Thermodynamics and steady state of quantum motors and pumps far from equilibrium

Abstract

In this article, we briefly review dynamical and thermodynamical aspects of different forms of quantum motors and quantum pumps. We then extend previous results to provide new theoretical tools for a systematic study of those phenomena at far-from-equilibrium conditions. We mainly focus on two key topics: (1) The steady-state regime of quantum motors and pumps, paying particular attention to the role of higher-order terms in the nonadiabatic expansion of the current-induced forces. (2) The thermodynamical properties of such systems, emphasizing systematic ways of studying the relationship between different energy fluxes (charge and heat currents, and mechanical power) passing through the system when beyond-first-order expansions are required. We derive a general order-by-order scheme based on energy conservation to rationalize how every order of the expansion of one form of energy flux is connected with the others. We use this approach to give a physical interpretation of the leading terms of the expansion. Finally, we illustrate the above-discussed topics in a double quantum dot within the Coulomb-blockade regime and capacitively coupled to a mechanical rotor. We find many exciting features of this system for arbitrary nonequilibrium conditions: A definite parity of the expansion coefficients with respect to the voltage or temperature biases; negative friction coefficients; and the fact that, under fixed parameters, the device can exhibit multiple steady states where it may operate as a quantum motor or as a quantum pump depending on the initial conditions.

24 pages, 6 figures

References in corpus (30)

• Flat Bands in Slightly Twisted Bilayer Graphene
• A quantum-dot heat engine operating close to the thermodynamic efficiency limits
• Strained graphene: tight-binding and density functional calculations
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Scattering theory of current-induced forces in mesoscopic systems
• Thermoelectric efficiency of three-terminal quantum thermal machines
• Brownian motors in micro-scale domain: Enhancement of efficiency by noise
• Self-consistent theory of molecular switching
• Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
• Periodic energy transport and entropy production in quantum electronics
• Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments
• Optimal probabilistic work extraction beyond the free energy difference with a single-electron device
• Current-induced forces and hot-spots in biased nano-junctions
• Autonomous thermal machine for amplification and control of energetic coherence
• Charge and spin pumping through a double quantum dot
• Current-induced forces for nonadiabatic molecular dynamics
• Molecular junctions and molecular motors: Including Coulomb repulsion in electronic friction using nonequilibrium Green's functions
• Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors
• Scattering approach to backaction in coherent nanoelectromechanical systems
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Nonlinear chiral refrigerators
• An interacting adiabatic quantum motor
• Enhanced performance of a quantum-dot-based nanomotor due to Coulomb interactions
• Attractive and driven interaction in quantum dots: mechanisms for geometric pumping
• Adiabatic pumping through an interacting quantum dot with spin-orbit coupling
• Nonequilibrium current-induced forces caused by quantum localization: Anderson Adiabatic Quantum Motors
• Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving
• Geometric rectification for nanoscale vibrational energy harvesting

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• Bound on efficiency of heat engine from uncertainty relation viewpoint
• Geometric energy transport and refrigeration with driven quantum dots
• Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
• Current-induced forces in single-resonance systems
• A dynamical model for Brownian molecular motors driven by inelastic electron tunneling
• Kick-induced rectified current in symmetric nano-electromechanical shuttle
• Hysteresis and effective reciprocity breaking due to current-induced forces
• Coupling-energy driven pumping through quantum dots: Role of coherences