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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…

Optimization and Control · Mathematics 2020-01-22 V. Martikyan , D. Guéry-Odelin , D. Sugny

We propose a scheme which can produce desired nonadiabatic passages for the stimulated Raman transition in three-level systems. The state transfer in the protocol is realized by following the evolution of the dynamical basis itself and no…

Quantum Physics · Physics 2019-11-27 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

We study the problem of optimal control of dissipative quantum dynamics. Although under most circumstances dissipation leads to an increase in entropy (or a decrease in purity) of the system, there is an important class of problems for…

Quantum Physics · Physics 2009-11-10 Shlomo E. Sklarz , David J. Tannor , Navin Khaneja

Cell heterogeneity plays an important role in patient responses to drug treatments. In many cancers, it is associated with poor treatment outcomes. Many modern drug combination therapies aim to exploit cell heterogeneity, but determining…

Quantitative Methods · Quantitative Biology 2025-02-18 Simon F. Martina-Perez , Samuel W. S. Johnson , Rebecca M. Crossley , Jennifer C. Kasemeier , Paul M. Kulesa , Ruth E. Baker

Microgrids have more operational flexibilities as well as uncertainties than conventional power grids, especially when renewable energy resources are utilized. An energy storage based feedback controller can compensate undesired dynamics of…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Tianwei Xia , Kai Sun , Wei Kang

In this study, we consider an optimal control problem driven by a stochastic differential equation with state constraints. Here, the state constraints mean the constraints about the path of state. In order to show the maximum principe for…

Optimization and Control · Mathematics 2018-04-23 Shuzhen Yang

The aim of this notes is to give a concise introduction to control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllability and optimal control problems for these systems. For the…

Optimization and Control · Mathematics 2021-01-27 Qi Lü , Xu Zhang

Optimal control theory has been employed to populate separately two dark states of the acetylene polyad $N_s=1$, $N_r=5$ by indirect coupling via the ground state. Relevant level energies and transition dipole moments are extracted from the…

Quantum Physics · Physics 2015-10-28 L. Santos , N. Iacobellis , M. Herman , D. S. Perry , M. Desouter-Lecomte , N. Vaeck

In this paper, we study an optimal control problem of a mean-field forward-backward stochastic system with random jumps in progressive structure, where both regular and singular controls are considered in our formula. In virtue of the…

Optimization and Control · Mathematics 2023-05-30 Tian Chen , Kai Du , Zongyuan Huang , Zhen Wu

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for…

Optimization and Control · Mathematics 2023-03-10 Stefano Almi , Marco Morandotti , Francesco Solombrino

In this paper, a novel multiagent based state transition optimization algorithm with linear convergence rate named MASTA is constructed. It first generates an initial population randomly and uniformly. Then, it applies the basic state…

Optimization and Control · Mathematics 2021-03-08 Xiaojun Zhou

Collective migration of animals in a cohesive group is rendered possible by a strategic distribution of tasks among members: some track the travel route, which is time and energy-consuming, while the others follow the group by interacting…

Optimization and Control · Mathematics 2015-08-05 Benedetto Piccoli , Nastassia Pouradier Duteil , Benjamin Scharf

Quantum coherent control of a quantum system with high-fidelity is rather important in quantum computation and quantum information processing. There are many control techniques to reach these targets, such as resonant excitation, adiabatic…

Quantum Physics · Physics 2023-03-09 Hang Xu , Xue-Ke Song , Dong Wang , Liu Ye

In this work, we address the problem of maximizing fidelity in a quantum state transformation process controlled in such a way as to keep decoherence within given bounds. We consider a three-level $\Lambda$-type atom subjected to Markovian…

Quantum Physics · Physics 2022-03-30 Nahid Binandeh Dehaghani , Fernando Lobo Pereira

We present a general and versatile technique of population transfer based on {\it parallel adiabatic passage} by femtosecond shaped pulses. Their amplitude and phase are specifically designed to optimize the adiabatic passage corresponding…

Quantum Physics · Physics 2015-05-13 G. Dridi , S. Guerin , V. Hakobyan , H. R. Jauslin , H. Eleuch

This paper addresses a nonlinear partial differential control system arising in population dynamics. The system consist of three diffusion equations describing the evolutions of three biological species: prey, predator, and food for the…

Analysis of PDEs · Mathematics 2021-04-20 Sergey A. Timoshin , Chen Bin

We propose a technique which produces nearly complete ionization of the population of a discrete state coupled to a continuum by a two-photon transition via a lossy intermediate state whose lifetime is much shorter than the interaction…

Quantum Physics · Physics 2010-10-07 A. A. Rangelov , N. V. Vitanov , E. Arimondo

Quantum technologies will ultimately require manipulating many-body quantum systems with high precision. Cold atom experiments represent a stepping stone in that direction: a high degree of control has been achieved on systems of increasing…

In this study, we address a control-constrained optimal control problem pertaining to the transformation of quantum states. Our objective is to navigate a quantum system from an initial state to a desired target state while adhering to the…

Quantum Physics · Physics 2023-10-11 Nahid Binandeh Dehaghani , A. Pedro Aguiar

We examine the stability versus different types of perturbations of recently proposed shortcuts-to-adiabaticity to speed up the population inversion of a two-level quantum system. We find optimally robust processes using invariant based…

Quantum Physics · Physics 2013-10-30 A. Ruschhaupt , Xi Chen , D. Alonso , J. G. Muga