Time- and spectrum-resolved quantum-path interferometry reveals exciton dephasing in MoS$_2$ under strong-field conditions

Floquet engineering, the nonthermal manipulation of material properties on ultrafast timescales using strong and time-periodic laser fields, has led to many intriguing observations in quantum materials. However, recent studies on high-order harmonic generation from solids reveal exceptionally short dephasing times for field-dressed quantum states, thereby raising questions about the feasibility of Floquet engineering under strong-field conditions. In this study, we employ time- and spectrum-resolved quantum-path interferometry to investigate the dephasing mechanism of excitons driven by intense terahertz fields in bulk MoS$_2$. By driving with a photon energy far below the material bandgap, we observe strong hybridization of exciton excited states, with resonant transitions to these states leading to phase and amplitude modulations in interferograms. Our results reveal a field-strength-dependent dephasing rate of dressed excitons, with exciton dissociation identified as the primary cause of exciton dephasing under high driving fields. Importantly, we demonstrate that strong-field-driven excitons can exhibit long dephasing times, supporting the feasibility of Floquet engineering in strong-field environments. Our study sheds light on the underlying physics of strong-field-driven exciton decoherence and underscores the potential for nonthermal manipulation of quantum materials.