Photodetachment of an electron from a negative ion in the near-threshold region. II. Pulses of radiation with smooth time envelopes

Universal Dynamical Control of Quantum Mechanical Decay: Modulation of the Coupling to the Continuum

“…For sufficiently long times one can use Eq. (10). The poles and residues ofê͑s͒ ͑1 2 e 2st ͓͒͞s͑1 2 e if2st ͔͒ yield v k 2kp͞t 2 f͞t and jl k j 2 4 sin 2 ͑f͞2͒͑͞2kp 2 f͒ 2 .…”

“…Conversely, the increase of R due to a shift can be much greater than that achievable with the AZE [2]. In practice, however, ac Stark shifts are usually small for (CW) monochromatic perturbations, whence pulsed perturbations should often be used, resulting in multiple v k shifts according to (10).…”

“…In this case one can retain only the k 0 term in Eq. (10) [unless G͑v͒ is changing very fast]. Then the modulation acts as a constant shift D 2f͞t.…”

Theory of Dynamical Control of Qubit Decay and Decoherence

“…One then obtains from the Schrödinger equation that the amplitude obeys the exact integrodifferential equation [38]- [41] (6) where (7) is the reservoir response (memory) function and (8) Thus, the adiabatic modulation can be accounted for by the time-dependent unitary transformation (8) of the coupling term.…”

Soluble models of optical systems driven by exponential pulses

“…The equations (8) are rather difficult to handle due to their integro-differential character. Depending on the choice of d ( w ) they may describe, for example, laserinduced autoionisation (Rzqiewski 1983), near threshold photodetachment (Rzgzewski et a1 1982, Fedorov andKazakov 1983) or overlapping autoionising series (Alber and Zoller 1984). In all these cases the time dependence of the field envelope f(t) leads to significant physical effects.…”