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An analytical theory of CEP-dependent coherence driven by few-cycle pulses

Formation of optical sub-cycle pulses and full Maxwell-Bloch solitary waves by coherent propagation effects

Developing an analytical theory for atomic coherence driven by ultrashort laser pulses has proved to be challenging due to the breakdown of the rotating wave approximation (RWA). In this paper, we present an approximate analytical solution that describes a two-level atom under the excitation of a far-off-resonance, few-cycle pulse of arbitrary shape without invoking the RWA. As an example of its applicability, a closed-form solution for Gaussian pulses is explicitly given, and the result is used to analyse the impact of carrier envelope phase on atomic population ratios. Comparisons with numerical solutions validate the accuracy our solution within the scope of the approximation. Finally, we outline an alternative approach that can lead to a more accurate solution by capturing the nonlinear behaviors of the system. The work lays out feasible theoretical paths toward analytically describing two-level atoms driven by ultrashort pulses.

Few-cycle excitation of atomic coherence: an analytical solution beyond the rotating-wave approximation

The response of a two-level system to a few-cycle pulse pair has been investigated with a special focus on the relation between population inversion and the carrier-envelope phases (CEPs) of the two pulses. The goal is to explore possible schemes of coherent control based on sequential ultrafast pulses. Simulation results indicate a close CEP-inversion relation, which stems from the coherent nature of the interaction. The impact of the pulse amplitudes is evaluated and is shown to create weak-field and strong-field interaction regions with drastically different characteristics. The important role of carrier-wave Rabi flopping in defining these characteristics is also analyzed. Finally, advantages of the method and experimental realization are discussed.

Carrier-envelope phase sensitive inversion driven by few-cycle pulse pairs

The feasibility of carrier-envelope phase (CEP) detection using few-cycle pulse pairs is numerically analyzed in a two-level system. Much lower power requirement is demonstrated in comparison with single-pulse schemes.

Low-Power Carrier-Envelope Phase Detection using Few-Cycle Pulse Pairs

We report a numerical study of the carrier-envelope phase-sensitive population inversion and polarization in two-level systems interacting with few-cycle optical pulse pairs.

Bing Zeng

Papers

An analytical theory of CEP-dependent coherence driven by few-cycle pulses

Carrier-envelope phase sensitive inversion driven by few-cycle pulse pairs

Low-Power Carrier-Envelope Phase Detection using Few-Cycle Pulse Pairs

Few-cycle excitation of atomic coherence: an analytical solution beyond the rotating-wave approximation

Carrier-envelope phase-dependent coherence in two-level systems interacting with few-cycle pulse pairs