Modular operators and entanglement in supersymmetric quantum mechanics

  title={Modular operators and entanglement in supersymmetric quantum mechanics},
  author={Rupa Chatterjee and Ting Yu},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • R. ChatterjeeTing Yu
  • Published 10 March 2021
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
The modular operator approach of Tomita–Takesaki to von Neumann algebras is elucidated in the algebraic structure of certain supersymmetric (SUSY) quantum mechanical systems. A von Neumann algebra is constructed from the operators of the system. An explicit operator characterizing the dual infinite degeneracy structure of a SUSY two dimensional system is given by the modular conjugation operator. Furthermore, the entanglement of formation for these SUSY systems using concurrence is shown to be… 

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