Quantum Otto machine with $q$-deformed Pöschl-Teller oscillator

Abstract

We study the impact of the potential parameters of the q-deformed modified Pöschl-Teller potential on the thermodynamic performance of a quantum Otto cycle, where the $q$-deformed modified Pöschl-Teller potential serves as the working substance. Analytical expressions for the energy spectrum and wave functions are derived, enabling a systematic investigation of heat exchange, work output, efficiency, and coefficient of performance. We show that $q$-deformation modifies the energy spectrum and creates distinct performance regions in the ($q$, $Δ$) parameter space. Low ($Δ$) and high ($q$) favour optimal heat engine efficiency, whereas high ($Δ$) and low ($q$) improve refrigerator performance. The heat engine efficiency peaks in the low-($Δ$), high-($q$) regime. These results highlight the q-deformed modified Pöschl-Teller potential as a versatile and tunable platform for exploring potential parameter-driven effects in quantum thermal machines.