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Quantum Simulation Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Hidden symmetries of rationally deformed superconformal mechanics

arXiv
Authors: Luis Inzunza, Mikhail S. Plyushchay

Year

2018

Paper ID

7457

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

We study the spectrum generating closed nonlinear superconformal algebra that describes mathcal{N}=2 super-extensions of rationally deformed quantum harmonic oscillator and conformal mechanics models with coupling constant g=m(m+1), min {mathbb N}. It has a nature of a nonlinear finite W superalgebra being generated by higher derivative integrals, and generally contains several different copies of either deformed superconformal mathfrak{osp}(2|2) algebra in the case of super-extended rationally deformed conformal mechanics models, or deformed super-Schrodinger algebra in the case of super-extension of rationally deformed harmonic oscillator systems.

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  • We study the spectrum generating closed nonlinear superconformal algebra that describes mathcalN=2 super-extensions of rationally deformed quantum harmonic oscillator and...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1809.08527 [2] arXiv https://arxiv.org/abs/1809.08527 [3] Publisher https://arxiv.org/abs/1809.08527

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