Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility

Abstract

We propose a quantum Otto cycle in a two spin-$1/2$ anisotropic XY model in a transverse external magnetic field. We first characterize the parameter regime that the working medium operates as an engine in the adiabatic regime. Then, we consider finite-time behavior of the engine with and without utilizing a shortcut to adiabaticity (STA) technique. STA schemes guarantee that the dynamics of a system follows the adiabatic path, at the expense of introducing an external control. We compare the performance of the non-adiabatic and STA engines for a fixed adiabatic efficiency but different parameters of the working medium. We observe that, for certain parameter regimes, the irreversibility, as measured by the efficiency lags, due to finite-time driving is so low that non-adiabatic engine performs quite close to the adiabatic engine, leaving the STA engine only marginally better than the non-adiabatic one. This suggests that by designing the working medium Hamiltonian one may spare the difficulty of dealing with an external control protocol.

arXiv comment10 pages, 5 figures. An extension on the previous work arXiv:1812.00969. Comments are always welcome. v2: fixed some typos and updated the reference list. Close to published version

References in corpus (48)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum Thermodynamic Cycles and quantum heat engines
• A single-atom heat engine
• Shortcuts to adiabaticity by counter-diabatic driving
• Single ion heat engine with maximum efficiency at maximum power
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• Irreversible entropy production, from quantum to classical
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Experimental characterization of a spin quantum heat engine
• The quantum harmonic Otto cycle
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• More bang for your buck: Towards super-adiabatic quantum engines
• Classical and quantum shortcuts to adiabaticity for scale-invariant driving
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Generalized Clausius inequality for nonequilibrium quantum processes
• Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
• The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
• Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
• Irreversible work and inner friction in quantum thermodynamic processes
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Efficiency of a quantum Otto heat engine operating under a reservoir at effective negative temperatures
• Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
• Transitionless quantum driving for spin systems
• Quantum Lubrication: Suppression of Friction in a First Principle Four Stroke Heat Engine
• Quantum correlated heat engine with nonlinear spin-spin interactions
• Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths
• Cost of counterdiabatic driving and work output
• Spin quantum heat engines with shortcuts to adiabaticity
• Performance of superadiabatic quantum machines
• Performance of shortcut-to-adiabaticity quantum engines
• Shortcut-to-adiabaticity Otto engine: A twist to finite-time thermodynamics
• Energy consumption for Shortcuts To Adiabaticity
• Quantum Otto cycle with inner friction: finite-time and disorder effects
• A quantum heat engine with coupled superconducting resonators
• 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
• Energetic cost of quantum control protocols
• Reinforcement learning approach to non-equilibrium quantum thermodynamics
• Quantum finite-time thermodynamics: insight from a single qubit engine
• Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
• Lipkin-Meshkov-Glick Model in a Quantum Otto Cycle
• Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
• Irreversible Work and Internal Friction in a Quantum Otto Cycle of a Single Arbitrary Spin
• Non-thermal quantum engine in transmon qubits
• Not quite free shortcuts to adiabaticity
• Quantum Thermodynamics and Quantum Coherence Engines
• Friction-free quantum machines
• Energy optimization of two-level quantum Otto machines

Cited by in corpus (5)

• Enhancing the performance of coupled quantum Otto thermal machines without entanglement and quantum correlations
• A Quantum Otto Engine with Shortcuts to Thermalization and Adiabaticity
• Nonadiabatic coupled-qubit Otto cycle with bidirectional operation and efficiency gains
• Robustness of controlled Hamiltonian approaches to unitary quantum gates
• Unified trade-off optimization of quantum harmonic Otto engine and refrigerator