The Poschl-Teller Like Description of Quantum Mechanical Carnot Engine

TL;DR

This paper presents a quantum heat engine model based on the Poschl-Teller potential, demonstrating a quantum analog of the Carnot cycle with derived efficiency comparable to classical engines.

Contribution

It introduces a novel quantum heat engine using the Poschl-Teller potential, extending previous models and deriving its efficiency within a quantum thermodynamic framework.

Findings

Quantum Carnot cycle constructed with Poschl-Teller potential

Efficiency derived and shown to be analogous to classical engines

Uses adiabatic and isothermal quantum processes

Abstract

In this work an example of a cyclic engine based on a quantum-mechanical properties of the strongly non linear quantum oscillator described by the Poschl-Teller [PT] model is examined. Using the [PT] model as shown in our earlier works [1-4], a quantum-mechanical analog of Carnot cycle (i.e quantum heat engine) has been constructed through the changes of both, the width L of the well and its quantum state. This quantum heat engine has a cycle consisting of adiabatic and isothermal quantum processes. The efficiency of the quantum engine based on the Poschl-Teller-like potential is derived and it is analogous to classical thermodynamic engines.