Two-photon absorption from the real Gaussian field

Chen, Ce; Elliott, Daniel S.; Hamilton, M. W.

doi:10.1103/physrevlett.68.3531

Cited by 36 publications

(15 citation statements)

References 22 publications

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“…Chains (I) and (II) correspond to the processes from |0 to |2 and from |0 to |3 , respectively. We obtain the third-order off-diagonal density matrix element ρ (3) 10 which has the wave vector (II) . Here ρ (I) and ρ (II) corresponding to ρ (3) 10 of the perturbation chain (I) and (II), respectively, are…”

Section: Basic Theorymentioning

confidence: 99%

“…Stochastic processes are ubiquitous in all branches of science. Unlike the nonzero frictional memory non-Markovian process [1], the atomic response to Markovian stochastic optical fields is now largely well understood [2][3][4][5][6][7][8]. When the laser field is sufficiently intense that many photon interactions occur, the laser spectral bandwidth or spectral shape, obtained from the second-order correlation function, is inadequate to characterize the field.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Twin Markovian field correlation on four-level attosecond polarization beats

Zhang¹,

Chen²,

Li³

et al. 2004

J. Phys. B: At. Mol. Opt. Phys.

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Based on the phase-conjugate polarization interference between two twophoton processes, we obtained an analytic closed form for the second-order or fourth-order Markovian stochastic correlation of the four-level attosecond sumfrequency polarization beat (FASPB) in the extremely Doppler-broadened limit. The homodyne-detected FASPB signal is shown to be particularly sensitive to the statistical properties of the Markovian stochastic light fields with arbitrary bandwidth. The different roles of the amplitude fluctuations and the phase fluctuations can be understood physically in the time-domain picture. The field correlation has a weak influence on the FASPB signal when the laser has narrow bandwidth. In contrast, when the laser has broadband linewidth, the FASPB signal shows resonant-nonresonant cross-correlation, and drastic difference for three Markovian stochastic fields. The maxima of the two twophoton signals are shifted from zero time delay to the opposite direction, and the signal exhibits damping oscillation when the laser frequency is off-resonant from the two-photon transition. A Doppler-free precision in the measurement of the energy-level sum can be achieved with an arbitrary bandwidth. As an attosecond ultrafast modulation process, it can be extended intrinsically to any sum frequency of energy levels.

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Section: Basic Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Twin Markovian field correlation on four-level attosecond polarization beats

Zhang¹,

Chen²,

Li³

et al. 2004

J. Phys. B: At. Mol. Opt. Phys.

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show abstract

“…Methods exist to calculate the rst-order moments of the atomic density matrix elements for a wide variety of eld statistics, including phase-diå using elds, phase-diå using elds with coloured noise, chaotic elds, real Gaussian elds and phase jump elds [1][2][3][4][5]. When the laser eld is suae ciently intense that many photon interactions occur, the laser spectral bandwidth or spectral shape, obtained from the second-order correlation function, is inadequate to characterize the eld.…”

Section: Introductionmentioning

confidence: 99%

Correlation effects of chaotic and phase-diffusion fields on polarization beats in a V-type three-level system

Zhang

et al. 2001

Journal of Modern Optics

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The correlation eå ects of fourth-order on polarization beats in a V-type three-level system (PBVTS) are investigated using chaotic and phasediå usion models. It has been found that the temporal behaviour of the beat signal depends on the stochastic properties of the lasers and transverse relaxation rate of the transitions, and the modulation terms of the beat signal depend on the second-order coherence function, which is determined by the laser line shape. Since diå erent stochastic models of the laser eld aå ect only the fourthorder coherence function, they have little in uence on the general temporal modulation behaviour of the beat signal. The diå erent roles of the phase uctuation and amplitude uctuation have been pointed out in the time domain. The fourth-order coherence function theory of chaotic eld is of vital importance in PBVTS. The cases where the pump beams have either narrow band or broadband linewidth are considered and it has been found that for both cases a Doppler-free precision in the measurement of the energy-level splitting between two states can be achieved. Finally, the diå erence between the PBVTS and DeBeer' s ultrafast modulation spectroscopy is discussed as well from a physical viewpoint.

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“…This difference may reflect complexities in the relationship between the two-and single-photon bandwidths that depend on the characteristic coherence of the radiation fields involved. [20][21][22] For instance, there is recent evidence 22 that narrow two-photon resonances can be obtained through coherently controlled absorption of a broadband optical field, comprising a distribution of correlated pairs of narrowband components.…”

Section: Pulsed Tpe Linewidth Analysismentioning

confidence: 99%