Hamiltonian engineering via invariants and dynamical algebra Articles uri icon

publication date

  • April 2014

start page

  • 1

end page

  • 8

issue

  • 4(043408)

volume

  • 89

International Standard Serial Number (ISSN)

  • 1050-2947

Electronic International Standard Serial Number (EISSN)

  • 1094-1622

abstract

  • We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations as slow, adiabatic ones. As application examples, we design families of shortcut Hamiltonians that drive two- and three-level systems between initial and final configurations, imposing physically motivated constraints on the terms (generators) allowed in the Hamiltonian.

keywords

  • dynamical algebra; shortcuts to adiabaticity; dynamical invariants; hamiltonian formulation