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QUANTUM ENTANGLEMENT STATE OF NON-EQUIDISTANT THREE-LEVEL ATOM IN INTERACTION WITH BIMODAL CAVITY FIELD ê

N. A. Enaki, Nellu Ciobanu

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

A new trapping effect of three-level atom in interaction with bimodal cavity field is proposed. The problem consists in the possibility of realization of initial separate state of atom and electromagnetic field after the flying time through the cavity field. The quantum properties of bimodal field, which satisfy the reversible conditions for the atom flying through the cavity, were studied.

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A new trapping effect of three-level atom in interaction with bimodal cavity field is proposed. The problem consists in the possibility of realization of initial separate state of atom and electromagnetic field after the flying time through the cavity field. The quantum properties of bimodal field, which satisfy the reversible conditions for the atom flying through the cavity, were studied.
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.
We studied the interaction between the single-mode cavity and an atomic string consisting of equidistant three-level atoms (or pairs of indistinguishable two-level atoms) that is injected at such a low flux that at most one atom at a time is present inside the cavity. We investigated the trapping effect in such systems, and we obtained the trapping conditions for the flying time inside the cavity. We derived the so-called cotangent state for the proposed systems, and we examined the properties of the electromagnetic field for such state.
In this paper, we study a new quantum reversible effect for a three-level atom which interacts with electromagnetic cavity field. We investigate the reversible conditions for a three-level atom that is in resonance with two cavity modes and in off resonance with a single mode of cavity. The possibility of the reversible factorization between the atom and cavity radiation is the subject of this work. It is found the reversible condition for which these quantum subsystems can (or not) restore their diagonal moments.
The interaction between a single-mode cavity field and a string of three-level atoms of cascade type with equally spaced energy levels is investigated. The matrix elements of dipole transitions between adjacent levels are different. Trapping conditions for the flying time in the cavity as well as the explicit state of the field are found. The results are shown to be qualitatively different from the case of two-level systems. The properties of cavity fields are examined. In various limits, the state exhibits vacuum nutation as well as sub-Poissonian statistics and squeezing properties.