Work and Efficiency of Quantum Otto Cycles in Power Law Trapping Potentials
arXiv:1404.3832 · doi:10.1103/PhysRevE.90.012145
Abstract
We study the performance of a quantum Otto cycle driven by trapping potentials of the form . This family of potentials possesses a simple scaling property which allows for analytical insights into the efficiency and work output of the cycle. We show that, while both the mean work output and the efficiency of two Otto cycles in different trapping potentials can be made equal, the work probability distribution will still be strongly affected by the difference in structure of the energy levels. Lastly, we perform a comparison of quantum Otto cycles in various physically relevant scenarios and find that in certain instances, the efficiency of the cycle is greater when using potentials with larger values of , while, in other cases, with harmonic traps.
arXiv comment6 pages, 4 figures
References in corpus (27)
- A nonequilibrium equality for free energy differences
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Quantum Thermodynamic Cycles and quantum heat engines
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- A nano heat engine beyond the Carnot limit
- Shortcuts to adiabaticity by counter-diabatic driving
- Single ion heat engine with maximum efficiency at maximum power
- High-fidelity quantum driving
- Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
- Irreversible Performance of a Quantum Harmonic Heat Engine
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array
- Controlling fast transport of cold trapped ions
- Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
- Shortcut to adiabaticity for an interacting Bose-Einstein condensate
- Fast optimal transition between two equilibrium states
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
- Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
- The Quantum Refrigerator: The quest for absolute zero
- Quantum work statistics of linear and nonlinear parametric oscillators
- Statistics of work performed on a forced quantum oscillator
- Validity of nonequilibrium work relations for the rapidly expanding quantum piston
- Symmetries of cyclic work distributions for an isolated harmonic oscillator
Cited by in corpus (27)
- Quantum Thermodynamics
- Reconciliation of quantum local master equations with thermodynamics
- Strongly coupled quantum heat machines
- MBL-mobile: Quantum engine based on many-body localization
- Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
- Single-atom heat machines enabled by energy quantization
- Quantum statistics and the performance of engine cycles
- Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
- Superadiabatic quantum heat engine with a multiferroic working medium
- Quantum and classical Otto engine for a 2-D material: the case of a graphene quantum dot
- Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
- Finite-time quantum Otto engine: Surpassing the quasi-static efficiency due to friction
- Construction and Optimization of the Quantum Analog of Carnot Cycles
- Thermodynamic engine with a quantum degenerate working fluid
- Cooperative efficiency boost for quantum heat engines
- Quantum work distribution for a driven diatomic molecule
- Quantum features and signatures of quantum-thermal machines
- Merits and Qualms of Work Fluctuations in Classical Fluctuation Theorems
- Computing characteristic functions of quantum work in phase space
- Principle of Minimal Work Fluctuations
- Relation between fluctuations and efficiency at maximum power for small heat engines
- Quantum many-body thermal machines enabled by atom-atom correlations
- Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
- Innovative Designs and Insights into Quantum Thermal Machines
- Enhancing Quantum Otto Engine Performance in Generalized External Potential on Bose-Einstein Condensation Regime
- Quantum heat machines enabled by twisted geometry
- Irreversible Work Reduction by Disorder in Many-Body Quantum Systems