Collective quantum dynamics of molecular ensembles coupled to a Cavity

Overview & Synopsis

This thesis aims to develop a deeper theoretical understanding of the collective, dissipative quantum dynamics of cavity-coupled molecular ensembles in three parts: First, a cavity is used in a novel scheme for dissipative formation of ultra-cold ground state molecules with collectively enhanced efficiency, which can be efficiently simulated for very large (> 106 molecules) ensembles. Secondly, the analysis is extended to room-temperature polaritonic chemistry. Here, regimes for modified reaction dynamics are identified for a simple photo-induced electron transfer reaction under incoherent pumping. Then, it is shown that entanglement between vibrational and electro-photonic degrees of freedom can be significantly enhanced by introducing disorder into the system using matrix product state simulations. For the disorder-less regime, further efficient approximations methods are developed. Thirdly, in a recent project, the build-up of operator entanglement is studied in an open spin-chain with dephasing, which is found to exhibit logarithmic growth.