Adiabatic stabilization of excitons in intense terahertz laser
High-precise calculation of near-infrared absorption and transient spectra in bulk semiconductors
irradiated by an intense terahertz (THz) laser shows that, the ionization rate of the ground-state
exciton, probed through the dynamic Fano resonance, may decrease with the increase of the THz
laser intensity. This counterintuitive e.ect indicates the excitons are stabilized against the .eldionization.
The much lower Rydberg energy and "atomic unit" of laser intensity for excitons, and the
possibility of creating excitons from the "vacuum state" allow observing the excitonic stabilization
in experiments, in contrast to the case of atomic stabilization.
In accordance to Einstein's theory of the photoelectric
effect, an electron can be stripped from its atom by light
beams with sufficiently high frequency. As the intensity
of a light beam is increased, the stripping probability
of the electron increases owing to the increasing number
of photon impacts. Surprisingly, since the late 1980's,
theoretical investigations and numerical simulations [8,9]
have predicted that when the electric field, associated
with a laser of sufficiently high intensity and frequency,
approaches or exceeds the electrostatic field between the
electron and the ion in an atom, the wave function of
the irradiated atom may be distorted adiabatically into
a distribution with two well separated peaks. The peak
spacing increases with increasing the field intensity, thus
the atomic electron spends more time far away from the
nucleus, and the ionization rate slows down dramatically
till almost totally suppressed. In other words, the adiabatic
stabilization of the atom occurs.
The observation of this atomic stabilization e.ect is,
however, extremely difficult. Firstly, for the atomic
ground state, the high-frequency and high-intensity condition
requires an extreme ultraviolet laser with intensity
larger than an atomic unit (~ 3.51 x 1016 W/cm2), which
seems not available in the near future. Secondly, and
more vitally, sufficiently slow turn-on is demanded for
the laser pulse to adiabatically drive the atomic ground
state into a stable dressed state; during the rise time of
the super-intense laser pulse, however, substantial ionization
has already been inevitable [10], which prevents
the e.ect from observation. Some researchers even argued
that it was impossible to observe such an adiabatic
stabilization of atoms [11,12]. In fact, except for a few disputable
indications for the stabilization of high Rydberg
states [13], so far there is no unambiguous experimental
evidence for the atomic stabilization.
It is compelling to settle the debate whether this e.ect
exists or not. Apart from the pure curiosity in basic research,
the atomic stabilization is also of importance in
potential application, such as the high harmonic generation
[14] and quantum computation [15], as it can quench
the undesired ionization and dephasing caused by the intense
laser that is used to drive electrons or to manipulate
a qubit in an atom.
The excitonic stabilization (XS), in contrast to its atomic
counterpart, is de.nitely an observable e.ect, owing to
the basic characteristic of excitons that they are created
from "vacuum" of carriers by the interband optical excitation.
In our study, the dressed exciton states are prepared
by weak near-infrared (NIR) laser pulses in semiconductors
in the presence of a quasi-continuous terahertz
(THz) field, as in most recent experiments on the
dynamical Franz-Keldysh effect [16,18]. The ionization
rate or lifetime of the dressed excitons can be directly extracted
by monitoring either the linewidth of absorption
peaks or the decay time of transient signals. Thus the
"turn-on" problem is safely circumvented as long as the
pulsed interband excitation and the following dephasing
process of excitons are well covered by the
attop region
of the THz laser pulse.
Moreover, the present laboratory gear is already ready
for observing the XS effect. Due to the small effective
mass µ and large dielectric constant E, an exciton
has much smaller binding energy EB than the hydrogen
atom does, and the "excitonic unit" for laser intensity
in a typical semiconductor like GaAs is about
10 orders of magnitude smaller than the atomic unit. So,
the "high-intensity and high-frequency" requirement for
the XS can readily be fulfilled by the free-electron lasers
operating with MW/cm2 power and THz frequency [19].
Our investigation is based on the high-precise calculation
of interband optical spectra, which includes properly
the Coulomb interaction, the nonperturbative ac-field,
and the contribution of continuum states. To avoid unnecessary
complexity, the excitonic state is treated within
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