Entanglement and Composite Bosons

Abstract

We build upon work by C. K. Law [Phys. Rev. A 71, 034306 (2005)] to show in general that the entanglement between two fermions largely determines the extent to which the pair behaves like an elementary boson. Specifically, we derive upper and lower bounds on a quantity that governs the bosonic character of a pair of fermions when N such pairs approximately share the same wavefunction. Our bounds depend on the purity of the single-particle density matrix, an indicator of entanglement, and demonstrate that if the entanglement is sufficiently strong, the quantity in question approaches its ideal bosonic value.

10 pages

Cited by in corpus (35)

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• Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
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• Assembly of 2N entangled fermions into multipartite composite bosons
• Composite Fermions as Deformed Oscillators: Wavefunctions and Entanglement
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• Ground state of composite bosons in low-dimensional graphs
• Partition function of N composite bosons
• Nonlocal bunching of composite bosons
• Effect of Pauli blocking on coherent states of composite bosons
• Conserved operators and exact conditions for pair condensation
• Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction
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