Extracting work from a single heat bath through feedback

Abstract

Work can be extracted from a single heat bath if additional information is available. For the paradigmatic case of a Brownian particle in a harmonic potential, whose position has been measured with finite precision, we determine the optimal protocol for manipulating the center and stiffness of the potential in order to maximize this work in a finite-time process. The bound on this work imposed by a generalized second law inequality involving information can be reached only if both position and stiffness of the potential are controlled and the process is quasistatic. Estimates on the power delivered by such an "information machine" operating cyclically follow from our analytical results.

6 pages, 3 figures

References in corpus (28)

• A nonequilibrium equality for free energy differences
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Information heat engine: converting information to energy by feedback control
• Maximal work extraction from quantum systems
• The Physics of Maxwell's demon and information
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Dissipation: The phase-space perspective
• Stochastic thermodynamics: Principles and perspectives
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
• Optimal finite-time processes in stochastic thermodynamics
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Information-theoretic approach to the study of control systems
• Extraction of work from a single thermal bath in the quantum regime
• Thermodynamics of feedback controlled systems
• Lower bounds on dissipation upon coarse graining
• Fluctuation theorems for continuously monitored quantum fluxes
• Generalized detailed Fluctuation Theorem under Nonequilibrium Feedback control
• Finite time thermodynamics for a single level quantum dot
• Memory erasure in small systems
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Steady state fluctuation relations for systems driven by an external random force
• Computing the optimal protocol for finite-time processes in stochastic thermodynamics
• Cooling classical particles with a microcanonical Szilard engine
• Optimal protocols for Hamiltonian and Schrödinger dynamics
• Thermodynamics of adiabatic feedback control
• Mutual information via thermodynamics: Three different approaches

Cited by in corpus (93)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Second law and Landauer principle far from equilibrium
• Work and information processing in a solvable model of Maxwell's demon
• Nonequilibrium Thermodynamics of Feedback Control
• Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
• Thermodynamics of a physical model implementing a Maxwell demon
• Thermodynamics with continuous information flow
• Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Information Thermodynamics on Causal Networks
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Maxwell's Refrigerator: An Exactly Solvable Model
• Second-law-like inequalities with information and their interpretations
• Thermodynamic Reversibility in Feedback Processes
• Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
• Thermodynamic and Logical Reversibilities Revisited
• Thermodynamics of genuine non-equilibrium states under feedback control
• Imitating Chemical Motors with Optimal Information Motors
• An autonomous and reversible Maxwell's demon
• Coherence-enhanced efficiency of feedback-driven quantum engines
• Designing optimal discrete-feedback thermodynamic engines
• Role of Mutual Information in Entropy Production under Information Exchanges
• Stochastic thermodynamics with information reservoirs
• Lossless Brownian information engine
• Optimal performance of periodically driven, stochastic heat engines under limited control
• Sensory capacity: an information theoretical measure of the performance of a sensor
• Finite-time erasing of information stored in fermionic bits
• Efficiency of a Brownian information machine
• Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets
• Optimal Control in Stochastic Thermodynamics
• Underdamped stochastic heat engine at maximum efficiency
• Modeling Maxwell's demon with a microcanonical Szilard engine
• The thermodynamic cost of measurements
• Stochastic Thermodynamics of Learning
• Information driven current in a quantum Maxwell demon
• Correlation-powered Information Engines and the Thermodynamics of Self-Correction
• Rate of mutual information between coarse-grained non-Markovian variables
• Efficiency fluctuations and noise induced refrigerator-to-heater transition in information engines
• Joint probability distributions and fluctuation theorems
• Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
• Mutual Entropy-Production and Sensing in Bipartite Systems
• General achievable bound of extractable work under feedback control
• On the energetics of information exchange
• Extracting work from a single heat bath - A case study on Brownian particle under external magnetic field in presence of information
• Thermodynamics of Quantum-Jump-Conditioned Feedback Control
• Stochastic Heat Engine Powered By Active Dissipation
• Efficiency of a cyclic quantum heat engine with finite-size baths
• Total cost of operating an information engine
• Reaching and violating thermodynamic uncertainty bounds in information engines
• Optimal tuning of a confined Brownian information engine
• Thermodynamics of collisional models for Brownian particles: General properties and efficiency
• Informations in models of evolutionary dynamics
• Hamiltonian Derivations of the Generalized Jarzynski Equalities under Feedback Control
• Colossal power extraction from active cyclic Brownian information engines
• Enhancement of mobility in an interacting colloidal system under feedback control
• Efficiency at maximum power of a Carnot quantum information engine
• Work extraction from microcanonical bath
• Thermodynamics of Information Processing Based on Enzyme Kinetics: an Exactly Solvable Model of Information Pump
• Fokker-Planck equation of the reduced Wigner function associated to an Ohmic quantum Langevin dynamics
• Open Problems on Information and Feedback Controlled Systems
• Extracting work optimally with imprecise measurements
• Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
• Efficient two-dimensional control of barrier crossing
• Optimized finite-time information machine
• Jarzynski's equality, fluctuation theorems, and variance reduction: Mathematical analysis and numerical algorithms
• Time-reversal symmetry relations for currents in quantum and stochastic nonequilibrium systems
• Analogy Between Gambling and Measurement-Based Work Extraction
• Active particles in moving traps: minimum work protocols and information efficiency of work extraction
• Extracting work from a single reservoir in the non-Markovian underdamped regime
• Correlations, operations and the second law of thermodynamics
• Extracting work from the magnetic field coupled Brownian particles
• Fast Functionalization with High Performance in the Autonomous Information Engine
• Reversible feedback confinement
• Maxwell's demon and the management of ignorance in stochastic thermodynamics
• Information Swimmer: A Novel Mechanism of Self-propulsion
• Geometric Brownian Information Engine: Essentials for the best performance
• Work relations with measurement and feedback control on nonuniform temperature systems
• Thermodynamics of Encoding and Encoders
• Achievable Information-Energy Exchange in a Brownian Information Engine through Potential Profiling
• Microcanonical Szilárd engines beyond the quasistatic regime
• Mutual information change in feedback processes driven by measurement
• Efficiency estimation for an equilibrium version of Maxwell refrigerator
• Classical information driven quantum dot thermal machines
• Accuracy of energy measurement and reversible operation of a microcanonical Szilard engine
• Thermodynamics of multiple Maxwell demons
• Generalized integral fluctuation relation with feedback control for diffusion processes
• Driven particle in a one dimensional periodic potential with feedback control: efficiency and power optimization
• Energy extraction of a chaotic system in a cyclic process: a Szilárd Engine perspective
• Iterative control strategies for non-linear systems
• Memory-aware feedback enhances power in active information engines
• Thermodynamic bound on quantum state discrimination
• Trajectory statistics of confined Lévy flights and Boltzmann-type equilibria
• Autonomous Brownian motor driven by nonadiabatic variation of internal parameters