Quantum thermal chokelike behavior exhibited in a spin-boson model under noncommutative coupling

Studying heat transport in nonequilibrium dissipative systems is key to energy modulation. Driving thermal devices have attracted much attention from the perspective of active heat control. In this article, we explore the driving nonequilibrium spin-boson model with noncommutative coupling, which is described by a two-level system coupled to two bosonic baths in the (xcosθ+zsinθ) direction and z direction (dephasing channel), respectively. Based on the noncommutativity, we propose a model with quantum thermal chokelike behavior, where the currents flowing into the two thermal baths display distinctly different oscillation amplitudes. This phenomenon leads to a transformation of a largely oscillating current from one bath to nearly nonoscillating one at the other bath. To quantify the asymmetry in the oscillation amplitudes of the currents flowing into the two baths, we introduce a thermal choke ratio. This ratio exhibits a monotonic decrease as the noncommutativity parameter vanishes. We further calculate the time-independent currents via the Floquet theory using the secular approximation and find that they coincide with the time averages of the above oscillating currents. Moreover, we investigate the dependence of these time-independent mean currents on various parameters. Our findings will advance the understanding of externally driven thermal analogs of electronic devices, and contribute to energy transport control in nanoscale systems.