Periodically-driven quantum thermal machines from warming up to limit cycle

Abstract

Theoretical treatments of periodically-driven quantum thermal machines (PD-QTMs) are largely focused on the limit-cycle stage of operation characterized by a periodic state of the system. Yet, this regime is not immediately accessible for experimental verification. Here, we present a general thermodynamic framework that can handle the performance of PD-QTMs both before and during the limit-cycle stage of operation. It is achieved by observing that periodicity may break down at the ensemble average level, even in the limit-cycle phase. With this observation, and using conventional thermodynamic expressions for work and heat, we find that a complete description of the first law of thermodynamics for PD-QTMs requires a new contribution, which vanishes only in the limit-cycle phase under rather weak system-bath couplings. Significantly, this contribution is substantial at strong couplings even at limit cycle, thus largely affecting the behavior of the thermodynamic efficiency. We demonstrate our framework by simulating a quantum Otto engine building upon a driven resonant level model. Our results provide new insights towards a complete description of PD-QTMs, from turn-on to the limit-cycle stage and, particularly, shed light on the development of quantum thermodynamics at strong coupling.

submitted. Comments and suggestions are highly welcome

References in corpus (16)

• Single ion heat engine with maximum efficiency at maximum power
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Performance of a quantum heat engine at strong reservoir coupling
• An all-optical nanomechanical heat engine
• Nonadiabatic single-qubit quantum Otto engine
• Brownian duet: A novel tale of thermodynamic efficiency
• Quantum Otto cycle with inner friction: finite-time and disorder effects
• Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
• Non-Markovian effect on quantum Otto engine: -Role of system--reservoir interaction-
• Autonomous implementation of thermodynamic cycles at the nanoscale
• Kinetics and thermodynamics of a driven open quantum system
• Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
• Green's functions perspective on nonequilibrium thermodynamics of open quantum systems strongly coupled to baths
• Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry
• Entropy and information flow in quantum systems strongly coupled to baths
• Sharp negative differential resistance from vibrational mode softening in molecular junctions