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Quantum Electronics

Numerical simulation of the quasi-resonance transient double resonance regime in a scheme with the common upper level for a small inhomogeneous broadening of quantum transition lines

Oleg M. Parshkov

Published Apr 30, 2006• 0 citations
Publisher

Abstract

The transient double resonance in the Λ-scheme is numerically investigated for short input laser pulses whose spectral widths exceed noticeably the Doppler width of quantum transitions. The case of the exact resonance is considered, when the frequencies of input pulses coincide with the central frequencies of quantum transitions, and the quasi-resonance case, when this coincidence is slightly violated. It is shown that a pulse with a lower frequency is shortened and considerably amplified during its propagation in a medium. A pulse with a higher frequency transforms to a pulse with a ridge envelope, which virtually does not decay during its propagation despite the presence of irreversible relaxation. Estimates were performed for quantum transitions in the 208 Pb atom.

DOI
10.1070/qe2006v036n04abeh013146

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The transient double resonance in the Λ-scheme is numerically investigated for short input laser pulses whose spectral widths exceed noticeably the Doppler width of quantum transitions. The case of the exact resonance is considered, when the frequencies of input pulses coincide with the central frequencies of quantum transitions, and the quasi-resonance case, when this coincidence is slightly violated. It is shown that a pulse with a lower frequency is shortened and considerably amplified during its propagation in a medium. A pulse with a higher frequency transforms to a pulse with a ridge envelope, which virtually does not decay during its propagation despite the presence of irreversible relaxation. Estimates were performed for quantum transitions in the 208 Pb atom.
The transient double resonance in the Λ scheme is numerically investigated in the case of a strong inhomogeneous spectral broadening of a medium and nonzero detunings of the frequencies of interacting pulses from the central frequencies of corresponding quantum transitions. It is shown that the signal pulse efficiently interacts with the pump pulse only when a certain condition imposed on the nonzero detunings is satisfied. If this condition is strongly violated at the input to the resonance medium, only a weak field of the rear edge of the input signal pulse mainly interacts with the pump field. In this case, two pulses with different frequencies are formed in the signal channel. This is explained by the specific interaction of radiation with Doppler-broadened quantum transitions.
Transient regime of common-upper-level scheme double resonance is studied numerically. It was shown that in the presence of resonance detunings in channels of interaction and with taking into account of inhomogeneous broadening of resonant transition lines the process of stationary gained signal pulse forming is accompanied with signal carrier frequency pulling to the value that is corresponding some condition. This relates frequency detunings with transition central frequencies and differs from such conditions for Raman scattering. In some cases. Satisfaction of this condition provides the effective conversion of pump pulse energy into signal one. Depends on frequency detuning values one- or two-pulse structure will arise in signal channel. To vary these detunings it is possible to manipulate of signal pulse magnitudes and of time shift between them
The process of double resonance in atomic vapour of metals is studied numerically. The Lambda-scheme of level exciting and input pulses with duration 10-13-10-11sec are considered. It is shown that under these conditions in the major frequency channel (pump) the new type of pulse with comb-like real envelope can arise. In the case of strict resonance in this channel comb-like pulse has the same structure as ordinary 0pi-pulse in the self-induced transparency theory. The distinctive feature of this pulse is the very slight attenuation during its propagation in the medium despite of fact that its duration is compatible with time of irreversible relaxation of quantum transitions
The process of double resonance in atomic vapour of metals is studied numerically. The Λ-scheme of exciting and input pulses with duration 10-13-10-11sec are considered. It is shown that under these conditions in the major frequency channel (pump) the new type of pulse with comb-like real envelope can arise. In the case of strict resonance in this channel comb-like pulse has the same structure as ordinary 0pi-pulse in the self-induced transparency theory. The distinctive feature of this pulse is the very slight attenuation during its propagation in the medium despite of fact that its duration is compatible with time of irreversible relaxation of quantum transitions.
The results of numerical modeling of 0pi-pulse evolution in the medium with inhomogeneous broadening of resonant quantum transition line are presented in this paper. The main attention is devoted to phenomena related with 0pi-breather formation as in the strong resonance conditions so as in the presence of small detuning from exact resonance (quasi-resonance case). To compare with existed experimental data the numerical modeling was carried out with adequate duration of input 0pi-pulse and with taking into account of quantum transition transverse relaxation. There is founded that existed in real experiment irreversible relaxation essentially effects on evolution of pulse. So the conclusion can be made that in analyzed experiment the 0pi-breather on the stage of its transformation into many 0pi-pulse was observed
The nonstationary double resonance is numerically simulated in the Λ-scheme of degenerate energy levels with the quantum number J of the total angular momentum equal to 0, 2, and 1. The analysis is performed in the slowly varying envelope approximation taking into account the inhomogeneous broadening of quantum transition lines. In the case of a high-power input low-frequency pulse of long duration with a flat top switched on before the application of a comparatively weak and short input high-frequency pulse and switched off after the end of the latter, a specific pulsed structure, the so-called double adiabaton, can appear. It differs from an adiabaton known from the theory of electromagnetically induced transparency by the decomposition of the high-frequency pulse into two pulses with oppositely directed elliptic polarisations.