Hamiltonian identification for quantum systems: Well-posedness and numerical approaches

Claude Le Bris, Mazyar Mirrahimi, Herschel Rabitz, Gabriel Turinici

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

This paper considers the inversion problem related to the manipulation of quantum systems using laser-matter interactions. The focus is on the identification of the field free Hamiltonian and/or the dipole moment of a quantum system. The evolution of the system is given by the Schrödinger equation. The available data are observations as a function of time corresponding to dynamics generated by electric fields. The well-posedness of the problem is proved, mainly focusing on the uniqueness of the solution. A numerical approach is also introduced with an illustration of its efficiency on a test problem.

Original languageEnglish (US)
Pages (from-to)378-395
Number of pages18
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume13
Issue number2
DOIs
StatePublished - Apr 2007

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

Keywords

  • Hamiltonian identification
  • Inverse problem
  • Optimal identification
  • Quantum systems

Fingerprint Dive into the research topics of 'Hamiltonian identification for quantum systems: Well-posedness and numerical approaches'. Together they form a unique fingerprint.

  • Cite this