Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry

Abstract

Starting with Carnot engine, the ideal efficiency of a heat engine has been associated with quasi-static transformations and vanishingly small output power. Here, we exactly calculate the thermodynamic properties of a isothermal heat engine, in which the working medium is a periodically driven underdamped harmonic oscillator, focusing instead on the opposite, anti-adiabatic limit, where the period of a cycle is the fastest time scale in the problem. We show that in that limit it is possible to approach the ideal energy conversion efficiency $\eta =1$, with finite output power and vanishingly small relative power fluctuations. The simultaneous realization of all the three desiderata of a heat engine is possible thanks to the breaking of time-reversal symmetry. We also show that non-Markovian dynamics can further improve the power-efficiency trade-off.

References in corpus (57)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• A Quantum Engineer's Guide to Superconducting Qubits
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Thermodynamic uncertainty relation for biomolecular processes
• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Quantum Thermodynamics
• Dissipation bounds all steady-state current fluctuations
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• Thermoelectric energy harvesting with quantum dots
• Most efficient quantum thermoelectric at finite power output
• The power of a critical heat engine
• Universal trade-off relation between power and efficiency for heat engines
• Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Fluctuation theorem uncertainty relation
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Quantum Supremacy of Many-Particle Thermal Machines
• Cycling tames power fluctuations near optimum efficiency
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Unified thermodynamic uncertainty relations in linear response
• On the validity of the thermodynamic uncertainty relation in quantum systems
• Thermodynamics of quantum systems under dynamical control
• Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
• Unifying Thermodynamic Uncertainty Relations
• Thermodynamic Geometry of Microscopic Heat Engines
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Coherence-enhanced constancy of a quantum thermoelectric generator
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Thermodynamic uncertainty relations including measurement and feedback
• Optimal performance of periodically driven, stochastic heat engines under limited control
• Geometric properties of adiabatic quantum thermal machines
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Brownian duet: A novel tale of thermodynamic efficiency
• Out-of-equilibrium operation of a quantum heat engine: The cost of thermal coupling control
• Phase transition in protocols minimizing work fluctuations
• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• A non-equilibrium quantum many-body Rydberg atom engine
• Thermodynamic uncertainty relations under arbitrary control protocols
• Carnot efficiency at divergent power output
• Work and power fluctuations in a critical heat engine
• Efficiency versus Speed in Quantum Heat Engines: Rigorous Constraint from Lieb-Robinson Bound
• Carnot efficiency is reachable in an irreversible process
• Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine
• Diverging, but negligible power at Carnot efficiency: theory and experiment
• Optimal work-to-work conversion of a nonlinear quantum brownian duet
• Stochastic and Quantum Thermodynamics of Driven RLC Networks
• Coherent Josephson thermodynamic cycles
• The underdamped Brownian duet and stochastic linear irreversible thermodynamics
• Attainability of Carnot Efficiency with Autonomous Engines
• Cooperative efficiency boost for quantum heat engines
• Engines with ideal efficiency and nonzero power for sublinear transport laws
• Efficiency at the maximum power of the power law dissipative Carnot-like Heat engines with non-adiabatic dissipation
• Heat transport in overdamped quantum systems

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• Correlated quantum machines beyond the standard second law
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