Transformation design and nonlinear Hamiltonians

Thomas Brougham, Goce Chadzitaskos, Igor Jex

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study a class of nonlinear Hamiltonians, with applications in quantum optics. The interaction terms of these Hamiltonians are generated by taking a linear combination of powers of a simple 'beam splitter' Hamiltonian. The entanglement properties of the eigenstates are studied. Finally, we show how to use this class of Hamiltonians to perform special tasks such as conditional state swapping, which can be used to generate optical cat states and to sort photons.

Original languageEnglish
Pages (from-to)1588-1597
Number of pages10
JournalJournal of Modern Optics
Volume56
Issue number14
DOIs
Publication statusPublished - 2009

Keywords

  • quantum optics
  • nonlinear optics
  • quantum information
  • lossless beam splitter
  • orthogonal polynomials
  • SU(2) symmetry
  • quantum
  • systems
  • statistics
  • mechanics
  • states

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