On optimum Hamiltonians for state transformations
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0601109,
title = {On optimum Hamiltonians for state transformations},
author = {Dorje C. Brody and Daniel W. Hook},
journal= {arXiv preprint arXiv:quant-ph/0601109},
year = {2007}
}
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5 pages