Optimal work-to-work conversion of a nonlinear quantum brownian duet

Abstract

Performances of work-to-work conversion are studied for a dissipative nonlinear quantum system with two isochromatic phase-shifted drives. It is shown that for weak Ohmic damping simultaneous maximization of efficiency with finite power yield and low power fluctuations can be achieved. Optimal performances of these three quantities are accompanied by a shortfall of the trade-off bound recently introduced for classical thermal machines. This bound can be undercut down to zero for sufficiently low temperature and weak dissipation, where the non-Markovian quantum nature dominates. Analytic results are given for linear thermodynamics. These general features can persist in the nonlinear driving regime near to a maximum of the power yield and a minimum of the power fluctuations. This broadens the scope to a new operation field beyond linear response.

8 pages, 3 figures

References in corpus (46)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Thermodynamic uncertainty relation for biomolecular processes
• Quantum information processing with superconducting circuits: a review
• Quantum Thermodynamics
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Efficiency at maximum power of low dissipation Carnot engines
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• 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
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
• Quantum Refrigerator and the III-law of Thermodynamics
• Cycling tames power fluctuations near optimum efficiency
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Slow dynamics and thermodynamics of open quantum systems
• On the validity of the thermodynamic uncertainty relation in quantum systems
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
• Dynamical energy transfer in ac driven quantum systems
• Energy exchange in driven open quantum systems at strong coupling
• Coherence-enhanced constancy of a quantum thermoelectric generator
• Bounds on current fluctuations in periodically driven systems
• Power-efficiency-dissipation relations in linear thermodynamics
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Minimal excitations in the fractional quantum Hall regime
• Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
• Brownian duet: A novel tale of thermodynamic efficiency
• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Phase transition in protocols minimizing work fluctuations
• Maximum efficiency of steady-state heat engines at arbitrary power
• A Josephson frequency for fractionally charged anyons
• Optimal probabilistic work extraction beyond the free energy difference with a single-electron device
• Carnot efficiency at divergent power output
• Work and power fluctuations in a critical heat engine
• Crystallization of Levitons in the fractional quantum Hall regime
• Optimal operating protocol to achieve efficiency at maximum power of heat engines
• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Thermodynamic bound on heat to power conversion
• Fundamental relation between entropy production and heat current
• The underdamped Brownian duet and stochastic linear irreversible thermodynamics
• Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency
• Effective description of tunneling in a time-dependent potential with applications to voltage switching in Josephson junctions
• Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving

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