Dynamics of cascade three-level system interacting with the classical and quantized field

TL;DR

This paper analyzes the dynamics of a three-level cascade atom interacting with classical and quantized fields, revealing symmetry breaking due to quantization and exploring effects on collapse and revival phenomena.

Contribution

It provides exact solutions for the cascade three-level atom interacting with classical and quantized fields, highlighting nonclassical effects and developing an Euler matrix formalism for dressed states.

Findings

Classical field interaction shows symmetric population dynamics when atom starts in middle level.

Quantization of the field breaks the dynamical symmetry observed in the classical case.

Quantized field in a coherent state affects collapse and revival phenomena.

Abstract

We study the exact solutions of the cascade three-level atom interacting with a single mode classical and quantized field with different initial conditions of the atom. For the semiclassical model, it is found that if the atom is initially in the middle level, the time dependent populations of the upper and lower levels are always equal. This dynamical symmetry exhibited by the classical field is spoiled on quantization of the field mode. To reveal this nonclassical effect an Euler matrix formalism is developed to solve the dressed states of the cascade Jaynes-Cummings model (JCM). Possible modification of such effect on the collapse and revival phenomenon is also discussed by taking the quantized field in a coherent state.