Identical classical particles: half fermions and half bosons

Abstract

We study the problem of particle indistinguishability for the three cases known in nature: identical classical particles, identical bosons and identical fermions. By exploiting the fact that different types of particles are associated with Hilbert space vectors with different symmetries, we establish some relations between the expectation value of several different operators, as the particle number one and the interparticle correlation one, evaluated for states of a pair of identical (a) classical particles, (b) bosons and (c) fermions. We find that the quantum behavior of a pair of identical classical particles has exactly half fermionic and half bosonic characteristics.

5 pages, 1 figure

References in corpus (5)

• Experimental Boson Sampling
• Experimental boson sampling in arbitrary integrated photonic circuits
• Entanglement in fermionic systems
• General rules for bosonic bunching in multimode interferometers
• Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles

Cited by in corpus (7)

• Interference of Identical Particles from Entanglement to Boson-Sampling
• Tight bound on trace distance between a realistic device with partially indistinguishable bosons and the ideal Boson Sampling
• Back and forth from Fock space to Hilbert space: a guide for commuters
• Fermionic ghost imaging
• A probabilistic view of wave-particle duality for single photons
• Second-order Fermionic Interference with Independent Photons
• Ruling out the class of statistical processes involving two noninteracting identical particles in two modes