Short-pulse population inversion and transmittance

Kaluža, Matjaž; Muckerman, J. T.

doi:10.1103/physreva.51.1694

Cited by 9 publications

(2 citation statements)

References 20 publications

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“…[21][22][23][24][25] If the dynamics admit a significant reduction in N to an effective dimension N eff , the detriment of the factorial dimensional scaling of the suboptimal critical regions may be mitigated. The determination of the difference between the effective dimension N eff and the true Hilbert space dimension N of the system is necessarily dependent on the nature of the coupling of the system levels, the resolution and range of the controls, and the structure of the observable being optimized.…”

Section: A the Effective Dynamical Dimensionmentioning

confidence: 98%

Topology of the quantum control landscape for observables

Hsieh

Rabitz

2009

The Journal of Chemical Physics

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A broad class of quantum control problems entails optimizing the expectation value of an observable operator through tailored unitary propagation of the system density matrix. Such optimization processes can be viewed as a directed search over a quantum control landscape. The attainment of the global extrema of this landscape is the goal of quantum control. Local optima will generally exist, and their enumeration is shown to scale factorially with the system's effective Hilbert space dimension. A Hessian analysis reveals that these local optima have saddlepoint topology and cannot behave as suboptimal extrema traps. The implications of the landscape topology for practical quantum control efforts are discussed, including in the context of nonideal operating conditions.

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Section: A the Effective Dynamical Dimensionmentioning

confidence: 98%

Topology of the quantum control landscape for observables

Hsieh

Rabitz

2009

The Journal of Chemical Physics

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“…When nonlinear optical media are exposed to intense laser fields, strong nonlinear optical phenomena occur, such as strong field multi-photon absorption, [1,2] high-order harmonic generation, [3][4][5] supercontinuum generation, [6,7] optical power limiting, [8][9][10][11][12][13][14][15] self-induced transparency, [16][17][18] complete population inversion, [19][20][21] and even creation of particles. [22] It is well known that laser pulse can be characterized by its polarization, field amplitude, carrier temporal profile, pulse duration, carrier frequency, and carrier-envelope phase.…”

Section: Introductionmentioning

confidence: 99%

Optical power limiting of ultrashort hyper-Gaussian pulses in cascade three-level system

Liu¹,

Guo²,

Zhao³

et al. 2018

Chinese Phys. B

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Propagation of strong femtosecond hyper-Gaussian pulses in a cascade three-level molecular system is studied by solving numerically the Maxwell-Bloch equations by the iterative predictor-corrector finite-difference time-domain method. Optical power limiting behavior induced by strong nonlinear two-photon absorption is observed for different orders of the femtosecond hyper-Gaussian pulses. Pulses of a higher order temporal profile are found to have a wider power range of optical limiting but a larger output saturation intensity. Both the output saturation value and the damage threshold of optical power limiting decrease with pulse duration increasing. The decrease of the pulse area along the pulse propagation is much slower than that obtained from the two-photon area theorem due to invalidity of the slowly varying amplitude approximation and the monochromatic field hypothesis.

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Coherent Control of Molecular Dynamics

Shapiro

Brumer

1998

Encyclopedia of Computational Chemistry

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We review theoretical work in the field of ‘Coherent Control’, whose essence is the use of quantum interferences between indistinguishable competing pathways to enhance one (chemical) product in preference to all others. We explain the principles of bichromatic and polychromatic control, pulse shaping, and the use of one‐ versus three‐photon interferences to control branching ratios. As an example of coherent control, we show how it may be used to convert racemic mixtures to samples containing the pure enantiomer of choice. We also show that the handedness of a molecular system is determined by the phase of incident light fields, thus highlighting a deep connection between the quantum mechanical phase, reflecting the spatiotemporal history of the combined light–matter system, and the handedness.

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Short-pulse population inversion and transmittance

Cited by 9 publications

References 20 publications

Topology of the quantum control landscape for observables

Topology of the quantum control landscape for observables

Optical power limiting of ultrashort hyper-Gaussian pulses in cascade three-level system

Coherent Control of Molecular Dynamics

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