No abstract

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields. Here, we will use complex factorization energies and iterate the method in order to arrive at Hermitian graphene Hamiltonians. Finally, we compare these results with the matrix supersymmetric quantum mechanics approach.

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.

Abstract. By using a matrix technique, which allows to identify directly the ladder operators, the coherent states of the asymmetric Penning trap are derived as eigenstates of the appropriate annihilation operators. They are compared with those obtained through the displacement operator method.