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Optical and Quantum Electronics

Time-dependent interaction between a two-level atom and bimodal electromagnetic field

Eied Mahmoud Khalil, S. Abdel‐Khalek, S. Al‐Awfi, Waad Albagami

Published May 18, 2020• 2 citations
Publisher
DOI
10.1007/s11082-020-02375-9

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A new reversible effect of three-level atom in interaction with quantum bimodal cavity field is proposed. The problem consists in the possibility of realization of initial separate state of atom and electromagnetic field after flying time through the cavity field. The discrete values for the flying time interval, which corresponds to the reversibility of the quantum states, were found. The quantum properties of bimodal field, which satisfy the optical trapping conditions for the atom flying through the cavity, were studied. The recursion relation for the amplitude of the electromagnetic field in decompositions on the Fock states was obtained.
The bi-quanta interaction between the bi-modal cavity electromagnetic field and atomic string consisting of undistinguishable pair of two-level atoms relatively dipole forbidden transition, is studied. The trapping conditions for the flying time of the atoms in cavity are obtained. Moreover, we received the so called cotangent state for the proposed system. The properties of the electromagnetic field for such state are examined. Analyzing the obtained numerical results we concluded that this state exhibits non-classical properties: such as sub-Poissonian statistics, squeezing, or more interestingly, vacuum nutation.
In this paper we consider a nonlinear interaction between a two-level atom and two modes of the electromagnetic field within a cavity. As the instantaneous position of the particle inside the cavity depends on both velocity and acceleration, we have assumed the coupling parameter to be explicitly time dependent. We have obtained the dynamical operators by solving the Heisenberg equations of motion and then constructed the density operator. The Heisenberg uncertainty relation is used to examine the entropy squeezing for this system. We have studied the effects of the phase, velocity and acceleration on entropy squeezing and atomic inversion. In addition the possibility of Bell-state production is discussed.