Modular operators and entanglement in supersymmetric quantum mechanics

摘要: The modular operator approach of Tomita-Takesaki to von Neumann algebras is elucidated in the algebraic structure certain supersymmetric quantum mechanical systems. A algebra constructed from operators system. An explicit characterizing dual infinite degeneracy a two dimensional system given by conjugation operator. Furthermore, entanglement formation for these systems using concurrence shown be related expectation value an entangled bi-partite supermultiplet state thus providing direct physical meaning this anti-unitary, anti-linear as quantitative measure entanglement. Finally, theory applied case two-dimensional Dirac fermions, found graphene, and Jaynes Cummings Model.