Controlling phonon squeezing and correlation via one- and two-phonon interference

Abstract: When ultrafast laser pulse strikes the crystal with a van Hove singularity in the phonon density of states, it can create a pair of anti-correlated in wave-vector acoustic phonons. As a result, the atomic fluctuations in either position or momentum become squeezed in such a way that their size might fall below the vacuum level. The ultrafast pulses can also generate a two-phonon bound (biphonon) state in which the constituent phonons are correlated and/or entangled. Here we show that via the interplay between one- and two-phonon interference the bound and squeezed two-phonon state in (110) oriented ZnTe single crystal can be manipulated. We demonstrate experimentally that when two biphonon ensembles are temporally and spatially overlapped, the strength of phonon squeezing and correlation can be controlled. However, due to the complementarity of one- and two-phonon interference a larger correlation comes at the expense of a reduced squeezing.