Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

Abstract

We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.

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References in corpus (19)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Optimal finite-time processes in stochastic thermodynamics
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Finite-time Landauer principle
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• The geometry of thermodynamic control
• Optimal driving of isothermal processes close to equilibrium
• Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes
• A geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
• Thermodynamic control -- an old paradigm with new applications
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Optimal work in a harmonic trap with bounded stiffness
• Limited-control optimal protocols arbitrarily far from equilibrium
• Thermodynamic interpretation of Wasserstein distance
• Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
• Optimal finite-time heat engines under constrained control
• Geometric Bounds on the Power of Adiabatic Thermal Machines
• Energy harvesting from anisotropic fluctuations

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• Optimal finite-time heat engines under constrained control
• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
• Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
• Optimal control with a strong harmonic trap
• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
• Optimizing power and efficiency of a single spin heat engine
• Optimal finite-time processes in weakly driven overdamped Brownian motion
• Sub-Bath Cooling in Bosonic Systems: Gaussian Constraints and Non-Gaussian Enhancements