Speakers
Description
Experiments in polaritonic chemistry have demonstrated that the collective coupling of molecules to a cavity can modify chemical reactions. These modifications could come from genuine quantum effects and the study of the full quantum dynamics is thus of high interest for such systems. Efficiently computing quantum many-body dynamics has been a very challenging goal and many attempts with different methods were proposed. Here, we try an approach based on the so-called Truncated Wigner Approximation (TWA) and its version for discrete systems, the Discrete Truncated Wigner Approximation (DTWA). Comparisons with exact solutions of some simple systems with mixed discrete and continuous degrees of freedom show the power and the limits of the methods. We demonstrate a good capability of the methods to capture exact dynamics for quadratic potentials in continuous systems and for two-body interactions in discrete systems. These previous results motivate us to apply TWA/DTWA techniques to a disordered Holstein-Tavis-Cummings model, a toy model for polaritonic chemistry.
