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 ‐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 ‐deformation modifies the energy spectrum and creates distinct performance regions in the (, ) parameter space. Low () and high () favor optimal heat engine efficiency, whereas high () and low () improve refrigerator performance. The heat engine efficiency peaks in the low‐(), high‐() 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.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 ‐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 ‐deformation modifies the energy spectrum and creates distinct performance regions in the (, ) parameter space. Low () and high () favor optimal heat engine efficiency, whereas high () and low () improve refrigerator performance. The heat engine efficiency peaks in the low‐(), high‐() 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.

Annalen der PhysikJul 1, 20260 citations

Quantum coherence and Carnot engines

Lawrence S. Schulman, Bernard Gaveau

Physica E Low-dimensional Systems and NanostructuresJul 6, 20052 citations

A new dynamical group approach to the modified Poschl-Teller potential

Shi‐Hai Dong, R. Lemus

The properties of the modified Pöschl-Teller (MPT) potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the $su(2)$ algebra. Analytical expressions for the functions $\sinh(αx)$ and $\frac{\cosh(αx)}α \frac{d}{dx}$ are evaluated from these ladder operators. The expansions of the coordinate $x$ and momentum $\hat p$ in terms of the $su(2)$ generators are presented. This analysis allows to establish an exact quantum-mechanical connection between the $su(2)$ vibron model and the traditional descriptions of molecular vibron.The properties of the modified Pöschl-Teller (MPT) potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary variable. It is shown that these operators are associated to the $su(2)$ algebra. Analytical expressions for the functions $\sinh(αx)$ and $\frac{\cosh(αx)}α \frac{d}{dx}$ are evaluated from these ladder operators. The expansions of the coordinate $x$ and momentum $\hat p$ in terms of the $su(2)$ generators are presented. This analysis allows to establish an exact quantum-mechanical connection between the $su(2)$ vibron model and the traditional descriptions of molecular vibron.

arXiv:quant-ph/0110157Oct 27, 20016 citations

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

Collins O. Edet, Norshamsuri Ali, Rosdisham Endut +1 more

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.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.

quant-pharXiv:2605.24483May 26, 20260 citations

su(2)

algebra. Analytical expressions for the functions

\sinh(αx)

and

\frac{\cosh(αx)}α \frac{d}{dx}

are evaluated from these ladder operators. The expansions of the coordinate

x

and momentum

\hat p

in terms of the

su(2)

generators are presented. This analysis allows to establish an exact quantum-mechanical connection between the

su(2)

vibron model and the traditional descriptions of molecular vibron.

Quantum Otto machine with

q

-deformed Pöschl-Teller oscillator

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.