Entanglement in indistinguishable particle systems

Entanglement in single-particle systems

We address some of the most commonly raised questions about entanglement, especially with regard to the so-called occupation number entanglement. To answer unambiguously whether entanglement can exist in a one-atom delocalized state, we propose an experiment capable of showing violations of Bell’s inequality using only this state and local operations. We review previous discussions for one-phot...

Canonical entanglement for two indistinguishable particles

We determine the degree of entanglement for two indistinguishable particles based on the tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects the canonical entanglement and entanglement based on occupation number for two fermions and for two bosons and shows that the entanglement measure, based on linear entropy, is...

Distinguishable-and Indistinguishable-particle Descriptions of Systems of Identical Particles

The problem of distinguishability of identical particles is considered from both experimental and theoretical points ofview. It is argued that distinguishability has to be defined relative to a definite set of experiments and that the criterion by which the particies are distinguished should be specified. Faiiure to do so may cause mismatching between theory and experiment. On the theoretical l...

Particle partitioning entanglement in itinerant many-particle systems

For itinerant fermionic and bosonic systems, we study ‘particle entanglement’, defined as the entanglement between two subsets of particles making up the system. We formulate the general structure of particle entanglement in many-fermion ground states, analogous to the ‘area law’ for the more usually studied entanglement between spatial regions. Basic properties of particle entanglement are unc...

Entanglement of indistinguishable particles in condensed-matter physics