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Accelerating controlled thermodynamic processes requires an auxiliary Hamiltonian to steer the system into instantaneous equilibrium states. An extra energy cost is inevitably needed in such finite-time operation. We recently develop a…

统计力学 · 物理学 2023-01-18 Geng Li , C. P. Sun , Hui Dong

Shortcuts to isothermality provide a powerful method to speed up quasistatic thermodynamic processes within finite-time manipulation. We employ the shortcut strategy to design and optimize Brownian heat engines, and formulate a geometric…

统计力学 · 物理学 2022-11-04 Jin-Fu Chen

Shortcut schemes can accelerate quasi-static processes in passive systems by adding auxiliary controls to realize swift transitions between equilibrium states. In active systems, however, inherently directed motion driven by free energy…

统计力学 · 物理学 2026-04-08 Guodong Cheng , Z. C. Tu , Geng Li

To accomplish a task within limited operation time typically requires an excess expense of energy, whose minimum is of practical importance for the optimal design in various applications, especially in the industrial separation of mixtures…

最优化与控制 · 数学 2023-11-10 Jin-Fu Chen , Ruo-Xun Zhai , C. P. Sun , Hui Dong

We investigate the optimization of quantum control from a differential geometric perspective. In our approach, optimal control minimizes the cost associated with evolving a quantum state, with the cost quantified by the length of the…

量子物理 · 物理学 2025-05-27 Chengming Tan , Yuhao Cai , Jinyi Zhang , Shengli Ma , Chenwei Lv , Ren Zhang

Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff…

统计力学 · 物理学 2025-07-29 Rémi Goerlich , Kristian Stølevik Olsen , Hartmut Löwen , Yael Roichman

For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between two given equilibrium states. For overdamped dynamics which ignores inertia effects,…

统计力学 · 物理学 2008-07-23 Alex Gomez-Marin , Tim Schmiedl , Udo Seifert

A unitary evolution in time may be treated as a curve in the manifold of the special unitary group. The length of such a curve can be related to the energetic cost of the associated computation, meaning a geodesic curve identifies an…

Microscopic particle separation plays vital role in various scientific and industrial domains. In this Letter, we propose a universal non-equilibrium thermodynamic approach, employing the concept of Shortcuts to Isothermality, to realize…

统计力学 · 物理学 2026-05-19 Xiu-Hua Zhao , Z. C. Tu , Yu-Han Ma

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic…

We analyze the control of the motion of a charged particle by means of an external electric field. The system is constrained to move along a given direction. The goal of the control is to change the speed of the particle in a fixed time…

最优化与控制 · 数学 2020-01-22 V. Martikyan , D. Guéry-Odelin , D. Sugny

To achieve fast computation, it is crucial to reset the memory to a desired state within a limited time. However, the inherent delay in the system's response often prevents reaching the desired state once the control process is completed in…

统计力学 · 物理学 2024-09-17 Geng Li , Hui Dong

We introduce an energetically-optimal method inspired from Shortcut-To-Adiabaticity (STA) processes, named Quantum-Optimal-Shortcut-To-Energetics (QOSTE). QOSTE produces the same transformation as STA for a given protocol used in quantum…

量子物理 · 物理学 2026-04-16 C. L. Latune , M. B. Puthuveedu Shebeek , D. Sugny , S. Guérin

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

人工智能 · 计算机科学 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

A central goal of thermodynamics is to identify optimal processes during which the least amount of energy is dissipated into the environment. Generally, even for simple systems, such as the parametric harmonic oscillator, optimal control…

统计力学 · 物理学 2018-10-11 Marcus V. S. Bonança , Sebastian Deffner

In conventional thermodynamics, it is widely acknowledged that the realization of an isothermal process for a system requires a quasi-static controlling protocol. Here we propose and design a strategy to realize a finite-rate isothermal…

统计力学 · 物理学 2017-07-25 Geng Li , H. T. Quan , Z. C. Tu

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…

统计力学 · 物理学 2020-08-11 Sebastian Deffner , Marcus V. S. Bonança

Optimal processes in stochastic thermodynamics are a frontier for understanding the control and design of non-equilibrium systems, with broad practical applications in biology, chemistry, and nanoscale/mesoscale systems. Optimal mass…

统计力学 · 物理学 2026-01-15 Atul Tanaji Mohite , Heiko Rieger

We experimentally and theoretically study the thermodynamically optimal control of interacting multiple-particle systems, focusing on collections of colloidal particles individually confined in optical traps. We investigate protocols that…

软凝聚态物质 · 物理学 2026-03-19 Samuel Monter , Lars T. Stutzer , Sarah A. M. Loos , Clemens Bechinger

A common approach to quantify excess dissipation in slowly driven thermodynamic processes is through the use of a Riemannian metric on the space of control parameters, where optimal driving protocols follow geodesics. Near phase…

统计力学 · 物理学 2025-12-02 Omer M. Basri , Oren Raz
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