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A quantum engine with n qubits performing thermodynamic cycles with twothermal reservoirs is presented. While such constructions have been aplenty,here we show the existence of what we term as "limit cycle" at a purely quantumlevel of description owing to the properties of superoperators governing theevolution of states. It is shown that the limit cycle is the same under forwardand reverse protocol of cycle operations. This limit cycle becomes the basis ofthe quantum engine. One dimensional Ising model has been used to illustratethese ideas.

Quantum thermodynamic cycles in the forward and time-reversed regimes