Abstract We investigate the effective interaction between two heavy impurities immersed in a quasi-two-dimensional dipolar Bose–Einstein condensate via a variation approach. We show that the mediated interaction is highly tunable via the contact and the dipole–dipole interactions between the background gas atoms. Interestingly, the mediated interaction potential may become an oscillating function of inter-impurity distance when roton excitation emerges under sufficiently strong dipolar interaction. Our system therefore provides an efficient way for tuning the mediated interaction between impurities.
The dynamics and non-Markovianity of an atomic impurity qubit (AIQ) immersed in a structured environment is explored where the AIQ is driven by a two-dimensional field and the environment is a quasi-two-dimensional dipolar Bose-Einstein condensate (dBEC). We derive a non-Markovian master equation for the AIQ with initial correlation between the qubit and the dBEC, which contains all the influences of the non-Markovian environment on the atomic impurity qubit. Analyzing the spectrum density for the AIQ-dBEC coupled system and solving the dynamics of the qubit, we find that the atomic impurity qubit can be partially stabilized in its excited state by controlling the
x-direction field with the
y-direction field fixed. Our analysis reveals that it is the formation of the system-environment bound state that results in such a suppressed dissipation. The present paper is helpful for understanding the effect of the structured and modulated environment and enriches the dynamics of an open system.