A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
arXiv:2412.15196 · doi:10.1103/ct9q-xff8
Abstract
With the development of any quantum technology comes a need for precise control of quantum systems. Here, we evaluate the impact of control noise on a quantum Otto cycle. Whilst it is postulated that noiseless quantum engines can approach maximal Otto efficiency in finite times, the existence of white noise on the controls is shown to negatively affect average engine performance. Two methods of quantum enhancement, counterdiabatic driving and quantum lubrication, are implemented and found to improve the performance of the noisy cycle only in specified parameter regimes. To gain insight into performance fluctuations, projective energy measurements are used to construct a noise-averaged probability distribution without assuming full thermalisation or adiabaticity. From this, the variances in thermodynamic currents are observed to increase as average power and efficiency improve, and are also shown to be consistent with known bounds from thermodynamic uncertainty relations. Lastly, by comparing the average functioning of the unmonitored engine to a projectively-measured engine cycle, the role of coherence in work extraction for this quantum engine model is investigated.
arXiv comment12 pages, 6 figures
References in corpus (51)
- A nonequilibrium equality for free energy differences
- Introduction to Quantum Noise, Measurement and Amplification
- Coherent Quantum Dynamics of a Superconducting Flux Qubit
- Shortcuts to adiabaticity: concepts, methods, and applications
- Quantum heat engines and refrigerators: Continuous devices
- Experimental demonstration of quantum effects in the operation of microscopic heat engines
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Irreversible entropy production, from quantum to classical
- Experimental characterization of a spin quantum heat engine
- The quantum harmonic Otto cycle
- Irreversible Performance of a Quantum Harmonic Heat Engine
- Universal trade-off relation between power and efficiency for heat engines
- Performance of discrete heat engines and heat pumps in finite time
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Markovian master equations for quantum thermal machines: local vs global approach
- Thermodynamic uncertainty relations from exchange fluctuation theorems
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Fast adiabatic qubit gates using only control
- Performance of a quantum heat engine at strong reservoir coupling
- Irreversible work and inner friction in quantum thermodynamic processes
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Otto refrigerator based on a superconducting qubit: classical and quantum performance
- A Discrete Four Stroke Quantum Heat Engine Exploring the Origin of Friction
- Quantum Heat Current under Non-perturbative and Non-Markovian Conditions: Applications to Heat Machines
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Work fluctuations in slow processes: quantum signatures and optimal control
- Quantum Lubrication: Suppression of Friction in a First Principle Four Stroke Heat Engine
- Nonequilibrium potential and fluctuation theorems for quantum maps
- Quantum Engines and Refrigerators
- The second law of quantum thermodynamics as an equality
- Nonadiabatic single-qubit quantum Otto engine
- Universal quantum computation with two-level trapped ions
- Detuning-Dependent Mollow Triplet of a Coherently-Driven Single Quantum Dot
- Shortcut-to-adiabaticity Otto engine: A twist to finite-time thermodynamics
- Efficiency fluctuations of a quantum Otto engine
- Enhancement of quantum heat engine by encircling a Liouvillian exceptional point
- Shortcut-to-adiabaticity quantum Otto refrigerator
- Noise Resistant Quantum Control Using Dynamical Invariants
- On the Interpretation of Stratonovich Calculus
- Quantum limit to nonequilibrium heat-engine performance imposed by strong system-reservoir coupling
- Bounds on fluctuations for finite-time quantum Otto cycle
- Quantum heat engines: limit cycles and exceptional points
- Quantum Otto engine with quantum correlations
- A healthier semi-classical dynamics
- Jarzynski equality for conditional stochastic work
- Experimental Realization of Self-Contained Quantum Refrigeration
- Generalised linear response theory for the full quantum work statistics
- Interacting Two-Level Systems as a Source of 1/f Charge Noise in Quantum Dot Qubits
- Quantum Thermodynamic Uncertainty Relations, Generalized Current Fluctuations and Nonequilibrium Fluctuation-Dissipation Inequalities
- Non-Markovian Quantum Heat Statistics with the Reaction Coordinate Mapping