Fundamental aspects of steady-state conversion of heat to work at the nanoscale

Abstract

In recent years, the study of heat to work conversion has been re-invigorated by nanotechnology. Steady-state devices do this conversion without any macroscopic moving parts, through steady-state flows of microscopic particles such as electrons, photons, phonons, etc. This review aims to introduce some of the theories used to describe these steady-state flows in a variety of mesoscopic or nanoscale systems. These theories are introduced in the context of idealized machines which convert heat into electrical power (heat-engines) or convert electrical power into a heat flow (refrigerators). In this sense, the machines could be categorized as thermoelectrics, although this should be understood to include photovoltaics when the heat source is the sun. As quantum mechanics is important for most such machines, they fall into the field of quantum thermodynamics. In many cases, the machines we consider have few degrees of freedom, however the reservoirs of heat and work that they interact with are assumed to be macroscopic. This review discusses different theories which can take into account different aspects of mesoscopic and nanoscale physics, such as coherent quantum transport, magnetic-field induced effects (including topological ones such as the quantum Hall effect), and single electron charging effects. It discusses the efficiency of thermoelectric conversion, and the thermoelectric figure of merit. More specifically, the theories presented are (i) linear response theory with or without magnetic fields, (ii) Landauer scattering theory in the linear response regime and far from equilibrium, (iii) Green-Kubo formula for strongly interacting systems within the linear response regime, (iv) rate equation analysis for small quantum machines with or without ..... (SEE THE PDF FOR THE REST OF THIS ABSTRACT)

Review Article (158 pages). This is the final version (version 3) with typos corrected and a better layout. Some sections of this review are based on the shorter unpublished review arXiv:1311.4430

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• Bipolar Thermoelectric Josephson Engine
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• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
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• Universal Bounds on Fluctuations in Continuous Thermal Machines
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• Boosting the performance of small autonomous refrigerators via common environmental effects
• Hybrid Thermal Machines: Generalized Thermodynamic Resources for Multitasking
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• Non-Markovian quantum thermodynamics: laws and fluctuation theorems
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• Quasiperiodic quantum heat engines with a mobility edge
• Breakdown of the Wiedemann-Franz law in a unitary Fermi gas
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• Non-Abelian Quantum Transport and Thermosqueezing Effects
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• Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots
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• Enhancing coherent energy transfer between quantum devices via a mediator
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• Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine
• Collective effects on the performance and stability of quantum heat engines
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• Negative differential thermal conductance and heat amplification in a nonequilibrium triangle-coupled spin-boson system at strong coupling
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• Entropy current and efficiency of quantum machines driven by nonequilibrium incoherent reservoirs
• Multilevel quantum thermodynamic swap engines
• Thermodynamic Uncertainty Relations for Coherent Transport
• Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
• Beating Carnot efficiency with periodically driven chiral conductors
• Degree of coupling and efficiency of energy converters far-from-equilibrium
• On-Chip Cooling by Heating with Superconducting Tunnel Junctions
• Thermal dissipation in the quantum Hall regime in graphene
• Sub-diffusive phases in open clean long-range systems
• Thermal rectification and negative differential thermal conductivity based on a parallel-coupled double quantum-dot
• Phase-control of bipolar thermoelectricity in Josephson tunnel junctions
• Performance of the collective three-level quantum thermal engine
• Quantum control of nonlinear thermoelectricity at the nanoscale
• Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe
• Quantum thermodynamics of nanoscale thermoelectrics and electronic devices
• Designing Robust Quantum Refrigerators in Disordered Spin Models
• Dissipation-induced collective advantage of a quantum thermal machine
• Hybrid normal-superconducting Aharonov-Bohm quantum thermal device
• Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs?
