Invariant approach to the driven Jaynes-Cummings model
Ivan A. Bocanegra-Garay, L. Hernández-Sánchez, I. Ramos-Prieto, Francisco Soto‐Eguibar, H. M. Moya-Cessa
Abstract
We investigate the dynamics of the driven Jaynes-Cummings model, where a two-level atom interacts with a quantized field and both, atom and field, are driven by an external classical field. Via an invariant approach, we are able to transform the corresponding Hamiltonian into the one of the standard Jaynes-Cummings model. Subsequently, the exact analytical solution of the Schrödinger equation for the driven system is obtained and employed to analyze some of its dynamical variables.
Topics & Concepts
Jaynes–Cummings modelInvariant (physics)Hamiltonian (control theory)PhysicsClassical mechanicsMathematical physicsStatistical physicsMathematicsQuantum mechanicsQuantum opticsMathematical optimizationQuantum Information and CryptographySpectroscopy and Quantum Chemical StudiesQuantum optics and atomic interactions