The efficiency of quantum engines in the Poschl-Teller oscillator model

TL;DR

This paper investigates the quantum thermodynamic efficiency of engines modeled by the Poschl-Teller oscillator, connecting quantum properties with classical thermodynamic cycles and deriving efficiency formulas.

Contribution

It introduces a quantum analog of thermodynamic cycles using the Poschl-Teller oscillator and derives efficiency expressions for quantum engines based on this model.

Findings

Derived efficiency formulas for quantum engines in the Poschl-Teller model

Constructed quantum analogs of Joule-Brayton and Otto cycles

Linked quantum oscillator properties with classical thermodynamic concepts

Abstract

In this work, the quantum-mechanical properties of the strongly non-linear quantum oscillator described by the Poschl-Teller PT model is examined. This model has a relation with two well-known models, the free particle FP in a box and the harmonic oscillator HO, as described in our previous works. Using the PT model, a quantum-mechanical analog of the Joule-Brayton JB cycle and Otto cycle have been constructed through changes of both, the width of the well and its the quantum state. The efficiency of quantum engines based on the Poschl-Teller-like potential is derived, which is analogous to classical thermodynamic engine