The controlled exciton transport of the Multi-chain system by cavity-dressed energy level crossings and anticrossings

The accomplished functions of a variety of quantum devices are closely associated with the controlling of exciton transport. To this end we study the exciton transport of the two-dimensional system consisting of two-level multichains with various coupling configurations in a cavity. Two types of the chains are considered, including Tavis-Cummings and Su-Schrieffer-Heeger chain. Two conformations of the coupling between chains are considered, including square and triangle type. The effects of the inter-chain coupling, dimerization parameter, the cavity, the length of chains, and the number of chains on the exciton transport are in detail investigated for different coupling configurations of the multi-chain system through spectra and steady-state dynamics. The results show that in the absence of a cavity the exciton transport effciency is decided by the distribution of population of exciton on whole chains. However, when the cavity is considered the exciton transport currents and effciency of the system is controlled by the cavity-dressed energy level crossings and anticrossings near zero-energy modes, at which the coherent excitation and Landau-Zener transitions occur. Therefore, the exciton transport can be enhanced or suppressed at the crossings and anticrossings, in which the polariton acts as crucial role. Besides, it is discovered that the exciton transport effciency is closely related with the parity of both the length and the number of chains. This work is important for the understanding of the exciton transport mechanism in the multichain-cavity system, and provides theoretical basis for excitonic devices with controllable and effcient exciton transport.