We study the open system dynamics of a harmonic oscillator coupled with an artificially engineered reservoir. We single out the reservoir and system variables governing the passage between Lindblad-type and non-Lindblad-type dynamics of the reduced system’s oscillator. We demonstrate the existence of conditions under which virtual exchanges of energy between system and reservoir take place. We propose to use a single trapped ion coupled to engineered reservoirs in order to simulate quantum Brownian motion.
Maniscalco, S., Piilo, J., Intravaia, F., Petruccione, F., & Messina, A. (2004). Simulating quantum Brownian motion with single trapped ions. Physical Review A, 69(5), . https://doi.org/10.1103/PhysRevA.69.052101