Even and odd superposition of bilayer graphene coherent states and their non-classical properties

Abstract

Using exfoliation of graphite, bilayer graphene which is composed of two monolayers of carbon atoms can be obtained. Defining annihilation operator, coherent states for charge carrier of bilayer graphene in a perpendicular magnetic field can be calculated. In this paper, introducing even and odd superposition of bilayer graphene coherent states, we investigate their non-classical properties including entanglement, statistical properties and squeezing. With the use of Concurrence, we have found that these states are entangled and the entanglement goes to zero for large values of coherency parameter. Also, using Mandel parameter and second coherence function, we have realized that only odd states represent sub-Poissonian statistics in some ranges of coherency parameter. In addition, our squeezing considerations show that none of the states exhibits squeezing in quadrature operators. The results of these properties for bilayer graphene coherent states, are different from the similar calculations for monolayer ones.