Exploring Jaynes-Cummings-like Models for Quantum Control

The field of quantum optics informs quantum technology. The quantum optical Jaynes-Cummings (JC) model describes the interaction between a two-level system (qubit) and a photon field. It exemplifies quantum optics due to its simplicity, solvability and its many applications. We expand the JC model to JC-like models to include respectively multi-qubit, multi-photon, and time dependence of the parameters to explore the possibility of quantum control or the achievement of particular outcomes. We explore the solvability of the models, using algebraic and numerical techniques. To achieve quantum control, we explore the creation of an entangled qubit. We will discuss full analytic solutions and give graphical representations of energy expectation values for various models that could prove useful for quantum technology development.