An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere |
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Authors: | Alexander I Nesterov |
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Institution: | Departamento de Física, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, Guadalajara, CP 44420, Jalisco, Mexico |
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Abstract: | For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an optimum Hamiltonian that generates nonunitary transformations of a given initial state into a certain final state in the smallest time τ. The analysis is based on the relationship between the states of the two-dimensional subspace of the Hilbert space spanned by the initial and final states and the points of the two-dimensional complex Bloch sphere. |
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Keywords: | 03 65 Xp 03 65 Vf 03 67 Lx 02 30 Xx |
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