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Journal of the Optical Society of America B

Coherent control of a multilevel resonant medium by subcycle pulses

A. V. Pakhomov, Nikolay N. Rosanov, Mikhail V. Arkhipov, Rostislav M. Arkhipov

Published Nov 13, 2023• 11 citations
Publisher

Abstract

We theoretically demonstrate the possibility of coherent control of the response of a multilevel resonant medium by means of half-cycle unipolar or quasi-unipolar attosecond pulses. We show that despite the ultrabroad spectrum of half-cycle pulses the induced medium polarization can be efficiently steered through the proper choice of the parameters for the excitation pulses. Besides, we found that the response of a multilevel medium for the amplitude of driving subcycle pulses below a certain threshold can be quantitatively well approximated by the two-level model.

DOI
10.1364/josab.503633

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We theoretically demonstrate the possibility of coherent control of the response of a multilevel resonant medium by means of half-cycle unipolar or quasi-unipolar attosecond pulses. We show that despite the ultrabroad spectrum of half-cycle pulses the induced medium polarization can be efficiently steered through the proper choice of the parameters for the excitation pulses. Besides, we found that the response of a multilevel medium for the amplitude of driving subcycle pulses below a certain threshold can be quantitatively well approximated by the two-level model.
We theoretically demonstrate the possibility to tune the temporal waveform of optical unipolar pulses upon their coherent interaction with a multi-level resonant medium. This is achieved through the coherent control of the response of a multi-level resonant medium by means of half-cycle unipolar pulses. We show that despite the ultrabroad spectrum of half-cycle pulses one can efficiently steer the induced medium polarization through the proper choice of the parameters of the excitation pulses. As the result, producing of unipolar optical pulses of varying profile, like rectangular or triangular ones, from an extended layer of a multi-layer medium was obtained when excited by a pair of half-cycle pulses. Besides, we find out that the response of a multi-level medium for the amplitude of the driving pulses below a certain threshold can be quantitatively well approximated by the two-level model.
We theoretically demonstrate the possibility to tune the temporal waveform of unipolar pulses of femtosecond duration emitted from a multilevel resonant medium. This is achieved through the control of the medium response by a properly adjusted sequence of half-cycle unipolar or quasi-unipolar driving pulses and the spatial density profile of resonant centers along the medium layer. We show the production of unipolar optical pulses of varying profiles, like rectangular or triangular ones, from an extended layer of a multilevel medium.
Here we demonstrate an unusual type of superradiance in an extended layer of a two-level medium excited by a pair of unipolar pulses. It is shown that, due to the interference of secondary waves emitted by the resonant medium, the response of such a layer in reflection represents a pair of half-cycle unipolar pulses of different polarity. They follow with a time delay proportional to the layer thickness. The source of such superradiance is a monopolar half-cycle pulse of the stopped polarization induced by the first excitation pulse and switched off by the second excitation pulse. The predicted effect can be used to control the shape of few- and subcycle pulses in resonant media.
Using the numerical solution of the system of equations for the amplitudes of bound states, together with the wave equation, we theoretically consider stopped polarization pulse superradiance upon excitation by a pair of half-period attosecond pulses in a thin layer of a five-level resonant medium, the parameters of which are the same as in a hydrogen atom. It is shown that in the case of a multilevel medium, at certain parameters of the exciting field, the superradiance pulse near the medium is also a single-cycle pulse, the shape of which is determined by the first time derivative of the stopped polarization pulse, as in the case when approximate low-level and classical models were used to describe the response of the medium. Keywords: superradiance, attosecond pulses, stopped polarization pulse, unipolar pulses, subcycle pulses.
Abstract Recently, the possibility of the creation, erasing and ultrafast control of polarization and population inversion gratings by sequences of few-cycle bipolar pulses interacting with a medium in a resonant and coherent way was predicted. In this case, the overlapping of pulses in the medium is not needed for the creation of gratings. In this paper, we study the possibility of the ultrafast creation and control of spatial periodic gratings in a resonant medium when subcycle unipolar pulses (that is ones containing the constant spectral component of an electric field) propagate in the coherent regime.
The most typical way to optically control population of atomic and molecular systems is to illuminate them with radiation, resonant to the relevant transitions. Here we consider a possibility to control populations with the subcycle and even unipolar pulses, containing less than one oscillation of electric field. Despite the spectrum of such pulses covers several levels at once, we show that it is possible to selectively excite the levels of our choice by varying the driving pulse shape, duration or time delay between consecutive pulses. The pulses which are not unipolar, but have a peak of electric field of one polarity much higher (and shorter) than of the opposite one, are also capable for such control.