A New Class of Adiabatic Cyclic States and Geometric Phases for Non-Hermitian Hamiltonians

Details A New Class of Adiabatic Cyclic States and Geometric Phases for Non-Hermitian Hamiltonians A New Class of Adiabatic Cyclic States and Geometric Phases for Non-Hermitian Hamiltonians

1999-11-03

arxiv.org/abs/quant-ph/9911003v1

Phys. Lett. A 264 (1999) 11-17

Physics

Quantum Physics

Plain Latex, accepted for publication in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(99)00790-2

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 in a precessing magnetic field.

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