Within the one-dimensional tight-binding model;rnd chi-3 approximation, we have calculated four-wave-mixing (FWM) signals for a semiconductor superlattice in the presence of both static and high-frequency electric fields. When the exciton effect is negligible, the time-periodic field dynamically delocalizes the otherwise localized Wannier-Stark states, and accordingly quasienergy band structures are formed, and manifest in the FWM spectra as a series of equally separated continua. The width of each continuum is proportional to the joint width of the valence and conduction minibands and is independent of the Wannier-Stark index. The realistic homogeneous broadening blurs the continua into broad peaks, whose line shapes, far from the Lorentzian, vary with the delay time in the FWM spectra. The swinging range of the peaks is just the quasienergy bandwidth. The dynamical delocalization (DDL) also induces significant FWM signals well beyond the excitation energy window. When the Coulomb interaction is taken into account, the unequal spacing between the excitonic Wannier-Stark levels weakens the DDL effect, and the FWM spectrum is transformed into groups of discrete lines. Strikingly, the groups are evenly spaced by the ac field frequency, reflecting the characteristic of the quasienergy states. The homogeneous broadening again smears out the line structures, leading to the excitonic FWM spectra quite similar to those without the exciton effect. However, all these features predicted by the dynamical theory do not appear in a recent experiment [Phys. Rev. Lett. 79, 301 (1997)], in which, by using the static approximation the observed Wannier-Stark ladder with delay-time-dependent spacing in the FWM spectra is attributed to a temporally periodic dipole field, produced by the Bloch oscillation of electrons in real space. The contradiction between the dynamical theory and the experiments is discussed. In addition, our calculation indicates that the dynamical localization coherently enhances the time-integrated FWM signals. The feasibility of using such a technique to study the dynamical localization phenomena is shown. [S0163-1829(99)10607-6].

Degenerate four-wave-mixing signals from dc- and ac-driven semiconductor superlattice

Via the numerical analysis on the intraband dynamics of optically excited semiconductor superlattices, we find that time-integrated squared THz emission signals can be used for probing both dynamic localization and multi-photon resonance in the coherent regime. Competition effect between dynamic localization and photon-assisted transport has also been discussed.

Dynamic localization versus photon-assisted transport in semiconductor superlattices driven by dc-ac fields

Within a two-band tight-binding model, we investigate Rabi oscillations of electrons in superlattices driven by electric fields beyond the weak interband coupling regime. By the analytical and numerical studies, conditions for Rabi oscillations and oscillation period are obtained. A picture showing the influence of electric fields on the dynamics of Bloch electrons is given. The possibility of experimental observations is discussed.

Rabi oscillations between Bloch bands beyond weak interband coupling regime

We discuss the properties of miniband electrons in a superlattice illuminated by a strong electromagnetic field. If the ac field is in resonance with a two-miniband superlattice, gaps in the quasienergy spectrum appear. The gap is proportional to the Bessel function and oscillates with the ac electric field. The resonant ac driving force makes the quasienergy spectrum tunable and may decrease the critical dc field for electrical domains to form.

/pdf/superlattice-in-an-interminiband-resonance-ac-field-wmj8uuxygk.pdf

Superlattice in an interminiband resonance ac field

We study time evolution of the interacting system consisting of quantized photon field and electron field in semiconductor superlattices analytically/numerically. In the single-subband condition, the electron dynamics is able to generate several nonclassical photon states depending on the external dc bias. Effects of the intersubband transition for the quantized photon states is investigated in the multi-subband condition. Competition of two-kinds of intersubband electron dynamics, Rabi oscillation and Zener tunneling, is discussed.

Dynamics of Quantized Photon and Electron Field in Semiconductor Multi-Subbands Superlattices

Within a two-band tight-binding model driven by arbitrary time-dependent electric fields, we investigate the interband transitions and obtain closed-form solutions in the real space, from which we show that there are two essentially opposite evolution behaviors of the system: interband resonances and miniband localization. We also find that in weak interband coupling, as expected, the perturbative solutions are in good agreement with the exact numerical calculations.

Interband transitions of superlattices in arbitrary time-dependent electric fields: an analytical approach of closed-form solutions in the real space

Within a two-band tight-binding model driven by DC–AC electric fields, we investigate the dynamics of electrons with Markoffian dephasing We find that Rabi oscillations between the Bloch bands under the resonant condition may be destroyed by scattering from lattice imperfections Through a perturbative calculation, we also obtain the effective decay time for the approach to equal Bloch band populations under conditions of small interband coupling and in the long-time limit The decay rate shows characteristic sharp peaks at values of the parameters that give a signature of Rabi oscillations, and quasienergy spectra display avoided crossings at the same time

Rabi oscillations between dissipative Bloch bands

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Interband transitions of superlattices in arbitrary time-dependent electric fields: an analytical approach of closed-form solutions in the real space

Rabi oscillations between dissipative Bloch bands