Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and nonadiabatic topological transport of edge states

We systematically investigate Landau-Zener-St"uckelberg-Majorana (LZSM) interference under chiral-mirror-like symmetry and propose its application to nonadiabatic topological transport of edge states. Protected by this symmetry, complete destructive interference emerges and can be characterized through occupation probability. This symmetry-protected LZSM interference enables state transitions to be achieved within remarkably short timescales. To demonstrate our mechanism, we provide two distinctive two-level systems as examples and survey them in detail. By tuning evolution speed or increasing holding time, the complete destructive interferences are observed. Furthermore, we make use of this mechanism for topological edge states of Su-Schrieffer-Heeger (SSH) chain by taking them as an isolated two-level system. Through carefully designed time sequences, we construct symmetry-protected LZSM interference of topological edge states, enabling nonadiabatic topological transport. Our work unveils an alternative way to study quantum control, quantum state transfer, and quantum communication via nonadiabatic topological transport.