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We present variational theory for optimal control over a finite time interval in quantum systems with relaxation. The corresponding Euler-Lagrange equations determining the optimal control field are derived. In our theory the optimal…

Quantum Physics · Physics 2009-11-07 Ilia Grigorenko , Martin E. Garcia , K. H. Bennemann

Optimal control theory, also known as Pontryagin's Maximum Principle, is applied to the quantum parameter estimation in the presence of decoherence. An efficient procedure is devised to compute the gradient of quantum Fisher information…

Quantum Physics · Physics 2022-05-03 Chungwei Lin , Yanting Ma , Dries Sels

Quantum measurements are considered for optimal control of quantum dynamics with instantaneous and continuous observations utilized to manipulate population transfer. With an optimal set of measurements, the highest yield in a two-level…

Quantum Physics · Physics 2009-02-17 Feng Shuang , Mianlai Zhou , Alexander Pechen , Rebing Wu , Ofer M. Shir , Herschel Rabitz

Advances of quantum control technology have led to nearly perfect single-qubit control of nuclear spins and atomic hyperfine ground states. In contrast, quantum control of strong optical transitions, even for free atoms, are far from being…

Atomic Physics · Physics 2020-06-24 Yudi Ma , Xing Huang , Xiaoqing Wang , Lingjing Ji , Yizun He , Liyang Qiu , Jian Zhao , Yuzhuo Wang , Saijun Wu

The Vlasov-Poisson system describes the time evolution of a plasma in the so-called collisionless regime. The investigation of a high-temperature plasma that is influenced by an exterior magnetic field is one of the most significant aspects…

Optimization and Control · Mathematics 2024-07-11 Jan Bartsch , Patrik Knopf , Stefania Scheurer , Jörg Weber

We investigate how entanglement can enhance two-photon absorption in a three-level system. First, we employ the Schmidt decomposition to determine the entanglement properties of the optimal two-photon state to drive such a transition, and…

Quantum Physics · Physics 2021-10-29 Edoardo G Carnio , Andreas Buchleitner , Frank Schlawin

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…

Atomic and Molecular Clusters · Physics 2015-05-27 Kevin Krieger , Alberto Castro , E. K. U. Gross

Genetic algorithms, as implemented in optimal control strategies, are currently successfully exploited in a wide range of problems in molecular physics. In this context, laser control of molecular alignment and orientation remains a very…

Chemical Physics · Physics 2007-05-23 O. Atabek , C. M. Dion

Considering the problem of the control of a two-state quantum system by an external field, we establish a general and versatile method that allows the derivation of smooth pulses, suitable for ultrafast applications, that feature the…

Quantum Physics · Physics 2015-06-15 D. Daems , A. Ruschhaupt , D. Sugny , S. Guerin

The electron-positron pair production due to the dynamical Schwinger process in a slowly oscillating strong electric field is enhanced by the superposition of a rapidly oscillating weaker electric field. A systematic account of the…

High Energy Physics - Phenomenology · Physics 2015-05-27 Andreas Otto , Daniel Seipt , David Blaschke , Stanislav Alexandrovich Smolyansky , Burkhard Kämpfer

We combined adaptive closed-loop optimization, phase-shaping with a restricted search space and imaging to control dynamics and decipher the optimal pulse. The approach was applied to controlling the amplitude of CO$_2$ bending vibration…

Atomic Physics · Physics 2009-11-13 G. -Y. Chen , Z. W. Wang , W. T. Hill

A new class of cost functionals for optimal control of quantum systems which produces controls which are sparse in frequency and smooth in time is proposed. This is achieved by penalizing a suitable time-frequency representation of the…

Optimization and Control · Mathematics 2016-07-15 Gero Friesecke , Felix Henneke , Karl Kunisch

Entangled atomic states, such as spin squeezed states, represent a promising resource for a new generation of quantum sensors and atomic clocks. We demonstrate that optimal control techniques can be used to substantially enhance the degree…

Quantum Physics · Physics 2016-02-03 T. Pichler , T. Caneva , S. Montangero , M. D. Lukin , T. Calarco

We investigate the optimization of the photon polarization to increase the yield of the Breit-Wheeler pair production in arbitrarily polarized plane wave backgrounds. We show that the optimized photon polarization can improve the positron…

High Energy Physics - Phenomenology · Physics 2022-09-21 Yunquan Gao , Suo Tang

A common way to manipulate a quantum system, for example spins or artificial atoms, is to use properly tailored control pulses. In order to accomplish quantum information tasks before coherence is lost, it is crucial to implement the…

Shaped pulses obtained by optimal control theory often possess unphysically broad spectra. In principle, the spectral width of a pulse can be restricted by an additional constraint in the optimization functional. However, it has so far been…

Quantum Physics · Physics 2015-07-23 Daniel M. Reich , José P. Palao , Christiane P. Koch

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…

Quantum Physics · Physics 2016-03-21 Maximilian Keck , Matthias M. Müller , Tommaso Calarco , Simone Montangero

We present an efficient strategy for controlling a vast range of non-integrable quantum many body one-dimensional systems that can be merged with state-of-the-art tensor network simulation methods like the density Matrix Renormalization…

Quantum Physics · Physics 2015-03-13 Patrick Doria , Tommaso Calarco , Simone Montangero

Here is investigated the bilinear optimal control problem of quantum mechanical systems with final observation governed by a stochastic nonlinear Schr\"odinger equation perturbed by a linear multiplicative Wiener process. The existence of…

Probability · Mathematics 2016-07-25 Viorel Barbu , Michael Röckner , Deng Zhang

We propose an optimal control strategy to generate maximally entangled states in bipartite quantum systems. Leveraging the Pontryagin Principle, we derive time-dependent control fields that maximize the entanglement measure, specifically…

Quantum Physics · Physics 2025-02-24 Nahid Binandeh Dehaghani , A. Pedro Aguiar , Rafal Wisniewski
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