Direct manipulation of the atomic lattice using intense long-wavelength laser pulses has become a viable approach to create new states of matter in complex materials. Conventionally, a high frequency vibrational mode is driven resonantly by a mid-infrared laser pulse and the lattice structure is modified through indirect coupling of this infrared-active phonon to other, lower frequency lattice modulations. Here, we drive the lowest frequency optical phonon in the prototypical transition metal oxide SrTiO3 well into the anharmonic regime with an intense terahertz field. We show that it is possible to transfer energy to higher frequency phonon modes through nonlinear coupling. Our observations are carried out by directly mapping the lattice response to the coherent drive field with femtosecond x-ray pulses, enabling direct visualization of the atomic displacements.In many complex condensed matter systems, small changes to the crystal lattice structure can drastically alter electronic properties including conductivity, polarization, orbital, charge, and spin-order 1-6 . Exploration of a phase diagram conventionally requires changing external parameters such as chemical composition, temperature, static pressure, strain or magnetic fields 6-9 . Additionally, optical excitation using ultrashort laser pulses has been used to dynamically change the electronic and crystal structure 2-5,10,11 . This method allows access to nonequilibrium states of matter that show unconventional and unique properties. Recent developments in mid-infrared laser sources have enabled a new route to control material properties: resonant excitation of phonon modes to dynamically alter the lattice structure and phonon-phonon coupling are exploited to coherently control inaccessible (i.e. non-infraredactive) phonon modes 12 . This approach is often dubbed "nonlinear phononics" and requires precisely tuned mid-infrared radiation and impulsive excitation 13 .Here we show a completely novel approach to alter the lattice structure by driving the lowest frequency optical phonon of the incipient ferroelectric SrTiO3 (STO) into the strongly nonlinear regime by using intense broadband terahertz (THz) radiation. Specifically, we demonstrate that it is possible to transfer energy from a low-frequency phonon mode to higherfrequency modes. We anticipate that our approach will open up a deeper understanding of quantum materials through direct manipulation of the lattice structure and the utilization of dynamic coupling of vibrational modes.
STO has a low-frequency zone-center transverse optical (TO) phonon that is infrared (IR)active and highly temperature dependent [14][15][16] . This so called soft-mode phonon mediates the ferroelectric phase transition in primarily displacive ferroelectrics such as BaTiO3 or PbTiO3 17-19 .In bulk STO, while the soft mode shifts to lower frequencies with decreasing temperature, the system never reaches a ferroelectric state due to quantum fluctuations 20 . The temperature dependence and large anharmonicity make this mode ide...