Year: 2006
Type: article
Abstract: For a prescribed pair of quantum states |ψ I ⟩ and |ψ F ⟩ we establish an elementary derivation of the optimum Hamiltonian, under constraints on its eigenvalues, that generates the unitary transformation |ψ I ⟩ → |ψ F ⟩ in the shortest duration. The derivation is geometric in character and does not rely on variational calculus.
Authors: Dorje C Brody, Daniel W Hook
Institution: Imperial College London
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Funder: Royal Society
OpenAlex ID: W2065894084