Fast forward of adiabatic control of tunneling states

摘要

By developing the preceding work on the fast forward of transient phenomenaof quantum tunneling by Khujakulov and Nakamura (Phys. Rev. {\bf A 93}, 022101(2016) ), we propose a scheme of the exact fast forward of adiabatic control ofstationary tunneling states with use of the electromagnetic field. The ideaallows the acceleration of both the amplitude and phase of wave functionsthroughout the fast-forward time range. The scheme realizes the fast-forwardobservation of the transport coefficients under the adiabatically-changingbarrier with the fixed energy of an incoming particle. As typical examples wechoose systems with (1) Eckart's potential with tunable asymmetry and (2)double $\delta$-function barriers under tunable relative height. We elucidatethe driving electric field to guarantee the stationary tunneling state during arapid change of the barrier and evaluate both the electric-field-inducedtemporary deviation of transport coefficients from their stationary values andthe modulation of the phase of complex scattering coefficients