• Heat currents in electronic junctions driven by telegraph noise
• Enhanced performance of a quantum-dot-based nanomotor due to Coulomb interactions
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Coulomb blockade oscillations of heat conductance in the charge Kondo regime
• Open Questions on Nonequilibrium Thermodynamics of Chemical Reaction Networks
• Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry
• Quantum thermoelectric and heat transport in the overscreened Kondo regime: Exact conformal field theory results
• Thermoelectric generator at optimal power with external and internal irreversibilities
• Dissipation suppression for an Unruh-DeWitt battery with a reflecting boundary
• Quantum-enhanced performance in superconducting Andreev-reflection engines
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Statistics of heat transport across capacitively coupled double quantum dot circuit
• Autonomous demon exploiting heat and information at the trajectory level
• Extractable work in quantum electromechanics
• Optimal quantum refrigeration in strained graphene
• Periodically refreshed quantum thermal machines
• Non-equilibrium thermoelectric transport across normal metal-Quantum dot-Superconductor hybrid system within the Coulomb blockade regime
• Quantum heat engines with complex working media, complete Otto cycles and heuristics
• Bipolar Thermoelectricity in Bilayer-Graphene--Superconductor Tunnel Junctions
• Analytically Solvable Model for Qubit-Mediated Energy Transfer between Quantum Batteries
• Thermodynamics of energy, charge and spin currents in thermoelectric quantum-dot spin valve
• Speed limit for open systems coupled to general environments
• Chiral quantum heating and cooling with an optically controlled ion
• Simulating time-dependent thermoelectric transport in quantum systems
• Limit cycles in periodically driven open quantum systems
• Optimization of stochastic thermodynamic machines
• Coulomb thermoelectric drag in four-terminal mesoscopic quantum transport
• Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
• Thermodynamic uncertainty relations for systems with broken time reversal symmetry: the case of superconducting hybrid systems
• Thermodynamic Uncertainty Relations for Steady-State Thermodynamics
• Wiedemann-Franz law in scattering theory revisited
• Constraints between entropy production and its fluctuations in nonthermal engines
• Learning the best thermoelectric nanoscale heat engines through evolving network topology
• Model-free optimization of power/efficiency tradeoffs in quantum thermal machines using reinforcement learning
• Bounds on fluctuations for ensembles of quantum thermal machines
• Signature of the transition to a bound state in thermoelectric quantum transport
• A quantum Stirling heat engine operating in finite time
• Superconductor-quantum dot hybrid coolers
• Non-linear Onsager relations for Gaussian quantum maps
• Quantum thermodynamics of two bosonic systems
• Exact steady state of the open XX-spin chain: entanglement and transport properties
• Thermally-induced spin polarization in a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Coherence-enhanced thermodynamic performance in a periodically-driven inelastic heat engine
• Bath-induced interactions and transient dynamics in open quantum systems at strong coupling: Effective Hamiltonian approach
• Rydberg ion flywheel for quantum work storage
• Transport and energetic properties of a ring of interacting spins coupled to heat baths
• Thermoelectricity in Quantum-Hall Corbino Structures
• Thermodynamic performance of a periodically driven harmonic oscillator correlated with the baths
• Non-Markovian N-spin chain quantum battery in thermal charging process
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Correlated quantum machines beyond the standard second law
• Gravitational Quantum Well as an Effective Quantum Heat Engine
• Mechanically Induced Thermal Breakdown in Magnetic Shuttle Structures
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Universal behaviour of Coulomb coupled Fermionic thermal diode
• Asymmetries of thermal processes in open quantum systems
• Scanning probe-induced thermoelectrics in a quantum point contact
• An exactly solvable model of calorimetric measurements
• Dicke superradiant enhancement of the heat current in circuit QED
• An ordered set of power-efficiency trade-offs
• Boosting energy transfer between quantum devices through spectrum engineering in the dissipative ultrastrong coupling regime
• A polaron theory of quantum thermal transistor in nonequilibrium three-level systems
