The exact dynamics of a Rydberg-dressed triple-well system with nonreciprocal coupling

We investigate quantum tunneling in a Rydberg-dressed triple-well system with nonreciprocal coupling via the tilting-locking reverse engineering. Firstly, we construct an exact and robust tunneling passage and an arbitrary population distribution of particle can be obtained by choosing appropriate parameter value. Subsequently, when nonlinear interactions coexist with nonreciprocal effects, we show that different initial states exhibit novel dynamical behaviors. For the large value of the non-reciprocal parameter γ, the dynamics of this case become extremely unstable and heavy oscillation behavior will be occurred for the averaged populations of each wells. Fortunately, our approach removes the effect of non-nonlinear interactions while simultaneously eliminating nonreciprocal coupling, which provides a more stable and robust path for inter-well tunneling.