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A remarkably simple result is found for the optimal protocol of drivings for a general two-level Hamiltonian which transports a given initial state to a given final state in minimal time. If one of the three possible drivings is…

量子物理 · 物理学 2015-06-22 Gerhard C. Hegerfeldt

Considering a double-headed Brownian motor moving with both translational and rotational degrees of freedom, we investigate the directed transport properties of the system in a traveling-wave potential. It is found that the traveling wave…

生物物理 · 物理学 2021-03-18 W. X. Wu , C. P. Li , Y. L. Song , Y. R. Han , Z. G. Zheng

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

We introduce an iterative method to search for time-optimal Hamiltonians that drive a quantum system between two arbitrary, and in general mixed, quantum states. The method is based on the idea of progressively improving the efficiency of…

量子物理 · 物理学 2019-12-25 Francesco Campaioli , William Sloan , Kavan Modi , Felix Alexander Pollock

A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical…

软凝聚态物质 · 物理学 2009-01-01 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Sudip Chattopadhyay , Pinaki Chaudhury

There are a number of tasks in quantum information science that exploit non-transitional adiabatic dynamics. Such a dynamics is bounded by the adiabatic theorem, which naturally imposes a speed limit in the evolution of quantum systems.…

量子物理 · 物理学 2014-03-04 Marcela Herrera , Marcelo S. Sarandy , Eduardo I. Duzzioni , Roberto M. Serra

We introduce a framework for approximate dynamic programming that we apply to discrete time chains on $\mathbb{Z}_+^d$ with countable action sets. Our approach is grounded in the approximation of the (controlled) chain's generator by that…

最优化与控制 · 数学 2018-04-16 Anton Braverman , Itai Gurvich , Junfei Huang

A technique for speeding up reinforcement learning algorithms by using time manipulation is proposed. It is applicable to failure-avoidance control problems running in a computer simulation. Turning the time of the simulation backwards on…

人工智能 · 计算机科学 2009-03-31 Petar Kormushev , Kohei Nomoto , Fangyan Dong , Kaoru Hirota

The pace and unpredictability of evolution are critically relevant in a variety of modern challenges: combating drug resistance in pathogens and cancer, understanding how species respond to environmental perturbations like climate change,…

Collisional Brownian engines have been proposed as alternatives for nonequilibrium nanoscale engines. However, most studies have focused on the simpler overdamped case, leaving the role of inertia much less explored. In this work, we…

统计力学 · 物理学 2024-07-02 Gustavo A. L. Forão , Fernando S. Filho , Bruno A. N. Akasaki , Carlos E. Fiore

We consider the Reinforcement Learning problem of controlling an unknown dynamical system to maximise the long-term average reward along a single trajectory. Most of the literature considers system interactions that occur in discrete time…

人工智能 · 计算机科学 2023-09-07 Lorenzo Croissant , Marc Abeille , Bruno Bouchard

Feedback can be utilized to convert information into useful work, making it an effective tool for increasing the performance of thermodynamic engines. Using feedback reversibility as a guiding principle, we devise a method for designing…

统计力学 · 物理学 2015-06-03 Jordan M. Horowitz , Juan M. R. Parrondo

Uncovering the origin of the arrow of time remains a fundamental scientific challenge. Within the framework of statistical physics, this problem was inextricably associated with the second law of thermodynamics, which declares that entropy…

量子物理 · 物理学 2018-02-27 G. B. Lesovik , I. A. Sadovskyy , M. V. Suslov , A. V. Lebedev , V. M. Vinokur

We use a reinforcement learning approach to reduce entropy production in a closed quantum system brought out of equilibrium. Our strategy makes use of an external control Hamiltonian and a policy gradient technique. Our approach bears no…

量子物理 · 物理学 2024-02-21 Sofia Sgroi , G. Massimo Palma , Mauro Paternostro

In this theoretical investigation, we study the effectiveness of a protocol that incorporates periodic quantum resetting to prepare ground states of frustration-free parent Hamiltonians. This protocol uses a steering Hamiltonian that…

量子物理 · 物理学 2024-03-27 Daniel Alcalde Puente , Felix Motzoi , Tommaso Calarco , Giovanna Morigi , Matteo Rizzi

A theoretical framework that supports automated construction of dynamic prime models purely from experimental time series data has been invented and developed, which can automatically generate (construct) data-driven models of any time…

定量方法 · 定量生物学 2015-11-12 Michael A. Idowu

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

机器人学 · 计算机科学 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

Quantum adiabatic evolution algorithm suggested by Farhi et al. was effective in solving instances of NP-complete problems. The algorithm is governed by the adiabatic theorem. Therefore, in order to reduce the running time, it is essential…

量子物理 · 物理学 2015-06-26 Joonwoo Bae , Younghun Kwon

Overtaking is one of the most challenging tasks in driving, and the current solutions to autonomous overtaking are limited to simple and static scenarios. In this paper, we present a method for behaviour and trajectory planning for safe…

机器人学 · 计算机科学 2021-11-16 Jiyo Palatti , Andrei Aksjonov , Gokhan Alcan , Ville Kyrki

The transition from reversible microdynamics to irreversible transport can be studied very efficiently with the help of the so-called projection method. We give a concise introduction to that method, illustrate its power by using it to…

核理论 · 物理学 2010-09-28 J. Rau , B. Müller