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On optimum Hamiltonians for state transformations

Dorje C. Brody·Daniel W. Hook
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Abstract

For a prescribed pair of quantum states |psi_I> and |psi_F> we establish an elementary derivation of the optimum Hamiltonian, under constraints on its eigenvalues, that generates the unitary transformation |psi_I> --> |psi_F> in the shortest duration. The derivation is geometric in character and does not rely on variational calculus.

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Dorje C. Brody, Daniel W. Hook. 2006-01-17. On optimum Hamiltonians for state transformations. https://doi.org/10.1088/0305-4470/39/11/l02

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