Quasiadiabatic following of femtosecond optical pulses in a weakly excited semiconductor

Collapse of ultrashort spatiotemporal pulses described by the cubic generalized Kadomtsev-Petviashvili equation

“…The theoretical and experimental studies of few-cycle pulses (FCPs) have opened the door to a series of applications in various fields such as light matter interaction, high-order harmonic generation, extreme nonlinear optics [2], and attosecond physics [3,4]. On the theoretical arena three classes of main dynamical models for FCPs have been put forward: (i) the quantum approach [5][6][7][8], (ii) the refinements within the framework of the slowly varying envelope approximation (SVEA) of the nonlinear Schrödinger-type envelope equations [9][10][11][12], and non-SVEA models [13][14][15][16][17]. In media with cubic (Kerr-type) optical nonlinearity the physics of (1+1)-dimensional FCPs can be adequately described beyond the SVEA by using different dynamical models, such as the modified Korteweg-de Vries (mKdV) [13], sine-Gordon (sG) [14,15], or mKdV-sG equations [16][17][18].…”

Coherent Optical Control of the Ultrafast Dephasing of Phonon-Plasmon Coupling in a Polar Semiconductor Using a Pulse Train of Below-Band-Gap Excitation

“…This implies that carrier mobility can also be efficiently controlled and dramatically enhanced by synchronizing the pulse train with the coherent oscillation of the carrier-relevant coupled mode. Below-band-gap excitation of semiconductors suggests a key technique to realize the dephasing-free dynamics, such as efficient coherent control of spins [1] and extremely stable solitons [2]. The ac Stark effect shows that virtual excitations by the below-band-gap excitation give rise to exactly same physical processes as real ones except that they cause no relaxation and have no lifetime [3][4][5].…”

Few-cycle solitons in supercontinuum generation dynamics

“…However, since the pulse duration L has the same order of magnitude as the wavelength λ, the SVEA, which is intrinsically a perturbative approach, is not valid in general, and uselessly complicates the mathematical approach of solitary waves. Therefore a completely different approach to few-optical-cycle pulse propagation has been developed, based on KdV-type models [7,8]; see also the reviews [9][10][11]. The first objective of this approach is to highlight a few classes of few-cycle pulse formation and solitary wave dynamics, which can be relevant in supercontinuum generation and other ultrashort pulse propagation in highly nonlinear waveguides.…”