Entanglement in fermionic systems

Details Entanglement in fermionic systems Entanglement in fermionic systems

2007-05-08

arxiv.org/abs/0705.1103v1

Physical Review A 76, 022311 (2007)

Physics

Quantum Physics

13 pages, 3 figures, 4 tables

Scientific paper

10.1103/PhysRevA.76.022311

The anticommuting properties of fermionic operators, together with the presence of parity conservation, affect the concept of entanglement in a composite fermionic system. Hence different points of view can give rise to different reasonable definitions of separable and entangled states. Here we analyze these possibilities and the relationship between the different classes of separable states. We illustrate the differences by providing a complete characterization of all the sets defined for systems of two fermionic modes. The results are applied to Gibbs states of infinite chains of fermions whose interaction corresponds to a XY-Hamiltonian with transverse magnetic field.

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