TY - GEN
T1 - Pump-probe spectroscopy in degenerate two-level atoms with arbitrarily strong fields
AU - Zigdon, T.
AU - Wilson-Gordon, A. D.
AU - Goren, C.
AU - Rosenbluh, M.
AU - Friedmann, H.
PY - 2007
Y1 - 2007
N2 - We review our previous work on pump-probe spectroscopy in realistic degenerate two-level systems and model systems. In particular, we discuss the role of transfer of coherence (TOC) between the ground and excited hyperfine states in producing electromagnetically-induced transparency (EIA) peaks in the probe spectrum, when an Fg → Fe = Fg + 1 transition in an alkali-metal atom interacts with a strong pump and weak probe that have perpendicular polarizations. When the pump is σ+ polarized and the probe π polarized, this system can be modelled by an N system. We also discuss the role of transfer of population (TOP) between the Zeeman levels of the ground hyperfine state in producing EIA peaks when the pump and probe have the same polarization. This system can be modelled using a double two-level system. The role of Doppler broadening and phase-changing collisions in modifying the EIA-TOC and EIA-TOP absorption and refraction spectra is also discussed. All these spectra were calculated using MATLAB programs that both construct and solve the relevant Bloch equations. In our recent work, we consider the effect of a strong probe on the pump absorption and refraction spectra when the pump and probe polarizations are linear and perpendicular. It is difficult to solve this problem numerically due to the large number frequencies involved. In order to simplify the problem, we considered two cases: (i) σ+ polarized pump and π polarized probe, and (ii) σ+ polarized pump and σ- polarized probe, and investigated a series of transitions in both Rb and Cs, using modified versions of the MATLAB programs devised for the weak-probe case. A number of interesting differences from the weak-probe case were found. For example, when the probe is sufficiently strong, we found the pump and probe spectra to show complementary behavior. In addition, as the number of Zeeman levels increase, the EIA peaks become progressively sharper, and are accompanied by steeper dispersion.
AB - We review our previous work on pump-probe spectroscopy in realistic degenerate two-level systems and model systems. In particular, we discuss the role of transfer of coherence (TOC) between the ground and excited hyperfine states in producing electromagnetically-induced transparency (EIA) peaks in the probe spectrum, when an Fg → Fe = Fg + 1 transition in an alkali-metal atom interacts with a strong pump and weak probe that have perpendicular polarizations. When the pump is σ+ polarized and the probe π polarized, this system can be modelled by an N system. We also discuss the role of transfer of population (TOP) between the Zeeman levels of the ground hyperfine state in producing EIA peaks when the pump and probe have the same polarization. This system can be modelled using a double two-level system. The role of Doppler broadening and phase-changing collisions in modifying the EIA-TOC and EIA-TOP absorption and refraction spectra is also discussed. All these spectra were calculated using MATLAB programs that both construct and solve the relevant Bloch equations. In our recent work, we consider the effect of a strong probe on the pump absorption and refraction spectra when the pump and probe polarizations are linear and perpendicular. It is difficult to solve this problem numerically due to the large number frequencies involved. In order to simplify the problem, we considered two cases: (i) σ+ polarized pump and π polarized probe, and (ii) σ+ polarized pump and σ- polarized probe, and investigated a series of transitions in both Rb and Cs, using modified versions of the MATLAB programs devised for the weak-probe case. A number of interesting differences from the weak-probe case were found. For example, when the probe is sufficiently strong, we found the pump and probe spectra to show complementary behavior. In addition, as the number of Zeeman levels increase, the EIA peaks become progressively sharper, and are accompanied by steeper dispersion.
KW - Degenerate two-level systems
KW - Electromagnetically induced absorption
KW - Electromagnetically induced transparency
KW - Transfer of coherence
KW - Transfer of population
UR - https://www.scopus.com/pages/publications/34249057486
U2 - 10.1117/12.726791
DO - 10.1117/12.726791
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AN - SCOPUS:34249057486
SN - 0819467421
SN - 9780819467423
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - 14th International School on Quantum Electronics
T2 - 14th International School on Quantum Electronics: Laser Physics and Applications
Y2 - 18 September 2006 through 22 September 2006
ER -