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

Abstract 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, then arbitrary population distributions of particles can be obtained by choosing appropriate parameter value. Subsequently, we show that different initial states exhibit some novel dynamical behaviors when nonlinear interactions coexist with nonreciprocal effects. Especially, for a large value of the non-reciprocal parameter γ , the dynamics of system become extremely unstable and oscillation behaviors 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.