Thermodynamic control -- an old paradigm with new applications

Abstract

Tremendous research efforts have been invested in exploring and designing so-called shortcuts to adiabaticity. These are finite-time processes that produce the same final states that would result from infinitely slow driving. Most of these techniques rely on auxiliary fields and quantum control techniques, which makes them rather costly to implement. In this Perspective we outline an alternative paradigm for optimal control that has proven powerful in a wide variety of situations ranging from heat engines over chemical reactions to quantum dynamics -- thermodynamic control. Focusing on only a few, selected milestones we seek to provide a pedagogical entry point into this powerful and versatile framework.

arXiv comment7 pages, 1 figure; Short review paper intended as Perspective in EPL (Europhys. Lett)

References in corpus (42)

• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• Shortcuts to adiabaticity: concepts, methods, and applications
• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation bounds all steady-state current fluctuations
• Measuring thermodynamic length
• Optimal finite-time processes in stochastic thermodynamics
• Thermodynamic metrics and optimal paths
• Generalized Clausius inequality for nonequilibrium quantum processes
• Optimal protocols and optimal transport in stochastic thermodynamics
• Nonequilibrium entropy production for open quantum systems
• Thermodynamics of precision in quantum non equilibrium steady states
• Engineered swift equilibration of a Brownian particle
• The geometry of thermodynamic control
• Optimal cycles for low-dissipation heat engines
• Thermodynamic Geometry of Microscopic Heat Engines
• Thermodynamic length in open quantum systems
• Optimal finite-time erasure of a classical bit
• Shortcut to Equilibration of an Open Quantum System
• Optimal driving of isothermal processes close to equilibrium
• Shortcuts to isothermality and nonequilibrium work relations
• A geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems
• Dynamic Riemannian Geometry of the Ising Model
• Shortcuts to adiabaticity using flow fields
• Comparison of work fluctuation relations
• Optimal Control of Overdamped Systems
• Shortcuts to adiabaticity from linear response theory
• Near-optimal protocols in complex nonequilibrium transformations
• Thermodynamic geometry of minimum-dissipation driven barrier crossing
• Thermodynamic length for far from equilibrium quantum systems
• Optimal protocols for slowly-driven quantum processes
• Minimal dissipation in processes far from equilibrium
• Optimal control of transitions between nonequilibrium steady states
• Fast equilibrium switch of a micro mechanical oscillator
• Kibble-Zurek scaling of the irreversible entropy production
• Nonequilibrium thermodynamics of erasure with superconducting flux logic
• Degenerate optimal paths in thermally isolated systems
• Geometrical bounds on irreversibility in open quantum systems
• Compatibility of linear-response theory with the Second Law of Thermodynamics and the emergence of negative entropy production rates
• Optimal Control of Rotary Motors
• Optimal discrete control: minimizing dissipation in discretely driven nonequilibrium systems
• Stochastic control in microscopic nonequilibrium systems
• Optimal control of protein copy number

Cited by in corpus (47)

• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Geometric optimisation of quantum thermodynamic processes
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Action quantum speed limits
• Optimal Control in Stochastic Thermodynamics
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Energetic cost of Hamiltonian quantum gates
• Active matter under control: Insights from response theory
• Geometry of work fluctuations versus efficiency in microscopic thermal machines
• Collective advantages in finite-time thermodynamics
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Skewed Thermodynamic Geometry and Optimal Free Energy Estimation
• Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
• Limited-control optimal protocols arbitrarily far from equilibrium
• Finite-time Landauer principle beyond weak coupling
• Many-body enhancement in a spin-chain quantum heat engine
• Optimality of non-conservative driving for finite-time processes with discrete states
• Shortcuts in stochastic systems and control of biophysical processes
• Negative entropy production rates in Drude-Sommerfeld metals
• Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
• Performance of optimal linear-response processes in driven Brownian motion far from equilibrium
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
• Equilibrium free energy differences from a linear nonequilibrium equality
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Efficient two-dimensional control of barrier crossing
• Optimal control with a strong harmonic trap
• Shortcuts to thermodynamic quasistaticity
• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Fluctuation theorem for irreversible entropy production in electrical conduction
• Speed limit, dissipation bound and dissipation-time trade-off in thermal relaxation processes
• Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• Global optimization and monotonicity in entropy production of weak drivings
• Finite-time bounds on the probabilistic violation of the second law of thermodynamics
• Thermodynamics of Statistical Anyons
• Relations between entropy rate, entropy production and information geometry in linear stochastic systems
• Assessing the performance of quantum annealing with nonlinear driving
• Symmetry induced enhancement in finite-time thermodynamic trade-off relations
• Decomposition of metric tensor in thermodynamic geometry in terms of relaxation timescales
• Thermodynamic speed limit for non-adiabatic work and its classical-quantum decomposition
• Environment-Assisted Shortcuts to Adiabaticity
• Optimal finite-time processes in weakly driven overdamped Brownian motion
• Kibble-Zurek scaling from linear response theory
• Minimal dissipation with viscoelastic baths in weakly driven processes
• Thermodynamic optimization equalities in weakly driven processes