Bosonic behavior of entangled fermions

Abstract

Two bound, entangled fermions form a composite boson, which can be treated as an elementary boson as long as the Pauli principle does not affect the behavior of many such composite bosons. The departure of ideal bosonic behavior is quantified by the normalization ratio of multi-composite-boson states. We derive the two-fermion-states that extremize the normalization ratio for a fixed single-fermion purity P, and establish general tight bounds for this indicator. For very small purities, P<1/N^2, the upper and lower bounds converge, which allows to quantify accurately the departure from perfectly bosonic behavior, for any state of many composite bosons.

9 pages, 5 figures, accepted by PRA

References in corpus (3)

• Observation of Bose-Einstein Condensation of Molecules
• Aspects of generic entanglement
• Compositeness effects, Pauli's principle and entanglement

Cited by in corpus (10)

• Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
• Collective interference of composite two-fermion bosons
• Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
• Composite-boson approach to molecular Bose-Einstein condensates in mixtures of ultracold Fermi gases
• Fermionic versus bosonic behavior of confined Wigner molecules
• Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
• Influence of the Pauli exclusion principle on scattering properties of cobosons
• On the description of composite bosons in discrete models
• Ground state of composite bosons in low-dimensional graphs
• Nonlocal bunching of composite bosons