Development of a quantum particle in cell algorithm in GPU for solving Maxwell-Bloch equations

In this paper we report on the development of a numerical solver for Vlasov equations based on heterogeneous supercomputing using GPGPUs. The solver adapts techniques from many-body simulation, namely the particlein-cell approach, to describe the interaction between the electromagnetic field and atomic gas whose internal state can be described by the multilevel Bloch equations. We also present the benchmark and performance analysis of the code. We investigate the interaction between two coherent light beams, as a case of study to demonstrate the validation of the code.