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Direct optimal control theory for quantum dynamical problems presents itself as an interesting alternative to the traditional indirect optimal control. The method relies on the first discretize and then optimize paradigm, where a…

化学物理 · 物理学 2022-01-19 A. R. Ramos Ramos , O. Kühn

We study the interplay between rotating wave approximation and optimal control. In particular, we show that for a wide class of optimal control problems one can choose the control field such that the Hamiltonian becomes time-independent…

量子物理 · 物理学 2016-03-21 Maximilian Keck , Matthias M. Müller , Tommaso Calarco , Simone Montangero

We present some approaches to the computation of ultra-fast laser pulses capable of selectively breaking molecular bonds. The calculations are based on a mixed quantum-classical description: The electrons are treated quantum mechanically…

原子与分子团簇 · 物理学 2015-05-27 Kevin Krieger , Alberto Castro , E. K. U. Gross

Short intense laser pulses are routinely used to induce rotational wave packet dynamics of molecules. Ro-vibrational wave packet dynamics has been explored comparatively infrequently, focusing predominantly on extremely light and rigid…

量子气体 · 物理学 2024-11-12 D. Blume , Q. Guan , J. Kruse , M. Kunitski , R. Doerner

Recent studies of the dynamically assisted Schwinger effect have shown that particle production is significantly enhanced by a proper choice of the electric field. We demonstrate that optimal control theory provides a systematic means of…

高能物理 - 唯象学 · 物理学 2013-08-29 Christian Kohlfürst , Mario Mitter , Gregory von Winckel , Florian Hebenstreit , Reinhard Alkofer

We present a simple approach allowing to obtain analytical expressions for laser pulses that can drive a two-level system in an arbitrarily chosen way. The proposed scheme relates every desired population-evolution path to a single resonant…

量子物理 · 物理学 2015-02-18 Nikolay V. Golubev , Alexander I. Kuleff

The optimal control of two-level systems by time-dependent laser fields is studied using a variational theory. We obtain, for the first time, general analytical expressions for the optimal pulse shapes leading to global maximization or…

量子物理 · 物理学 2009-11-10 Martin E. Garcia , Ilia Grigorenko

Starting from an initial pure quantum state, we present a strategy for reaching a target state corresponding to the extremum (maximum or minimum) of a given observable. We show that a sequence of pulses of moderate intensity, applied at…

量子物理 · 物理学 2016-08-16 D. Sugny , A. Keller , O. Atabek , D. Daems , C. M. Dion , S. Guérin , H. R. Jauslin

Dynamic nuclear polarization (DNP) is used in nuclear magnetic resonance (NMR) to transfer polarization from electron spins to nuclear spins. The resulting nuclear polarization enhancement can, in theory, be two or three orders of magnitude…

量子物理 · 物理学 2015-10-14 Sarah Sheldon , David G. Cory

We present an efficient transcription method for highly oscillatory optimal control problems. For these problems, the optimal state trajectory consists of fast oscillations that change slowly over the time horizon. Out of a large number of…

最优化与控制 · 数学 2022-05-19 Jakob Harzer , Jochem De Schutter , Moritz Diehl

We present an analysis of two experimental approaches to controlling the directionality of molecular rotation with ultrashort laser pulses. The two methods are based on the molecular interaction with either a pair of pulses (a "double kick"…

光学 · 物理学 2015-06-11 C. Bloomquist , S. Zhdanovich , A. A. Milner , V. Milner

In this paper, we study the design of pulse sequences for NMR spectroscopy as a problem of time optimal control of the unitary propagator. Radio frequency pulses are used in coherent spectroscopy to implement a unitary transfer of state.…

量子物理 · 物理学 2009-11-06 Navin Khaneja , Roger Brockett , Steffen Glaser

Using optimal control, we establish and link the ultimate bounds in time (referred to as quantum speed limit) and energy of two- and three-level quantum nonlinear systems which feature 1:2 resonance. Despite the unreachable complete…

量子物理 · 物理学 2023-11-07 Jing-jun Zhu , Kaipeng Liu , Xi Chen , Stéphane Guérin

We propose an optical control scheme for driving a polar molecule from a high-lying vibrational level to a target low-lying one, within the same electronic state. The scheme utilizes an infrared chirped laser pulse with an analytical shape,…

量子物理 · 物理学 2023-07-19 Mateo Londoño , Julio C. Arce

Nitrogen-vacancy centers possessing nuclear spins are promising candidates for a novel nuclear spin gyroscope. Preparation of a nuclear spin state is a crucial step to implement a sensor that utilizes a nuclear spin. In a low magnetic…

The stability of complex networks, from power grids to biological systems, is crucial for their proper functioning. It is thus important to control such systems to maintain or restore their stability. Traditional approaches rely on…

最优化与控制 · 数学 2025-09-23 Yuzhen Qin , Fabio Pasqualetti , Danielle S. Bassett , Marcel van Gerven

In this work, we investigate how and to which extent a quantum system can be driven along a prescribed path in Hilbert space by a suitably shaped laser pulse. To calculate the optimal, i.e., the variationally best pulse, a properly defined…

量子物理 · 物理学 2007-05-23 I. Serban , J. Werschnik , E. K. U. Gross

The control of quantum dynamics via specially tailored laser pulses is a long-standing goal in physics and chemistry. Partly, this dream has come true, as sophisticated pulse shaping experiments allow to coherently control product ratios of…

量子物理 · 物理学 2007-07-16 J. Werschnik , E. K. U. Gross

Within the framework of optimal control theory we develop a simple iterative scheme to determine optimal laser pulses with spectral and fluence constraints. The algorithm is applied to a one-dimensional asymmetric double well where the…

量子物理 · 物理学 2007-05-23 J. Werschnik , E. K. U. Gross

We present an implementation of optimal control theory for the first-principles non-adiabatic Ehrenfest Molecular Dynamics model, which describes a condensed matter system by considering classical point-particle nuclei, and quantum…

原子与分子团簇 · 物理学 2017-02-27 Adrián Gómez Pueyo , Jorge A. Budagosky M. , Alberto Castro