• A review on Aharonov-Bohm quantum machines: Thermoelectric heat engines and diodes
• Thermoelectric properties of a quantum dot coupled to magnetic leads by Rashba spin-orbit interaction
• Three-terminal interface as a thermoelectric generator beyond Seebeck effect
• Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines
• Charge and heat transport through quantum dots with local and correlated-hopping interactions
• Diagnostics of quantum-gate coherences via end-point-measurement statistics
• Resonant thermal energy transfer to magnons in a ferromagnetic nanolayer
• Thermoelectric processes of quantum normal-superconductor interfaces
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Imaging the Thermalization of Hot Carriers After Thermionic Emission Over a Polytype Barrier
• Spin Seebeck effect of correlated magnetic molecules
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
• Waiting-times statistics in boundary driven free fermion chains
• Detailed study of nonlinear cooling with two-terminal configurations of topological edge states
• Transport and spectral properties of the XX$+$XXZ diode and stability to dephasing
• Thermoelectric signatures of order-parameter symmetries in iron-based superconducting tunnel junctions
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Coherent control of thermoelectric currents and noise in quantum thermocouples
• Quantum Carnot thermal machines re-examined: Definition of efficiency and the effects of strong coupling
• Quantum coherence effects on inelastic thermoelectric devices: From diodes to transistors
• Optimized Peltier cooling via an array of quantum dots with stair-like ground-state energy configuration
• Nonlocal thermoelectricity in quantum wires as a signature of Bogoliubov-Fermi points
• Stochastic thermodynamics of an electron-spin-resonance quantum dot system
• Role of electron-electron interaction in the Mpemba effect in quantum dots
• Fermionic one-body entanglement as a thermodynamic resource
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• A topologically protected quantum dynamo effect in a driven spin-boson model
• Nonresonant two-level transitions: Lessons from quantum thermodynamics
• Statistical correlations of currents flowing via proximized quantum dot
• Giant rectification in strongly-interacting driven tilted systems
• Thermoelectric transport across a tunnel contact between two charge Kondo circuits: beyond perturbation theory
• Heat, particle and chiral currents in a boundary driven bosonic ladders in presence of gauge fields
• Three qubits in less than three baths: Beyond two-body system-bath interactions in quantum refrigerators
• Single-photon pump by Cooper-pair splitting
• Revealing the fuel of a quantum continuous measurement-based refrigerator
• Time Reversal Symmetry for Classical, Nonrelativistic Quantum and Spin Systems in Presence of Magnetic Fields
• Heat and charge transport in interacting nanoconductors driven by time-modulated temperatures
• Efficiency and thermodynamic uncertainty relations of a dynamical quantum heat engine
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Microscopic contributions to the entropy production at all times: From nonequilibrium steady states to global thermalization
• Tunable Thermoelectric Superconducting Heat Pipe and Diode
• Thermodynamics of a phase-driven proximity Josephson junction
• Heat flow from a measurement apparatus monitoring a dissipative qubit
• Enhancing Thermoelectric Properties Through a Three-Terminal Benzene Molecule
• Thermoelectric performance of quantum dots embedded in an Aharonov-Bohm ring: a Pauli master equation approach
• Enhanced Efficiency at Maximum Power in a Fock-Darwin Model Quantum Dot Engine
• Scattering theory of thermal and bipolar thermoelectric diodes
• Charging a Dimerized Quantum XY Chain
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Thermoelectric response and entropy of fractional quantum Hall systems
• Effects of strong electron interactions and resonance scattering on power output of nano-devices
• Thermal junctions controlled with Aharonov-Bohm phases
• Universality and thermoelectric transport properties of quantum dot systems
• Reinforcement Learning Approach to Shortcuts between Thermodynamic States with Extra Constraints
• Coupled transport in a linear-stochastic Schrödinger Equation
• Design and characterization of a quantum heat pump in a driven quantum gas
• Current-induced forces in single-resonance systems
• Quantum bath augmented stochastic nonequilibrium atomistic simulations for molecular heat conduction
