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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Reversibility of quantum states for non-equidistant three-level atom in interaction with bimodal cavity field

N. A. Enaki, Nellu Ciobanu

Published Aug 6, 2007• 1 citation
Publisher

Abstract

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.

DOI
10.1117/12.756859

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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.
Abstract The restoration of the initial state in the Raman interaction of the two atoms with the quantified pump and Stokes (anti-Stokes) cavity modes is analytically obtained. For this the su (2) symmetry representation of the bimodal field and a system of two atoms in scattering interaction is proposed for the simplification of the problem. Using the proprieties of the generators su (2) algebra the exact non-stationary solution of the system of two atoms in interaction with the bimodal field is found, taking into consideration the initial disentangled state between the atomic and field superposition. It is demonstrated that after this collapse and revivals of the inversion of flying atoms in the processes of absorption and emission of the photons from Stokes and pump modes the system atoms and field becomes entangled. The conditions of the restoration of the initial state of the atom-field system were established as a function of the flying time through the resonator possible. A set of discrete flying time intervals for the restoration of the initial disentangled state was found.
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 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.
It has been recently shown [1] that, under suitable conditions, the interaction between a three-level atom and the quantized field of a bimodal microcavity may be effectively reduced to the two-photon coupling between a single two-level atom and the electromagnetic field in the resonator. The corresponding Hamiltonian model is characterized by intensity-dependent Stark shifts due to the presence of an intermediate off-resonance atomic level. Assume the cavity field prepared at in an arbitrary state and let an initially excited atom cross the cavity with an appropriately selected velocity. It is possible to show that, exploiting a single conditional measurement of the atomic state immediately after the atom leaves the resonator, the bimodal field is projected into a new state characterized by the same photon number distribution present at More in detail, the experimental scheme we propose makes it possible manipulating only the phases of the initial probability amplitudes of finding a well defined population in the cavity. We prove that the state into which the cavity collapses after a successful atomic measurement is unitarily related to the initial field state and the explicit form of the accomplishing operator is constructed. We wish to remark that, beside its inherent theoretical interest, this simple experimental scheme might also be of relevance in the socalled field of quantum communication [2], where implementing unitary modifications of a quantum state signal represents an issue of topical and central importance. More in general, our proposal provides a systematic procedure for controlling selected properties of a quantum state. We in fact demonstrate that our experimental scheme may be reliably exploited to generate orthogonal states to a prefixed one or to control the squeezing direction.