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Journal of Baoji University of Arts and Sciences

Two optical signals propagating in a four-level atomic ensemble

Pingping Li

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Aim To study signal propagation of in a double-Λ atomic four-level atomic medium. Methods The numerical simulations of the motion equations of the signal field and the atom is used to resolve the problem. Results The numerical simulations show some new effects which two optical signals transmitting in atomic medium bring about. Conclusion Two optical signals can be manipulated in a double-Λ atomic ensemble.

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In this paper, a two-Λ-type five-level system is constructed by using the Zeeman energy level of the lithium atom's hyperfine structure and interacting with two optical fields which have different polarization directions. The quantum coherence effect of the system is studied under the condition of two photon resonance. Firstly, we construct the Hamiltonian of the system under the rotation frame, and get the dark state of the system by solving the eigenvalues and eigenstates of the Hamiltonian. Then, a new coupled representation is constructed by the dark state, and the preparation of the dark state of the five-level system is further studied. Finally, the density matrix motion equations of the five-level system are established, and the numerical solution is solved by program. Through numerical simulation, we give the curve of the signal light absorption intensity with its changed detuning, and from this curve. We can see that there is a transparent window near the zero of the signal light detuning, accompanied by a normal dispersion curve. The position of the transparent window corresponds to the dark state condition for the formation of the system, that is, the system is prepared to the dark state under the two-photon resonance condition, and the atoms in the dark state do not interact with the light field, so the incident signal light appears transparent.

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Aim To study signal propagation of in a double-Λ atomic four-level atomic medium. Methods The numerical simulations of the motion equations of the signal field and the atom is used to resolve the problem. Results The numerical simulations show some new effects which two optical signals transmitting in atomic medium bring about. Conclusion Two optical signals can be manipulated in a double-Λ atomic ensemble.
Simultaneous propagation of two probe pulses in a medium of four-level atoms irradiated by three control fields is studied. The double Λ configuration has been closed by a fifth field, coupling the lower levels. It is shown that the propagation can be described in terms of four modes characterized by particular effective susceptibilities, which have absorption or gain peaks and transparency windows. For incoming one-peak pulses, multipeak spectra are built during the propagation including a few components of well-defined frequencies. They evolve along the sample with some of their spectral components being transmitted, absorbed, or amplified.
Through numerical simulations we show that the propagation of pairs of optical pulses in a double-\ensuremath{\Lambda} configuration is favorable for the attainment of electromagnetically induced transparency with matched pulses, even through a long absorbing sample. The double-\ensuremath{\Lambda} configuration allows a flexible and precise control of the amplitudes and phases for the propagating pulses. Different atomic and field configurations based on a double-\ensuremath{\Lambda} system in rubidium atoms have been explored.
The interaction of classical and quantized electromagnetic fields with an ensemble of atoms in an optical cavity is considered. Four fields drive a double-lambda level scheme in the atoms, consisting of a pair of lambda systems sharing the same set of lower levels. Two of the fields produce maximum coherence, rho12 = -1/2, between the ground state sublevels 1 and 2. This pumping scheme involves equal intensity fields that are resonant with both the one and two-photon transitions of the lambda system. There is no steady-state absorption of these fields, implying that the fields induce a type electromagnetically-induced transparency (EIT) in the medium. An additional pair of fields interacting with the second lambda system, combined with the EIT fields, leads to squeezing of the atom spin associated with the ground state sublevels. Our method involves a new mechanism for creating steady-state spin squeezing using an optical cavity. As the cooperativity parameter C is increased, the optimal squeezing varies as C^{-1/3}. For experimentally accessible values of C, squeezing as large as 90% can be achieved.
In this paper, a two-Λ-type five-level system is constructed by using the Zeeman energy level of the lithium atom's hyperfine structure and interacting with two optical fields which have different polarization directions. The quantum coherence effect of the system is studied under the condition of two photon resonance. Firstly, we construct the Hamiltonian of the system under the rotation frame, and get the dark state of the system by solving the eigenvalues and eigenstates of the Hamiltonian. Then, a new coupled representation is constructed by the dark state, and the preparation of the dark state of the five-level system is further studied. Finally, the density matrix motion equations of the five-level system are established, and the numerical solution is solved by program. Through numerical simulation, we give the curve of the signal light absorption intensity with its changed detuning, and from this curve. We can see that there is a transparent window near the zero of the signal light detuning, accompanied by a normal dispersion curve. The position of the transparent window corresponds to the dark state condition for the formation of the system, that is, the system is prepared to the dark state under the two-photon resonance condition, and the atoms in the dark state do not interact with the light field, so the incident signal light appears transparent.