• Controlling thermodynamics of a quantum heat engine with modulated amplitude drivings
• Information geometry of transitions between quantum nonequilibrium steady states
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Four terminal quantum dot as an efficient rectifier of heat and charge currents
• Non-equilibrium quantum probing through linear response
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Phase-controlled heat modulation with Aharonov-Bohm interferometers
• Spin-orbit coupling effects over thermoelectric transport properties in quantum dots
• High-performance Andreev interferometer-based electronic coolers
• Optimal performance of voltage-probe quantum heat engines
• Quantum thermochemical engines
• Heat-charge separation in a hybrid superconducting quantum Hall setup
• Thermoelectric cooling properties of a quantum Hall Corbino device
• Absence of thermalization of free systems coupled to gapped interacting reservoirs
• Bipolar thermoelectric superconducting single-electron transistor
• A Numerical Method to Find the Optimal Thermodynamic Cycle in Microscopic Heat Engine
• Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
• Optimising finite-time quantum information engines using Pareto bounds
• Cyclic Superconducting Quantum Refrigerators Using Guided Fluxon Propagation
• Physical implementations of quantum absorption refrigerators
• Readout of quantum screening effects using a time-dependent probe
• Giant Thermoelectric Response of Fluxons in Superconductors
• Thermoelectric efficiency in multiterminal quantum thermal machines from steady-state density functional theory
• Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections
• Optimization of a class of heat engines with explicit solution
• Majorana Thermoelectrics and Refrigeration
• Photovoltaic efficiency at maximum power of a quantum dot molecule
• Heat-to-motion conversion for quantum active matter
• Graph theoretic analysis of three-terminal quantum dot thermocouples: Onsager relations and spin-thermoelectric effects
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Thermoelectric cooling of a finite reservoir coupled to a quantum dot
• Heat conductance oscillations in two weakly connected charge Kondo circuits
• Demon driven by geometric phase
• Autonomous Circular Heat Engine
• Transient effects in quantum refrigerators with finite environments
• Transport out of locally broken detailed balance
• Spin-chain based quantum thermal machines
• Thermometry in dual quantum dot set-up with staircase ground state configuration
• Thermal control across a chain of electronic nanocavities
• Irreversible thermodynamics of thermoelectric devices: From local framework to global description
• Localization in boundary-driven lattice models
• Nonequilibrium free energy and information flow of a double quantum-dot system with Coulomb coupling
• Reaching Van den Broeck limit in linear response and Whitney limit in nonlinear response in edge mode quantum thermoelectrics and refrigeration
• Contact geometry and quantum thermodynamics of nanoscale steady states
• Going beyond Landauer scattering theory to describe spatially-resolved non-local heating and cooling in quantum thermoelectrics
• Hybrid interacting quantum Hall thermal machine
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Transport signatures of inverted Andreev bands in topological Josephson junctions
• Quantum transport phenomena induced by time-dependent fields
• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Making the Virtual Real: Measurement-Powered Tunneling Engines
• Dynamics of micro and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Noise and Thermodynamic Uncertainty Relation in "Underwater" Molecular Junctions
• Heat current through an artificial Kondo impurity beyond linear response
• Work Fluctuations in Ergotropic Heat Engines
• Nonadiabatic Correction and Adiabatic Criteria of Noninteracting Quantum Dot Systems
• A non-local cryogenic thermometer based on Coulomb-coupled systems
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Geometrical optimization of pumping power under adiabatic parameter driving
• Fluctuation theorems with optical tweezers: theory and practice
• Onsager coefficients in a coupled-transport model displaying a condensation transition
• Parametric Study for Optimal Performance of Coulomb-Coupled Quantum Dots
• Current noise in quantum dot thermoelectric engines
• Quantum coherent control of linear and nonlinear thermoelectricity on graphene nanostructure heat engines
• Dissipative evolution of a two-level system through a geometry-based classical mapping
