Photonic graphene under strain with position-dependent gain and loss

Abstract

We work with photonic graphene lattices under strain with gain and loss, modeled by the Dirac equation with an imaginary mass term. To construct such Hamiltonians and their solutions, we use the free-particle Dirac equation and then a matrix approach of supersymmetric quantum mechanics to generate a new Hamiltonian with a magnetic vector potential and an imaginary position-dependent mass term. Then, we use a gauge transformation that maps our solutions to the final system, photonic graphene under strain with a position-dependent gain/loss term. We give explicit expressions for the guided modes.