Control of many-body localization in a network of disordered quantum spins
The discovery of disorder induced localization in the presence of interactions, known as many-body localization (MBL), opened a new field of theoretical and experimental investigation, regarding storage of quantum information. We study the disordered and dissipative isotropic Heisenberg chain beyond the nearest-neighbor interaction. We focus on the spin-current, which is controlled via two Lindblad-reservoirs at the edges of the chain and driven due to a potential difference of the reservoirs. We show that the scaling of the spin-current with the system-size can be controlled with the driving and the disorder strengths introduced via an external magnetic field. This scaling transition may guide to MBL and related to that, a storage of long surviving quantum memory in extended quantum networks could be possible.