MEASUREMENT OF TIME-DEPENDENT QUANTUM PHASES

作者：BARUT AO^*; BOZIC M; KLARSFELD S; MARIC Z

来源：Physical Review A, 1993, 47(4): 2581-2591.

DOI：10.1103/PhysRevA.47.2581

We evaluate the exact (Pancharatnam) Phase differences between the final state \phi(t)] and various initial states for a spin-1/2 particle in a rotating magnetic field B(t). For initial states \n;B(ef)(0)], which are eigenstates of the spin component along the direction of the initial effective field B(ef)(0), the exact phase has an energy-dependent part and an energy-independent part. It is shown that these states \n;B(ef)(0)] are cyclic and their corresponding Aharonov-Anandan phases are evaluated. In the adiabatic limit we discuss different choices of time-dependent bases and the relationship between the exact phase, the Born-Fock-Schiff phase, and Berry's phase. We propose neutron interference experiments to test separately the exact and the adiabatic evolution laws, as well as to measure exact and adiabatic time-dependent phases.

• 出版日期1993-4