Non-commutative space engine: A boost to thermodynamic processes

We introduce quantum heat engines that perform Otto cycle and the Stirling by using a coupled pair of harmonic oscillator as its working substance. In regime, different medium is considered for analysis engine models to boost efficiency cycles. this work, we present in realm where phase space non-commutative nature. By notion thermodynamics, develop thermodynamic variables space. encounter catalytic effect (boost) on (i.e. reaches near ideal cycle) when compared with commutative Moreover, obtained much more effective than cycle.