On optimum Hamiltonians for state transformations

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.

5 pages

References in corpus (3)

• Geometric Quantum Mechanics
• Quantum Brachistochrone
• Elementary Derivation for Passage Times

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