Supersymmetry and Entanglement in the Generalized Dirac Oscillator

Abstract

The supersymmetric properties of the generalized Dirac oscillator allow us to determine the entanglement entropy between the spin and the continuous variable in a purely algebraic manner. The entanglement has a relativistic origin and disappears in the nonrelativistic limit. The entanglement entropy attains its maximal value in the limit of infinite energy.

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