Engineering entanglement between resonators by hot environment

Abstract Autonomous quantum thermal machines do not require an external coherent drive or work input to perform the desired tasks, making them a promising candidate for management in systems. Here, we propose autonomous machine which two uncoupled macroscopic mechanical resonators microwave achieve considerable entanglement via hot bath. This becomes possible by coupling common two-level system third harmonic oscillator and driving it incoherent The critical step make involves suitable engineering of bath, realized bath spectrum filtering. Our results suggest that filtering can be alternative typical non-autonomous reservoir schemes create exotic states.