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Open Quantum Systems Decoherence Quantum Simulation

Minimal bosonization of double-graded supersymmetric quantum mechanics

arXiv

Authors: C. Quesne

Year

2021

Paper ID

62386

Status

Preprint

Abstract Read

~2 min

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Abstract

The superalgebra of Z₂²-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 Z₂-graded superalgebra in the framework of a Calogero-Vasiliev algebra or, more generally, of a generalized deformed oscillator algebra. In the case of the Z₂²-graded superalgebra, the central element Z has the property of distinguishing between degenerate eigenstates of the Hamiltonian.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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The superalgebra of Z2^2-graded supersymmetric quantum mechanics is shown to be realizable in terms of a single bosonic degree of freedom.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2108.06243 [2] arXiv https://arxiv.org/abs/2108.06243 [3] Publisher https://arxiv.org/abs/2108.06243

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