Pancharatnam phase control of atomic ensembles based on quantum memory effects in photonic cavities

Abstract

In this paper, we explore the manipulation and control of the Pancharatnam phase in atomic ensembles through the utilization of quantum memory effects. By analyzing the time evolution of the excited state population of N-atoms within a single photonic cavity, we gain insights into the behavior and manipulation of this phase. Numerical simulations of the system exact solution yield density plots illustrating the time evolution of the excited state population and Pancharatnam phase. Our findings demonstrate the potential to control the system dynamics using the Pancharatnam phase in atomic ensembles through quantum memory effects. The observed behaviors and characteristics contribute to our understanding of quantum systems and hold promise for crucial applications in quantum information processing and communication. These results provide valuable insights into the fundamental aspects of the Pancharatnam phase and its control, paving the way for further investigations and applications in quantum optics and information science.

Keywords Open quantum system, Pancharatnam phase, Quantum memory effects