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2003 | 1 | 2 | 289-306
Article title

Entanglement in the second quantization formalism

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EN
Abstracts
EN
We study properties of entangled systems in the (mainly non-relativistic) second quantization formalism. This is then applied to interacting and non-interacting bosons and fermions and the differences between the two are discussed. We present a general formalism to show how entanglement changes with the change of modes of the system. This is illustrated with examples such as the Bose condensation and the Unruh effect. It is then shown that a non-interacting collection of fermions at zero temperature can be entangled in spin, providing that their distances do not exceed the inverse Fermi wavenumber. Beyond this distance all bipartite entanglement vanishes, although classical correlations still persist. We compute the entanglement of formation as well as the mutual information for two spin-correlated electrons as a function of their distance. The analogous, non-interacting collection of bosons displays no entanglement in the internal degrees of freedom. We show how to generalize our analysis of the entanglement in the internal degrees of freedom to an arbitrary number of particles.
Publisher

Journal
Year
Volume
1
Issue
2
Pages
289-306
Physical description
Dates
published
1 - 6 - 2003
online
1 - 6 - 2003
Contributors
author
  • Optics Section, The Blackett Laboratory, Imperial College, SW7 2BZ, London, UK, v.vedral@ic.ac.uk
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_BF02476298
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