Quantum mechanical Carnot engine

Abstract

A cyclic thermodynamic heat engine runs most efficiently if it is reversible. Carnot constructed such a reversible heat engine by combining adiabatic and isothermal processes for a system containing an ideal gas. Here, we present an example of a cyclic engine based on a single quantum-mechanical particle confined to a potential well. The efficiency of this engine is shown to equal the Carnot efficiency because quantum dynamics is reversible. The quantum heat engine has a cycle consisting of adiabatic and isothermal quantum processes that are close analogues of the corresponding classical processes.

10 pages

Cited by in corpus (102)

• Quantum Thermodynamics
• Quantum Thermodynamic Cycles and quantum heat engines
• Enhancing the charging power of quantum batteries
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Spin-chain model of a many-body quantum battery
• Irreversible Performance of a Quantum Harmonic Heat Engine
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
• Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
• Quantum Heat Engine With Multi-Level Quantum Systems
• Quantum thermal machines and batteries
• Minimal universal quantum heat machine
• Thermodynamics of quantum systems under dynamical control
• Work extremum principle: Structure and function of quantum heat engines
• Quantum Performance of Thermal Machines over Many Cycles
• Single-Temperature Quantum Engine Without Feedback Control
• Thermodynamics of discrete quantum processes
• Generalising Landauer's Principle
• Quantum Engines and Refrigerators
• Maximum-power quantum-mechanical Carnot engine
• Driven Spin Systems as Quantum Thermodynamic Machines: Fundamental Limits
• Measurement driven single temperature engine
• Quantum Signatures in the Quantum Carnot Cycle
• Entropy and Temperature of a Quantum Carnot Engine
• Quantum heat engine in the relativistic limit: The case of a Dirac particle
• Quantum Statistical Enhancement of the Collective Performance of Multiple Bosonic Engines
• Efficiency at maximum power output of quantum heat engines under finite-time operation
• Work extraction in the spin-boson model
• Similarity between quantum mechanics and thermodynamics: Entropy, temperature, and Carnot cycle
• Experimental validation of the $1/\tau$ -scaling entropy generation in finite-time thermodynamics with dry air
• Entropy-Based Formulation of Thermodynamics in Arbitrary Quantum Evolution
• Measurement-induced operation of two-ion quantum heat machines
• The Ising critical quantum Otto engine
• Monitoring quantum Otto engines
• Generalized energy measurements and modified transient quantum fluctuation theorems
• Magneto-strain-driven quantum engine on a graphene flake
• Small quantum networks operating as quantum thermodynamic machines
• Single-ion quantum Otto engine with always-on bath interaction
• Quantum thermodynamic Carnot and Otto-like cycles for a two-level system
• Optimization of a relativistic quantum mechanical engine
• Role of the superposition principle for enhancing the efficiency of the quantum-mechanical Carnot engine
• Magnetically driven quantum heat engine
• Maximum Power Output of Quantum Heat Engine with Energy Bath
• Construction and Optimization of the Quantum Analog of Carnot Cycles
• Information and Entropy in Quantum Theory
• Exotic properties and optimal control of quantum heat engine
• Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
• Coefficient of performance under maximum $\chi$ criterion in a two-level atomic system as a refrigerator
• Constructing an entangled Unruh Otto engine and its efficiency
• Efficiency and Its Bounds for a Quantum Einstein Engine at Maximum Power
• Quantum mechanical bound for efficiency of quantum Otto heat engine
• Non-Hermitian heat engine with all-quantum-adiabatic-process cycle
• Multi-level quantum Diesel engine of non-interacting fermions in a one-dimensional box
• Bernoulli's formula and Poisson's equations for a confined quantum gas: Effects due to a moving piston
• To Measure, or Not to Measure, That is the Question
• On the concept of pressure in quantum mechanics
• Microscopic thermal machines using run-and-tumble particles
• Gravitational Quantum Well as an Effective Quantum Heat Engine
• Fundamental aspects of steady state heat to work conversion
• Efficiency of optically pumping a quantum battery and a two-stroke heat engine
• Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle
• Maximally effcient quantum thermal machines fuelled by nonequilibrium steady states
• Quantum Brayton Engine of Non-Interacting Fermions in a One-Dimensional Box
• Principle of Minimal Work Fluctuations
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime
• Quantum heat engine with continuum working medium
• Relaxation of quantum states under energy perturbations
• The efficiency of quantum engines in the Poschl-Teller oscillator model
• Many-body quantum heat engines based on free-fermion systems
• Exploring the role of asymmetric-pulse modulation in quantum thermal machines and quantum thermometry
• Quantum corrections to the entropy and its application in the study of quantum Carnot engines
• Impurity reveals distinct operational phases in quantum thermodynamic cycles
• What Is the Temperature? Modern Outlook on the Concept of Temperature
• Maximum Power of Coupled-Qubit Otto Engines
• First Law of Quantum Thermodynamics in a Driven Open Two-Level System
• Quantum corrections to the entropy in a driven quantum Brownian motion model
• Multiparticle Quantum Heat Engine: Exploring the Impact of Criticality on Efficiency
• Quantum Otto engine mimicking Carnot near pseudotransitions in the one-dimensional extended Hubbard model in the atomic limit
• Photovoltaic efficiency at maximum power of a quantum dot molecule
• A Review of the System-Intrinsic Nonequilibrium Thermodynamics in Extended Space (MNEQT) with Applications
• Embedded Quantum Correlations in thermalized quantum Rabi systems
• Power-efficiency trade-off for finite-time quantum harmonic Otto heat engine via phase-space approach
• Gauge field and geometric control of quantum-thermodynamic engine
• Impact of nonideal cycles on the efficiency of quantum heat engines
• Universal principles for sudden-quench quantum Otto engines
• The Poschl-Teller Like Description of Quantum Mechanical Carnot Engine
• Maximum power of a two-dimensional quantum mechanical engine with spherical symmetry
• Enhancing Quantum Otto Engine Performance in Generalized External Potential on Bose-Einstein Condensation Regime
• Testing the Quantum of Entropy
• Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
• Quantum Isothermal Reversible Process of Particles in a Box with a Delta Potential
• Energy transfer using unitary transformations
• On the energetic analysis of autonomous quantum systems
• Quantum cooling by unitary transformations
• The (absence of a) relationship between thermodynamic and logical reversibility
• Ancilla measurement-based Quantum Otto engine using double-pair spin architecture
• Quantum machines using ${\mathrm{Cu}}_3$-like compounds modeled by Heisenberg antiferromagnetic in a triangular ring
• Quantum Analog of Carnot Engine
• Carnot heat engine efficiency with a paramagnetic gas
• The efficiency of simple Quantum Engine Stirling and Ericsson cycle
• Efficiency at the maximum power output for simple two-level heat engine
• Efficiency of the general quantum-mechanical Carnot engine