We propose the scheme of temporal double-slit interferometer to precisely
measure the electric field of shaped intense femtosecond laser pulse directly,
and apply it to control the electron tunneling wave packets in attosecond
precision. By manipulating the spectra phase of the input femtosecond pulse in
frequency domain, one single pulse is split into two sub-pulses whose waveform
can be precisely controlled by adjusting the spectra phase. When the shaped
pulse interacts with atoms, the two sub-pulses are analogous to the Young's
double-slit in time domain. The interference pattern in the photoelectron
momentum distribution can be used to precisely retrieve the peak electric field
and the time delay between two sub-pulses. Based on the precise
characterization of the shaped pulse, we demonstrate that the sub-cycle
dynamics of electron can be controlled with attosecond precision. The above
scheme is proved to be feasible by both quantum-trajectory Monte Carlo
simulations and numerical solutions of three-dimensional time-dependent
Schr\"{o}dinger equation.Comment: 10 pages,4 figure