Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Pattern Formation in Spin Ensembles

  • Jr-Shin LiEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_100159-1


Many applications in quantum science and technology involve controlling the collective behavior or engineering excitation profiles of a large inhomogeneous ensemble. Developing electromagnetic pulses to achieve these exercises has been a long-standing challenging problem in the field of quantum control. Here, we view this problem through the lens of ensemble control providing some background material on the relevant developments and discussing some specific problem areas where these ideas play a role.


Ensemble control Spin ensembles Pulse design Non-harmonic Fourier expansion Alternating minimization Coherence transfer 
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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2020

Authors and Affiliations

  1. 1.Department of Electrical and Systems EngineeringWashington University in St. LouisSt. LouisUSA

Section editors and affiliations

  • Ian R. Petersen
    • 1
  1. 1.Research School of Electrical, Energy and Materials EngineeringAustralian National UniversityCanberraAustralia