# Modular operators and entanglement in supersymmetric quantum mechanics

@article{Chatterjee2021ModularOA, title={Modular operators and entanglement in supersymmetric quantum mechanics}, author={Rupa Chatterjee and Ting Yu}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={54} }

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…

## One Citation

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International Journal of Theoretical Physics

Quantum entanglement is shown for causally separated regions along the radial direction by using a conformal quantum mechanical correspondence with conformal radial Killing fields of causal diamonds…

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