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The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

统计力学 · 物理学 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

We investigate the finite time thermodynamics of a single-level fermion system interacting with a thermal reservoir through a tunneling junction. The optimal protocol to extract the maximum work from the system when moving the single energy…

Recent studies have explored finite-time dissipation-minimizing protocols for stochastic thermodynamic systems driven arbitrarily far from equilibrium, when granted full external control to drive the system. However, in both simulation and…

统计力学 · 物理学 2022-10-27 Adrianne Zhong , Michael R. DeWeese

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

统计力学 · 物理学 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

For two canonical examples of driven mesoscopic systems - a harmonically-trapped Brownian particle and a quantum dot - we numerically determine the finite-time protocols that optimize the compromise between the standard deviation and the…

统计力学 · 物理学 2018-05-09 Alexandre P. Solon , Jordan M. Horowitz

We optimize finite-time stochastic heat engines with a periodically scaled Hamiltonian under experimentally motivated constraints on the bath temperature $T$ and the scaling parameter $\lambda$. We present a general geometric proof that…

We consider a general class of dynamic resource allocation problems within a stochastic optimal control framework. This class of problems arises in a wide variety of applications, each of which intrinsically involves resources of different…

最优化与控制 · 数学 2018-01-08 Xuefeng Gao , Yingdong Lu , Mayank Sharma , Mark S. Squillante , Joost W. Bosman

The goal of thermodynamic optimal control theory is to find protocols to change the state of a system from an initial to a desired final distribution, within a finite time, with the least possible expenditure of work. The optimal protocol…

统计力学 · 物理学 2025-12-18 Daan Mulder , Thomas E. Ouldridge , Pieter Rein ten Wolde

The development of efficient artificial nanodevices poses challenges which are of fundamental and technological nature. Recent progress has been made in the context of finite-time thermodynamics. A central question in finite-time…

统计力学 · 物理学 2014-03-18 Mario Einax

The system consists of a Brownian particle immersed in a heat bath trapped in optical tweezers with a time-dependent strength acting as an external protocol. In [Phys. Rev. Letts., 98:108301, 2007] the optimal mean work in the overdamped…

统计力学 · 物理学 2023-02-03 Pedro J. Colmenares , Oscar Paredes-Altuve

Controlling the evolution of nonequilibrium systems to minimize dissipated heat or work is a key goal for designing nanodevices, both in nanotechnology and biology. Progress in computing optimal protocols has thus far been limited to either…

计算物理 · 物理学 2022-01-04 Megan C. Engel , Jamie A. Smith , Michael P. Brenner

The tradeoff relation between speed and cost is a central issue in designing fast and efficient information processing devices. We derive an achievable bound on thermodynamic cost for obtaining information through finite-time…

统计力学 · 物理学 2024-05-16 Rihito Nagase , Takahiro Sagawa

The optimization of the conversion of thermal energy into work and the minimization of dissipation for nano- and mesoscopic systems is a complex challenge because of the important role fluctuations play on the dynamics of small systems. We…

量子物理 · 物理学 2025-09-24 Alberto Rolandi

A fluctuation theorem relating the work to its optimal average work is presented. The function mediating the relation is increasing and convex, and depends on the switching time $\tau$, driving strength $\delta\lambda/\lambda_0$, and…

统计力学 · 物理学 2024-07-02 Pierre Nazé

Optimal control is a central problem in quantum thermodynamics. When minimizing dissipated work and work fluctuations defined via the two-point measurement scheme in open quantum systems, existing approaches largely focus on the rapid- and…

量子物理 · 物理学 2026-04-08 Yuki Kurokawa , Yoshihiko Hasegawa

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

统计力学 · 物理学 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

Performing thermodynamic tasks within finite time while minimizing thermodynamic costs is a central challenge in stochastic thermodynamics. Here, we develop a unified framework for optimizing the thermodynamic cost of performing various…

统计力学 · 物理学 2025-09-16 Kaito Tojo , Rihito Nagase , Ken Funo , Takahiro Sagawa

The optimal control of passive systems in equilibrium typically favours quasistatic (infinite-time) protocols. We show that a breakdown of quasistatic optimality occurs when the controller itself is dissipative. Concretely, we study a…

统计力学 · 物理学 2026-05-08 Luca Cocconi , Henry Alston , Thibault Bertrand

Asking for the optimal protocol of an external control parameter that minimizes the mean work required to drive a nano-scale system from one equilibrium state to another in finite time, Schmiedl and Seifert ({\it Phys. Rev. Lett.} {\bf 98},…

统计力学 · 物理学 2008-04-14 Holger Then , Andreas Engel

We consider the problem of finding the energy minimum of a complex quantum Hamiltonian by employing a non-Markovian bath prepared in a low energy state. The energy minimization problem is thus turned into a thermodynamic cooling protocol in…

量子物理 · 物理学 2024-03-29 Alberto Imparato , Nicholas Chancellor , Gabriele De Chiara