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Abstract <p>We investigate the geometric Nielsen complexity of the unitary evolution of the supersymmetric quantum harmonic oscillator (SQHO), formulated on the Heisenberg–Weyl Lie superalgebra <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathfrak{s}\mathfrak{h}(\left. 2 \right|2)\)</EquationSource> <!--PhysPNLt2570174Avramov-m1--> </InlineEquation>.</p>

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On Complexity and Supersymmetry

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • V. Avramov,
  • H. Dimov,
  • M. Radomirov,
  • R. C. Rashkov,
  • T. Vetsov

摘要

Abstract

We investigate the geometric Nielsen complexity of the unitary evolution of the supersymmetric quantum harmonic oscillator (SQHO), formulated on the Heisenberg–Weyl Lie superalgebra \(\mathfrak{s}\mathfrak{h}(\left. 2 \right|2)\) .