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Article overview
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Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution in Vicinity of Exceptional Point | | A. I. Nesterov
; | | Date: |
18 Jul 2007 | | Abstract: | Recently the quantum brachistochrone problem has been considered for
non-Hermitian $cal PT$-symmetric quantum system, and it has been shown that
the optimal evolution time required to transform a given initial state
$|psi_i>$ into specific final state $|psi_f>$ can be made arbitrary small.
Here we study the similar problem for generic non-Hermitian Hamiltonian and
find that the same answer can be obtained. We show that at the exceptional
point the distance between $|psi_i>$ and $|psi_f>$ becomes virtually
vanishing and quantum tunneling occurring at the exceptional point yields the
shortest timed required to evolve from the initial state $|psi_i>$ into the
final state $|psi_f>$. These results may have applications in holonomic
quantum computation and quantum information processing. | | Source: | arXiv, 0707.2736 | | Services: | Forum | Review | PDF | Favorites | |
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