Non-Markovian Transmission through Two Quantum Dots Connected by a   Continuum
  We consider a transport setup containing a double-dot connected by a continuum. Via an exact solution of the time-dependent Schr\"odinger equation, we demonstrate a highly non-Markovian quantum-coherence-mediated transport through this dot-continuum-dot (DCD) system, which is in contrast with the common premise since in typical case a quantum particle does not reenter the system of interest once it irreversibly decayed into a continuum (such as the spontaneous emission of a photon). We also find that this DCD system supports an unusual steady state with unequal source and drain currents, owing to electrons irreversibly entering the continuum and floating there. 
Yunshan Cao, Luting Xu, Jianyu Meng and Xin-Qi Li
cond-mat.mes-hall