant definitions of
entanglement. In the present review, we provide a comparative analysis of the
relevant existing approaches, which is based on the characterization of
bipartite entanglement in terms of the behaviour of correlation functions. Such
a a point of view provides a fairly general setting where to discuss the
presence of non-local effects; it is performed in the light of the following
general consistency criteria: i) entanglement corresponds to non-local
correlations and cannot be generated by local operations; ii) when, by
"freezing" suitable degrees of freedom, identical particles can be effectively
distinguished, their entanglement must reduce to the one that holds for
distinguishable particles; iii) in absence of other quantum resources, only
entanglement can outperform classical information protocols. These three
requests provide a setting that allows to evaluate strengths and weaknesses of
the existing approaches to indistinguishable particle entanglement and to
contribute to the current understanding of such a crucial issue. Indeed, they
can be classified into five different classes: four hinging on the notion of
particle and one based on that of physical modes. We show that only the latter
approach is consistent with all three criteria, each of the others indeed
violating at least one of them.
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