Controllable dissipation of a qubit coupled to an engineering reservoir

Abstract

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.