Attosecond control of solid-state high harmonic generation using {\omega}-3{\omega} fields

Controlling the electron dynamics in matter by individual oscillations of light fields has recently led to the development of attosecond metrology. One of the phenomena resulting from the nonlinear response of materials in the strong-field interaction regime is coherent emission of high energy photons. High harmonic spectra carry the fingerprints of sub-cycle electronic motion and the energy structure of the studied system. Here we show that tailoring the waveform of the driving light by using a coherent combination with its third harmonic frequency allows to control the electron tunneling time within each half-cycle of the fundamental wave with attosecond precision. We introduce an experimental scheme in which we simultaneously monitor the modulation of amplitude and emission delays of high harmonic radiation and the excited electron population generated in crystalline silicon as a function of the relative phase between the {\omega}-3{\omega} fields. The results reveal unambiguously the connection between the dynamics of electron tunneling and high harmonic generation processes in solids.