Multiphoton coherent states for bilayer graphene

TL;DR

This paper introduces multiphoton coherent states for electrons in bilayer graphene under a magnetic field, deriving their properties and analyzing their dynamics and physical quantities.

Contribution

It constructs a generalized annihilation operator and defines multiphoton coherent states for bilayer graphene, extending the concept of coherent states to this material.

Findings

Derived explicit forms of multiphoton coherent states.

Calculated physical quantities like uncertainty, density, and energy.

Analyzed the time evolution and correlation functions of these states.

Abstract

The multiphoton coherent states, a generalization to coherent sates, are derived for electrons in bilayer graphene placed in a constant homogeneous magnetic field which is orthogonal to the bilayer surface. For that purpose a generalized annihilation operator is constructed in order to determine the multiphoton coherent states as eigenstates of such operator with complex eigenvalue. In addition, some physical quantities are calculated for these states, as the Heisenberg uncertainty relation, probability density and mean energy value. Finally, in order to study the dynamics of the system the time evolution is explored and the time-correlation function is computed.