The efficiency of simple Quantum Engine Stirling and Ericsson cycle

Abstract

The quantum engine cycle serves as an analogous representation of the macroscopic nature of heat engines and the quantum regime of thermal devices composed of a single element. In this work, we follow the formalism of a quantum engine proposed by Bender et al. [1] where they observed quantum Carnot cycle with a single particle of mass m confined to an infinite one-dimensional potential well of width L as a working medium. Using this model, a quantum-mechanical analogue of the Stirling cycle [SC] and Ericsson cycle [EC] have been constructed through changes of both, the width of the well and its quantum state. The efficiency of quantum engines is derived, which is found to be analogous to classical thermodynamic engines. Keywords: Quantum thermodynamics, Quantum mechanics, Ericsson cycle, Stirling cycle, Quantum heat engines, Nano-engines.

arXiv comment11 pages, 2 figures

References in corpus (13)

• Quantum Thermodynamic Cycles and quantum heat engines
• Single ion heat engine with maximum efficiency at maximum power
• The quantum harmonic Otto cycle
• Performance of discrete heat engines and heat pumps in finite time
• Quantum mechanical Carnot engine
• The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
• Quantum-Classical Transition of Photon-Carnot Engine Induced by Quantum Decoherence
• Characteristics of the Limit Cycle of a Reciprocating Quantum Heat Engine
• Performance of superadiabatic quantum machines
• Maximum-power quantum-mechanical Carnot engine
• Driven Spin Systems as Quantum Thermodynamic Machines: Fundamental Limits
• Boosting the performance of the Quantum Otto heat engines
• The efficiency of quantum engines in the Poschl-Teller oscillator model