Optimal control under spectral constraints: enforcing multi-photon absorption pathways
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In this paper, Krotov's method allows simultaneously imposing temporal and spectral constraints without perturbing monotonic convergence, provided the constraints can be expressed as positive semi-definite quadratic forms.Abstract:
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 impossible to impose spectral constraints while strictly guaranteeing monotonic convergence. Here, we show that Krotov’s method allows for simultaneously imposing temporal and spectral constraints without perturbing monotonic convergence, provided the constraints can be expressed as positive semi-definite quadratic forms. The optimized field is given by an integral equation which can be solved efficiently using the method of degenerate kernels. We demonstrate that Gaussian filters suppress undesired frequency components in the control of non-resonant two-photon absorption.read more
Citations
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Training Schrödinger’s cat: quantum optimal control
Steffen J. Glaser,Ugo Boscain,Tommaso Calarco,Christiane P. Koch,Walter Köckenberger,Ronnie Kosloff,Ilya Kuprov,Burkhard Luy,Sophie Schirmer,Thomas Schulte-Herbrüggen,Dominique Sugny,Dominique Sugny,Frank K. Wilhelm +12 more
TL;DR: In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems.
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Training Schr\"odinger's cat: quantum optimal control
Stefffen J. Glaser,Ugo Boscain,Tommaso Calarco,Christiane P. Koch,Walter Köckenberger,Ronnie Kosloff,Ilya Kuprov,Burkard Luy,Sophie Schirmer,Thomas Schulte-Herbrüggen,Dominique Sugny,Frank K. Wilhelm +11 more
TL;DR: In this paper, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium uniting expertise in optimal control theory and applications to spectroscopy, imaging, quantum dynamics of closed and open systems.
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Controlling open quantum systems: tools, achievements, and limitations.
TL;DR: In this paper, the authors review recent advances in optimal control methodology that allow typical tasks in device operation for open quantum systems to be tackled and discuss examples of relaxation-optimized dynamics.
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Quantum optimal control in a chopped basis: Applications in control of Bose-Einstein condensates
TL;DR: In this article, the authors discuss quantum optimal control of Bose-Einstein condensates trapped in magnetic microtraps and compare the performance of the derivative-based methods and derivative-free methods in a reduced control space.
Journal ArticleDOI
Krotov: A Python implementation of Krotov's method for quantum optimal control
Michael H. Goerz,Daniel Basilewitsch,Fernando Gago-Encinas,Matthias G. Krauss,Karl P. Horn,Daniel M. Reich,Christiane P. Koch +6 more
TL;DR: Krotov as discussed by the authors is an open-source Python package that implements the quantum optimal control method of that name and allows to determine time-dependent external fields for a wide range of quantum control problems, including state-to-state transfer, quantum gate implementation and optimization towards an arbitrary perfect entangler.
References
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