Controllability analysis of quantum systems immersed within an engineered environment

A. Grigoriu, H. Rabitz, G. Turinici

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.

Original languageEnglish (US)
Pages (from-to)1548-1560
Number of pages13
JournalJournal of Mathematical Chemistry
Volume51
Issue number6
DOIs
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Applied Mathematics

Keywords

  • Controllability in a non-compact Lie group
  • Controllability of non-Markovian equations
  • Lie group controllability
  • Quantum control

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