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Minimal bosonization of double-graded supersymmetric quantum mechanics
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abstract
The superalgebra of $\Z_2^2$-graded supersymmetric quantum mechanics is shown to be realizable in terms of a single bosonic degree of freedom. Such an approach is directly inspired by a description of the corresponding $\Z_2$-graded superalgebra in the framework of a Calogero-Vasiliev algebra or, more generally, of a generalized deformed oscillator algebra. In the case of the $\Z_2^2$-graded superalgebra, the central element $Z$ has the property of distinguishing between degenerate eigenstates of the Hamiltonian.
Forward citations
Cited by 2 Pith papers
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On the detectability of paraparticles beyond bosons and fermions
The paper argues that Z2xZ2-graded paraparticles are theoretically detectable through two-particle observables, and sketches a minimal experimental protocol.
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On braid statistics versus parastatistics
A report on results that claim to refute the conventionality of parastatistics using 2-bit paraparticles, plus a review of braided Majorana qubits for topological quantum computation.
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