A quantum Otto engine with finite heat baths: energy, correlations, and degradation
arXiv:1708.06363 · doi:10.1088/1367-2630/aaba02
Abstract
We study a driven harmonic oscillator operating an Otto cycle between two thermal baths of finite size. By making extensive use of the tools of Gaussian quantum mechanics, we directly simulate the dynamics of the engine as a whole, without the need to make any approximations. This allows us to understand the non-equilibrium thermodynamics of the engine not only from the perspective of the working medium, but also as it is seen from the thermal baths' standpoint. For sufficiently large baths, our engine is capable of running a number of ideal cycles, delivering finite power while operating very close to maximal efficiency. Thereafter, having traversed the baths, the perturbations created by the interaction abruptly deteriorate the engine's performance. We additionally study the correlations generated in the system, and relate the buildup of working medium-baths and bath-bath correlations to the degradation of the engine's performance over the course of many cycles.
16 pages, 8 figures. All code is available at https://zenodo.org/record/847182 . V4: Published version, simplified figures, one figure and one appendix added, changed author order. See also related work by Reid et al at arXiv:1708.07435
References in corpus (15)
- Quantum Thermodynamic Cycles and quantum heat engines
- Entanglement in continuous variable systems: Recent advances and current perspectives
- The quantum harmonic Otto cycle
- Performance bound for quantum absorption refrigerators
- Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
- Performance of a quantum heat engine at strong reservoir coupling
- Irreversible work and inner friction in quantum thermodynamic processes
- Work extremum principle: Structure and function of quantum heat engines
- Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
- Strong coupling corrections in quantum thermodynamics
- Passivity and practical work extraction using Gaussian operations
- New analytic solution for the heat flow through a general harmonic network
- Thermalization in open classical systems with finite heat baths
- A self-contained quantum harmonic engine
- Finite-bath corrections to the second law of thermodynamics
Cited by in corpus (29)
- Quantum thermal machines and batteries
- Open quantum system dynamics and the mean force Gibbs state
- Quantum Engines and Refrigerators
- Charging assisted by thermalization
- A quantum enhanced finite-time Otto cycle
- Clausius Inequality for Finite Baths Reveals Universal Efficiency Improvements
- Suppressing coherence effects in quantum-measurement based engines
- Measurement Based Quantum Heat Engine with Coupled Working Medium
- Unifying paradigms of quantum refrigeration: fundamental limits of cooling and associated work costs
- Effect of finite-size heat source's heat capacity on the efficiency of heat engine
- Cyclic quantum engines enhanced by strong bath coupling
- Efficiency of a cyclic quantum heat engine with finite-size baths
- Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle
- Unruh Quantum Otto heat engine with level degeneracy
- A Quantum Otto Engine with Shortcuts to Thermalization and Adiabaticity
- Thermodynamics of a minimal algorithmic cooling refrigerator
- Quantum heat engines with complex working media, complete Otto cycles and heuristics
- Correlated quantum machines beyond the standard second law
- Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues
- Topological quantum thermometry
- Optimal performance of a three stroke heat engine in the microscopic regime
- Entropy production and correlation spreading in the interaction between particle detector and thermal baths
- Thermoelectric cooling of a finite reservoir coupled to a quantum dot
- Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
- Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
- Finite-time performance of a cyclic 2d quantum Ising heat engine
- Thermalization of finite complexity and its application to heat bath algorithmic cooling
- Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics
- Thermodynamic bound on quantum state discrimination