Entanglement of electron pairs extracted from a many-body system

Abstract

Entanglement of spins is analyzed for two electrons extracted from a mixed many electron state by projecting onto the two-electron subspace. The concurrence formulae are expressed in a compact form for states with a well defined square of the total spin projection. As an example, the thermal entanglement for a qubit pair with an anisotropic Heisenberg and the Dzyaloshinskii-Moriya interactions in an inhomogeneous magnetic field is given analytically. Remarkably, the concurrence of a pair of electrons with antiparallel spins and in a delocalised orbital state is given by the scalar product of the state with its spin-flipped state and not with the time-reversed state.

References in corpus (7)

• Coherent control of a single electron spin with electric fields
• Entanglement Theory and the Second Law of Thermodynamics
• Linear entropy as an entanglement measure in two-fermion systems
• Kondo effect in double quantum dots with inter-dot repulsion
• Ensemble averaged entanglement of two-particle states in Fock space
• Entanglement of two delocalised electrons
• Quantum entanglement generation with surface acoustic waves

Cited by in corpus (5)

• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Entanglement switching via the Kondo effect in triple quantum dots
• Thermal entanglement in a triple quantum dot system
• Thermal entanglement of Hubbard dimers in the nonextensive statistics
• Quantum Information Aspects on Bulk and Nano Interacting Fermi System: Spin-Space Density Matrix Approach