• Multistage Kondo effect in a multiterminal geometry: A modular quantum interferometer
• Energy exchange and fluctuations between a dissipative qubit and a monitor under continuous measurement and feedback
• Thermoelectric performance of nano junctions subjected to microwave driven spin-orbit coupling
• Multiple perfectly-transmitting states of a single-level at strong coupling
• Accurately heat flow distribution based on a triple quantum dot
• Bipolar thermoelectricity in S/I/NS and S/I/SN superconducting tunnel junctions
• Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory
• Thermoelectric energy conversion in molecular junctions out of equilibrium
• Enhanced Thermoelectricity in Nanowires with inhomogeneous Helical states
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• Wiedemann-Franz behavior at the Weyl points in compressively strained HgTe
• Universal energy fluctuations in inelastic scattering processes
• Coulomb-mediated single-electron heat transfer statistics across capacitively coupled silicon nanodots
• Noninvasive and nonadiabatic quantum Maxwell demon
• Thermodynamic and energetic constraints on transition probabilities of small-scale quantum systems
• Potential barriers are nearly-ideal quantum thermoelectrics at finite power output
• Current precision in interacting hybrid Normal-Superconducting systems
• Thermodynamic bound on current fluctuations in coherent conductors
• Irreversible Work Reduction by Disorder in Many-Body Quantum Systems
• Effects of correlated hopping on thermoelectric response of a quantum dot strongly coupled to ferromagnetic leads
• Unified trade-off optimization of quantum harmonic Otto engine and refrigerator
• Regimes and quantum bounds of nanoscale thermoelectrics with peaked transmission function
• Incoherent control of two-photon induced optical measurements in open quantum systems: quantum heat engine perspective
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Enhanced thermoelectric effects in a driven one-dimensional system
• Nonlinear heat transport in ferromagnetic-quantum dot-superconducting systems
• Overscreened Kondo problem with large spin and large number of orbital channels: Two distinct semiclassical limits in quantum transport observables
• Large Tunable Thermoelectric Effects in Superconducting Spin Valves with Commercially Available Materials
• Dense dipole-dipole-coupled two-level systems in a thermal bath
• Quantum thermophoresis
• Power efficiency of Hall-like devices: comparison between reciprocal and anti-reciprocal Onsager relations
• Thermodynamics of photoelectric devices
• Ergotropic advantage in a measurement-fueled quantum heat engine
• Periodically-driven quantum thermal machines from warming up to limit cycle
• Quantum vs Classical Thermal Transport at Low Temperatures
• Precision of an autonomous demon exploiting nonthermal resources and information
• Weak-Memory Dynamics in Discrete Time
• Open harmonic chain without secular approximation
• The thermoelectric conversion efficiency problem: Insights from the electron gas thermodynamics close to a phase transition
• Peltier cooling in Corbino-geometry quantum Hall systems
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• Heating Dynamics of Mesoscopic Electron Baths at High Magnetic Field
• Signatures of the Correlated-Hopping Interaction in Non-Linear Transport through a Quantum Dot
• Thermoelectric coefficients and the figure of merit for large open quantum dots
• Eigenstate thermalization and ensemble equivalence in few-body fermionic systems
• Photonic heat transport from weak to strong coupling
• Thermoelectric effects in tunneling of spin-polarized electrons in a molecular transistor
• ${\Delta }_T$ Noise in Mesoscopic Hybrid Junctions: Influence of Barrier Strength and Thermal Bias
• Dephasing-enhanced performance in quasiperiodic thermal machines
• Quantum thermodynamics under continuous monitoring: a general framework
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model
• Theory of Seebeck ratchet in noncentrosymmetric electron-phonon coupled system
• Dephasing enhanced transport in boundary-driven quasiperiodic chains
• Non-linear regime for enhanced performance of an Aharonov-Bohm heat engine
• Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
• Spontaneous symmetry breaking-induced thermospin effect in superconducting tunnel junctions
• Extrinsic thermoelectric response of coherent conductors
• Thermopower in a boundary driven bosonic ladder in the presence of a gauge field
• Dissipation and quantum noise in chiral circuitry
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport