Quantum heat engines with complex working media, complete Otto cycles and heuristics

Abstract

Quantum thermal machines make use of non-classical thermodynamic resources, one of which is interactions between elements of the quantum working medium. In this paper, we examine the performance of a quasi-static quantum Otto engine based on two spins of arbitrary magnitudes subject to an external magnetic field and coupled via an isotropic Heisenberg exchange interaction. It has been earlier shown that the said interaction provides an enhancement of cycle efficiency for two spin-1/2 particles, with an upper bound which is tighter than the Carnot efficiency. However, the necessary conditions governing engine performance and the relevant upper bound for efficiency are unknown for the general case of arbitrary spin magnitudes. Analyzing extreme-case scenarios, we formulate heuristics to infer the necessary conditions for an engine with uncoupled as well as coupled spins model. These conditions lead us to a connection between performance of quantum heat engines and the notion of majorization. Further, the study of complete Otto cycles inherent in the average cycle also yields interesting insights into the average performance.

arXiv commentRevTex 4-2, 26 pages, 7 figures; Comments are welcome

References in corpus (93)

• The role of quantum information in thermodynamics --- a topical review
• Quantum Thermodynamics
• Quantum Thermodynamic Cycles and quantum heat engines
• Continuous variable quantum information: Gaussian states and beyond
• A single-atom heat engine
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• A nano heat engine beyond the Carnot limit
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• The germanium quantum information route
• Experimental characterization of a spin quantum heat engine
• Non-Markovian quantum processes: complete framework and efficient characterisation
• A thermoelectric heat engine with ultracold atoms
• More bang for your buck: Towards super-adiabatic quantum engines
• The power of a critical heat engine
• Operational Markov condition for quantum processes
• Three-Terminal Energy Harvester with Coupled Quantum Dots
• The Quantum Absorption Refrigerator
• Quantum absorption refrigerator with trapped ions
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Tunable photonic heat transport in a quantum heat valve
• A spin heat engine coupled to a harmonic-oscillator flywheel
• Performance bound for quantum absorption refrigerators
• An endoreversible quantum heat engine driven by atomic collisions
• Coherence effects in the performance of the quantum Otto heat engine
• Minimal universal quantum heat machine
• Thermodynamics of quantum systems under dynamical control
• Efficiency of a quantum Otto heat engine operating under a reservoir at effective negative temperatures
• Work extremum principle: Structure and function of quantum heat engines
• A Coupled Quantum Otto Cycle
• Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
• Optimal cycles for low-dissipation heat engines
• Minimal Self-Contained Quantum Refrigeration Machine Based on Four Quantum Dots
• Strong Coupling Thermodynamics of Open Quantum Systems
• Thermodynamics of non-Markovian reservoirs and heat engines
• Efficiency of harmonic quantum Otto engines at maximal power
• Analog of a quantum heat engine using a single-spin qubit
• Quantum Performance of Thermal Machines over Many Cycles
• Specific heat anomalies of open quantum systems
• Quantum correlated heat engine with nonlinear spin-spin interactions
• Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths
• Spin quantum heat engines with shortcuts to adiabaticity
• Quantum bath refrigeration towards absolute zero: unattainability principle challenged
• Experimental realization of a quantum dot energy harvester
• MBL-mobile: Quantum engine based on many-body localization
• Autonomous Rotor Heat Engine
• Geometric optimisation of quantum thermodynamic processes
• Single atom energy-conversion device with a quantum load
• Thermoelectric properties of an interacting quantum dot-based heat engine
• Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
• Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
• Stochastically driven single level quantum dot: a nano-scale finite-time thermodynamic machine and its various operational modes
• Quantum Otto cycle with inner friction: finite-time and disorder effects
• Single-atom heat machines enabled by energy quantization
• Quantum Otto engine with a spin $1/2$ coupled to an arbitrary spin
• Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
• Experimental verification of fluctuation relations with a quantum computer
• Low-dissipation Carnot-like heat engines at maximum efficient power
• Quantum Brayton cycle with coupled systems as working substance
• Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme
• Shortcut-to-adiabaticity quantum Otto refrigerator
• Employing Non-Markovian effects to improve the performance of a quantum Otto refrigerator
• Quantum Otto engine with exchange coupling in the presence of level degeneracy
• A quantum enhanced finite-time Otto cycle
• Quantum statistics and the performance of engine cycles
• Measurement-induced operation of two-ion quantum heat machines
• Experimental characterization of the energetics of quantum logic gates
• Apparent temperature: demystifying the relation between quantum coherence, correlations, and heat flows
• Power fluctuations in a finite-time quantum Carnot engine
• Energetic and entropic effects of bath-induced coherences
• Entangled quantum Otto heat engines based on two-spin systems with the Dzyaloshinski-Moriya interaction
• Quantum and classical Otto engine for a 2-D material: the case of a graphene quantum dot
• Non-thermal quantum engine in transmon qubits
• Quantum Otto cycle efficiency on coupled qudits
• Finite-time performance of a single-ion quantum Otto engine
• A quantum Otto engine with finite heat baths: energy, correlations, and degradation
• Critical-point behavior of a measurement-based quantum heat engine
• Measurement Based Quantum Heat Engine with Coupled Working Medium
• Non-Markovian effect on quantum Otto engine: -Role of system--reservoir interaction-
• Finite-time quantum Otto engine: Surpassing the quasi-static efficiency due to friction
• Optimal Performance of a Three-level Quantum Refrigerator
• Two-level quantum Otto heat engine operating with unit efficiency far from the quasi-static regime under a squeezed reservoir
• Cooperative efficiency boost for quantum heat engines
• Entanglement and Confinement in Coupled Quantum Systems
• Exotic properties and optimal control of quantum heat engine
• Efficiency gain and bidirectional operation of quantum engines with decoupled internal levels
• Unruh Quantum Otto heat engine with level degeneracy
• Performance of quantum heat engines under the influence of long-range interactions
• Power Fluctuations of An Irreversible Quantum Otto Engine
• Quantum mechanical bound for efficiency of quantum Otto heat engine
• Holographic Heat Engines as Quantum Heat Engines
• Hamiltonian quantum computing with superconducting qubits
• Maximally effcient quantum thermal machines fuelled by nonequilibrium steady states
• Quantum entanglement and transport in non-equilibrium interacting double-dot setup: The curious role of degeneracy

Cited by in corpus (7)

• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Quantum Stirling engine based on dinuclear metal complexes
• Numerically "exact" simulations of a quantum Carnot cycle: Analysis using thermodynamic work diagrams
• Enhancing the performance of coupled quantum Otto thermal machines without entanglement and quantum correlations
• A quantum Stirling heat engine operating in finite time
• Spins-based Quantum Otto Engines and Majorisation
• The laws of thermodynamics for quantum dissipative systems: A quasi-equilibrium Helmholtz energy approach