Bath-driven quantum spin transistor

The impact of the transistor in modern technology cannot be overstated. Moore's Law empirically ties transistor count to technological advancement, and the industry has miniaturized its structure to an impressive degree. A transistor model that leverages quantum resources in order to improve upon this component might bring substantial advantages. Meanwhile, recent works in open systems dynamics have now enabled better, fault-tolerant parameter tuning in experimental setups, pointing to possible extensions. We propose a scalable 1D thermal transistor, based upon the XXZ model, allowing for large thermal current differentials, achieving higher reliability with increasing system size. We devise ways to drive the current that flows through the system by modifying the baths coupled to the system, focusing on easily measurable quantities, allowing one to tune the current differential to up to 4 orders of magnitude even for weak bath coupling, which is the preferred regime of the current state of the art technologies.