Canonical entanglement for two indistinguishable particle

Abstract

We determine the degree of entanglement for two indistinguishable particles based on the two-qubit tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects canonical entanglement and entanglement based on occupation number for two fermions and for two bosons and shows that the degree of entanglement, based on linear entropy, is closely related to the correlation measure for both the bosonic and fermionic cases.

Four pages and no figures

References in corpus (6)

• The entanglement of indistinguishable particles shared between two parties
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• General criterion for the entanglement of two indistinguishable particles
• Entanglement sharing in one-particle states
• Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model
• Bipartite entanglement and localization of one-particle states

Cited by in corpus (13)

• Linear entropy as an entanglement measure in two-fermion systems
• Entanglement in indistinguishable particle systems
• Three fermions with six single particle states can be entangled in two inequivalent ways
• Entanglement dynamics of electron-electron scattering in low-dimensional semiconductor systems
• Ensemble averaged entanglement of two-particle states in Fock space
• Generalized squeezing rotating-wave approximation to the isotropic and anisotropic Rabi model in the ultrastrong-coupling regime
• Special entangled quantum systems and the Freudenthal construction
• How squeezed states both maximize and minimize the same notion of quantumness
• Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
• Entropic relations for indistinguishable quantum particles
• Multipartite entanglement in fermionic systems via a geometric measure
• Complex dynamics of photon entanglement in two-mode Jaynes-Cummings model
• Entropy and entanglement bounds for reduced density matrices of fermionic states