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Physical Review A

Phase control of the Pancharatnam phase

M. A. Bouchène, Mahmoud Abdel‐Aty

Published May 28, 2009• 15 citations
Publisher

Abstract

We propose a method to control the atomic dynamics in the presence of electromagnetic fields. Instead of measuring the population dynamics, we focus on the possibility of controlling the Pancharatnam phase. For a two-level system we find that this phase can be optically induced and controlled by the phase shift. More importantly, the nonlinear interaction between the atom and the field leads to an enhanced sensitivity for the control of the atomic phase evolution and system dynamics.

DOI
10.1103/physreva.79.055402

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We propose a method to control the atomic dynamics in the presence of electromagnetic fields. Instead of measuring the population dynamics, we focus on the possibility of controlling the Pancharatnam phase. For a two-level system we find that this phase can be optically induced and controlled by the phase shift. More importantly, the nonlinear interaction between the atom and the field leads to an enhanced sensitivity for the control of the atomic phase evolution and system dynamics.
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 [Formula: see text]-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.
The interaction of a three-level atom with two quantum field modes has been studied analytically. Strong quantum entanglement between individual parts of the considered multipartite system has been revealed and the possibility of its controlled variation has been demonstrated. Methods of the transmission and exchange of phase information between field modes, as well as of direct measurement of the phase characteristics of an unknown state of the input field, have been developed on the basis of quantum entanglement between initially independent quantum fields interacting with an atom.
We consider self-induced transparency (SIT) in a two-level atomic system in the presence of an additional control laser field. We find that the dynamics of the SIT process are profoundly modified by the control field, in a manner reminiscent of the modification of other nonlinear optical interactions through the process of electromagnetically induced transparency. The presence of the control field allows SIT to occur under a much broader range of conditions and leads to dramatically reduced values of the group velocity of the SIT soliton.
We have experimentally studied the optical bistable behavior in an optical ring cavity filled with a collection of three-level $\ensuremath{\Lambda}$-type rubidium atoms, interacting with two collinearly propagating laser beams. The bistability so observed is very sensitive to the induced atomic coherence in this electromagnetically induced transparency system or consequently to the altered nonlinearity in the system and, thus, can easily be controlled by changing the intensity and the frequency detuning of the coupling field.