Entropic entanglement criteria for Fermion systems |
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| Authors: | C Zander A R Plastino M Casas A Plastino |
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| Institution: | 1.Physics Department,University of Pretoria,Pretoria,South Africa;2.Instituto Carlos I de Física Teórica y Computacional and Departamento de Fisica Atomica, Molecular y Nuclear,University of Granada,Granada,Spain;3.UNLP-CREG-IFILP-CONICET,National University La Plata,La Plata,Argentina;4.Departament de Física,Universitat de les Illes Balears and IFISC-CSIC,Palma de Mallorca,Spain |
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| Abstract: | Entanglement criteria for general (pure or mixed) states of systems consisting of two
identical fermions are introduced. These criteria are based on appropriate inequalities
involving the entropy of the global density matrix describing the total system, on the one
hand, and the entropy of the one-particle reduced density matrix, on the other hand. A
majorization-related relation between these two density matrices is obtained, leading to a
family of entanglement criteria based on Rényi’s entropic measure. These criteria are
applied to various illustrative examples of parametrized families of mixed states. The
dependence of the entanglement detection efficiency on Rényi’s entropic parameter is
investigated. The extension of these criteria to systems of N identical
fermions is also considered. |
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