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Starting with the basic control system model often employed in NMR pulse design, we derive more realistic control system models taking into account effects such as off-resonant excitation for systems with fixed inter-qubit coupling…

量子物理 · 物理学 2009-10-01 Sonia Schirmer

Optimal control of molecular dynamics is commonly expressed from a quantum mechanical perspective. However, in most contexts the preponderance of molecular dynamics studies utilize classical mechanical models. This paper treats laser-driven…

化学物理 · 物理学 2015-03-19 Carlee Joe-Wong , Tak-San Ho , Ruixing Long , Herschel Rabitz , Rebing Wu

In the framework of nuclear magnetic resonance, we consider the general problem of the coherent control of a spin coupled to a bath by means of composite or continuous pulses of duration $\tau_\mathrm{p}$. We show explicity that it is…

量子物理 · 物理学 2010-03-16 S. Pasini , P. Karbach , C. Raas , G. S. Uhrig

Adaptive methods of laser irradiation of plasmas are proposed consisting of deterministic, `on-off' amplitude modulations in time, and intermittently changing speckle-patterns. These laser pulses consist of a series of picosecond time-scale…

等离子体物理 · 物理学 2013-04-16 Bedros Afeyan , Stefan Hüller

A theory of dynamical control by modulation for optimal decoherence reduction is developed. It is based on the non-Markovian Euler-Lagrange equation for the energy-constrained field that minimizes the average dephasing rate of a qubit for…

量子物理 · 物理学 2008-08-14 Goren Gordon , Gershon Kurizki , Daniel A. Lidar

We present a modified optimal control scheme based on the Krotov method, which allows for strict limitations on the spectrum of the optimized laser fields, without losing monotonic convergence of the algorithm. The method guarantees a close…

量子物理 · 物理学 2008-08-18 Caroline Gollub , Markus Kowalewski , Regina de Vivie-Riedle

We propose a general framework for studying optimal impulse control problem in the presence of uncertainty on the parameters. Given a prior on the distribution of the unknown parameters, we explain how it should evolve according to the…

概率论 · 数学 2017-12-06 N. Baradel , B. Bouchard , Ngoc Minh Dang

We show how additional constraints, restricting the spectrum of the optimized pulse or confining the system dynamics, can be used to steer optimization in quantum control towards distinct solutions. Our examples are multi-photon excitation…

量子物理 · 物理学 2013-11-18 José P. Palao , Daniel M. Reich , Christiane P. Koch

A systematic method for optimal design of layered periodic composites for mitigation of impact-induced shock waves is presented. Frequency spectrum of a pulse with a sharp rise-time is analyzed and the frequency range that carries most of…

材料科学 · 物理学 2014-12-19 Hossein Sadeghi , Sia Nemat-Nasser

There has long been interest to control the transfer of population between specified quantum states. Recent work has optimized the control law for closed system population transfer by using a gradient ascent pulse engineer- ing algorithm…

量子物理 · 物理学 2010-04-28 Wei Cui , Zairong Xi , Yu Pan

An optimal dynamical decoupling of a quantum system coupled to a noisy environment must take into account also the imperfections of the control pulses. We present a new formalism which describes, in a closed-form expression, the evolution…

量子物理 · 物理学 2016-10-19 Ido Almog , Gil Loewenthal , Jonathan Coslovsky , Yoav Sagi , Nir Davidson

A robust control over quantum dynamics is of paramount importance for quantum technologies. Many of the existing control techniques are based on smooth Hamiltonian modulations involving repeated calculations of basic unitaries resulting in…

量子物理 · 物理学 2016-05-04 Gaurav Bhole , Anjusha V. S. , T. S. Mahesh

Quantum control is concerned with active manipulation of physical and chemical processes on the atomic and molecular scale. This work presents a perspective of progress in the field of control over quantum phenomena, tracing the evolution…

量子物理 · 物理学 2010-07-20 Constantin Brif , Raj Chakrabarti , Herschel Rabitz

Motivated by recent experimental progress achieved with ultracold atoms in kilohertz-driven optical lattices, we provide a theoretical discussion of mechanisms governing the response of a particle in a cosine lattice potential to strong…

量子气体 · 物理学 2011-12-15 Stephan Arlinghaus , Martin Holthaus

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

最优化与控制 · 数学 2016-09-26 Mattia Bongini , Giuseppe Buttazzo

The transfer of weakly bound KRb molecules from levels just below the dissociation threshold into the vibrational ground state with shaped laser pulses is studied. Optimal control theory is employed to calculate the pulses. The complexity…

原子物理 · 物理学 2011-04-15 Mamadou Ndong , Christiane P. Koch

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

系统与控制 · 电气工程与系统科学 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

In this paper, we derive the minimum-energy periodic control that entrains an ensemble of structurally similar neural oscillators to a desired frequency. The state space representation of a nominal oscillator is reduced to a phase model by…

神经元与认知 · 定量生物学 2012-02-24 Anatoly Zlotnik , Jr-Shin Li

Quantum systems are powerful detectors with wide-ranging applications from scanning probe microscopy of materials to biomedical imaging. Nitrogen vacancy (NV) centers in diamond, for instance, can be operated as qubits for sensing of…

量子物理 · 物理学 2024-06-07 Christopher I. Timms , Michael H. Kolodrubetz

This paper considers a set of multiple independent control systems that are each connected over a non-stationary wireless channel. The goal is to maximize control performance over all the systems through the allocation of transmitting power…

最优化与控制 · 数学 2019-03-27 Mark Eisen , Konstantinos Gatsis , George J. Pappas , Alejandro Ribeiro