A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians

@article{Mostafazadeh1999ANC,
  title={A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians},
  author={Ali Mostafazadeh},
  journal={Physics Letters A},
  year={1999},
  volume={264},
  pages={11-17}
}
Abstract For a T -periodic non-Hermitian Hamiltonian H ( t ), we construct a class of adiabatic cyclic states of period T which are not eigenstates of the initial Hamiltonian H (0). We show that the corresponding adiabatic geometric phase angles are real and discuss their relationship with the conventional complex adiabatic geometric phase angles. We present a detailed calculation of the new adiabatic cyclic states and their geometric phases for a non-Hermitian analog of the spin 1/2 particle… Expand
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