Maximum Entanglement in Squeezed Boson and Fermion States

TL;DR

This paper investigates the entanglement properties of squeezed boson and fermion states, demonstrating that these states are maximally entangled, with a focus on their mathematical relations and generalizations.

Contribution

It introduces a framework for analyzing maximum entanglement in both boson and fermion squeezed states, including a novel fermion state construction using Grassmann variables.

Findings

Squeezed boson states are maximally entangled.

Fermion squeezed states are also shown to be maximally entangled.

Relations involving squeezed boson states are demonstrated.

Abstract

A class of squeezed boson and fermion states is studied with particular emphasis on the nature of entanglement. We first investigate the case of bosons, considering two-mode squeezed states. Then we construct the fermion version to show that such states are maximum entangled, for both bosons and fermions. To achieve these results, we demonstrate some relations involving squeezed boson states. The generalization to the case of fermions is made by using Grassmann variables.