A quantum Stirling heat engine operating in finite time

Abstract

In a quantum Stirling heat engine, the heat exchanged with two thermal baths is partly utilized for performing work by redistributing the energy levels of the working substance. We analyze the thermodynamics of a quantum Stirling engine operating in finite time. We develop a model in which a time-dependent potential barrier changes the energy-level structure of the working substance. The process takes place under a constant interaction with the thermal bath. We further show that in the limit of slow operation of the cycle and low temperature, the efficiency of such an engine approaches Carnot efficiency. We also show that the maximum output power , for the strokes that affect the energy levels, is obtained at an intermediate operating speed, demonstrating the importance of a finite-time analysis.

arXiv comment11 pages, 8 figures

References in corpus (64)

• Non-Markovian dynamics in open quantum systems
• Quantum Thermodynamic Cycles and quantum heat engines
• A single-atom heat engine
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• A nano heat engine beyond the Carnot limit
• Single ion heat engine with maximum efficiency at maximum power
• Work extraction and thermodynamics for individual quantum systems
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• The quantum harmonic Otto cycle
• Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
• More bang for your buck: Towards super-adiabatic quantum engines
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Quantum Szilard Engine
• Quantum absorption refrigerator with trapped ions
• Demonstrating a Driven Reset Protocol of a Superconducting Qubit
• Quantum Heat Engine With Multi-Level Quantum Systems
• Microwave-Induced Cooling of a Superconducting Qubit
• Quantum-Classical Transition of Photon-Carnot Engine Induced by Quantum Decoherence
• A Coupled Quantum Otto Cycle
• Efficient Quantum Measurement Engine
• A two-qubit engine fueled by entangling operations and local measurements
• Analog of a quantum heat engine using a single-spin qubit
• Experimental realization of a quantum dot energy harvester
• Maximum-power quantum-mechanical Carnot engine
• Nonadiabatic single-qubit quantum Otto engine
• Quantum Signatures in the Quantum Carnot Cycle
• Active resonator reset in the nonlinear dispersive regime of circuit QED
• Efficiency at maximum power output of quantum heat engines under finite-time operation
• Non-local transport via edge-states in InAs/GaSb coupled quantum wells
• Quantum Otto engine with a spin $1/2$ coupled to an arbitrary spin
• Experimental verification of fluctuation relations with a quantum computer
• Refrigeration beyond weak internal coupling
• Low-dissipation Carnot-like heat engines at maximum efficient power
• A quantum Szilard engine without heat from a thermal reservoir
• Quantum measurement engines and their relevance for quantum interpretations
• Finite-time quantum Stirling heat engine
• Experimental characterization of the energetics of quantum logic gates
• Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine
• Measurement-based quantum heat engine in a multilevel system
• Maxwell's Demon Based on a Single Qubit
• Experimental Signatures of the Inverted Phase in InAs/GaSb Coupled Quantum Wells
• Quantum heat engine based on level degeneracy
• Efficiently Fuelling a Quantum Engine with Incompatible Measurements
• When is a quantum heat engine quantum?
• Non-thermal quantum engine in transmon qubits
• Quantum Otto cycle efficiency on coupled qudits
• Temperature dependent maximization of work and efficiency in a degeneracy assisted quantum Stirling heat engine
• Finite-time quantum Otto engine: Surpassing the quasi-static efficiency due to friction
• Relativistic quantum heat engine from uncertainty relation standpoint
• Minimal two-body quantum absorption refrigerator
• Effects of system-bath coupling on Photosynthetic heat engine: A polaron master equation approach
• Bound on efficiency of heat engine from uncertainty relation viewpoint
• Lateral p-n Junction in an Inverted InAs/GaSb Double Quantum Well
• Photonic heat transport across a Josephson junction
• Influence of etching processes on electronic transport in mesoscopic InAs/GaSb quantum well devices
• An Interaction-Free Quantum Measurement-Driven Engine
• Recent Developments in Quantum-Circuit Refrigeration
• Enabling the self-contained refrigerator to work beyond its limits by filtering the reservoir
• Quantum heat engines with complex working media, complete Otto cycles and heuristics
• Reversing the Landauer's erasure: single-electron Maxwell's demon operating at the limit of thermodynamic efficiency
• Quantum particle in a split box: Excitations to the ground state
• The many avatars of Curzon-Ahlborn efficiency
• Superlattice nanowire heat engines with direction-dependent power output and heat current

Cited by in corpus (4)

• Quantum Thermal Analogs of Electric Circuits: A Universal Approach
• Quantum work: Reconciling quantum mechanics and thermodynamics
• Artificially intelligent Maxwell's demon for optimal control of open quantum systems
• Quantum machines using ${\mathrm{Cu}}_3$-like compounds modeled by Heisenberg antiferromagnetic in a triangular ring