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1$T$-TaSe$_{2}$ is host to coexisting strongly-correlated phases includingcharge density waves (CDWs) and an unusual Mott transition at low temperature.Here, we investigate coherent phonon oscillations in 1$T$-TaSe$_{2}$ using acombination of time- and angle-resolved photoemission spectroscopy (TR-ARPES)and time-resolved reflectivity (TRR). Perturbation by a femtosecond laser pulsetriggers a modulation of the valence band binding energy at the $\Gamma$-point,related to the Mott gap, that is consistent with the in-plane CDW amplitudemode frequency. By contrast, TRR measurements show a modulation of thedifferential reflectivity comprised of multiple frequencies belonging to thedistorted CDW lattice modes. Comparison of the temperature dependence ofcoherent and spontaneous phonons across the CDW transition shows that theamplitude mode intensity is more easily suppressed during perturbation of theCDW state by the optical excitation compared to other modes. Our resultsclearly identify the relationship of the in-plane CDW amplitude mode with theMott phase in 1$T$-TaSe$_{2}$ and highlight the importance of lattice degreesof freedom.

Coherent phonons and the interplay between charge density wave and Mott phases in 1$T$-TaSe$_{2}$