Symmetrization Postulate and Its Experimental Foundation

Messiah, Albert; Greenberg, O. W.

doi:10.1103/physrev.136.b248

Cited by 281 publications

(180 citation statements)

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“…Identical particles, on the other hand, are essential for understanding the properties of many-particle quantum systems [3]. For systems of identical particles, fermions or bosons, however, even the very notion of entanglement is controversial [4].…”

Section: Introductionmentioning

confidence: 99%

Multipartite concurrence for identical-fermion systems

et al. 2016

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We study the problem of detecting multipartite entanglement among indistinguishable fermionic particles. A multipartite concurrence for pure states of N identical fermions, each one having a ddimensional single-particle Hilbert space, is introduced. Such entanglement measure, in particular, is optimized for maximally entangled states of three identical fermions that play a role analogous to the usual (qubit) Greenberger-Horne-Zeilinger-state. In addition, it is shown that the fermionic multipartite concurrence can be expressed as the mean value of an observable, provided two copies of the composite state are available.

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Section: Introductionmentioning

confidence: 99%

Multipartite concurrence for identical-fermion systems

et al. 2016

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“…Albert Messiah and I carried that work further over a period of two years and published two long papers on particle statistics other than Bose or Fermi. 4 Messiah and I showed that such statistics are compatible with quantum mechanics. In those novel cases, exchanging the identical particles in a multiparticle wavefunction ψ can lead to wavefunctions that differ from ψ in ways more complicated than mere multiplication by ±1.…”

Section: Beyond Bosons and Fermionsmentioning

confidence: 90%

The origin of quark color

Greenberg¹

2015

Physics Today

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“…For our model, the first such negative-probability state occurs for four particles in the representation of S 4 with three boxes in the first row and one in the second. We were able to understand Govorkov's result qualitatively as follows: [15] Since parastatistics of order p is related by a Klein transformation to a model with exact SO(p) or SU(p) internal symmetry, a deformation of parastatistics which interpolates between Fermi and parafermi statistics of order two would be equivalent to interpolating between the trivial group whose only element is the identity and a theory with SO(2) or SU (2) internal symmetry. This is impossible, since there is no such interpolating group.…”

Section: Paronsmentioning

confidence: 98%