Entanglement, Superselection Rules and Supersymmetric Quantum Mechanics

TL;DR

This paper demonstrates that energy eigenstates in supersymmetric quantum mechanics with non-definite fermion number are entangled states, extending the concept of spin spring states from the Jaynes-Cummings model to SUSYQM.

Contribution

It reveals that SUSYQM eigenstates with non-definite fermion number are entangled and generalizes spin spring states within this framework.

Findings

Eigenstates are entangled states in SUSYQM.

States are physical when observables with odd spin variables are allowed.

Generalization of spin spring states to SUSYQM.

Abstract

In this paper we show that the energy eigenstates of supersymmetric quantum mechanics (SUSYQM) with non definite "fermion" number are entangled states. They are "physical states" of the model provided that observables with odd number of spin variables are allowed in the theory like it happens in the Jaynes-Cummings model. Those states generalize the so called "spin spring" states of the Jaynes-Cummings model which have played an important role in the study of entanglement.