Phys. Rev. A 53, 2053–2058 (1996)Cyclic quantum-evolution dependence on the Hamiltonian and geometric phaseReceived 17 August 1995; published in the issue dated April 1996 Recently we showed that quantum cyclic evolution occurs, provided the initial wave function was one of the eigenfunctions of the evolution operator, whatever the concrete form of the Hamiltonian [Phys. Rev. A 50, 5317 (1994)]. This paper will show that, for some specific Hamiltonians, cyclic evolution may occur, even if the initial wave function is not one of the eigenfunctions of the evolution operator. The general conditions for the occurrence of cyclic evolution is derived. Several interesting examples of quantum evolution, also including noncyclic evolution, and some specific geometric phases are given. © 1996 The American Physical Society. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.53.2053
DOI:
10.1103/PhysRevA.53.2053
PACS:
03.65.Bz
See AlsoComment: Ali Mostafazadeh, Comment on ``Cyclic quantum-evolution dependence on the Hamiltonian and geometric phase'', Phys. Rev. A 55, 4640 (1997). Reply: Lian-Ao Wu, Reply to “Comment on ‘Cyclic quantum-evolution dependence on the Hamiltonian and geometrical phase’ ”, Phys. Rev. A 56, 2481 (1997). |
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