Research output: Contribution to journal › Article › peer-review
Neutron wave-interference experiments with adiabatic passage of neutron spin through resonant coils. / Grigoriev, S. V.; Kreuger, R.; Kraan, W. H.; Mulder, F. M.; Rekveldt, M. Th.
In: Physical Review A. Atomic, Molecular, and Optical Physics, Vol. 64, No. 1, 013614, 2001.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Neutron wave-interference experiments with adiabatic passage of neutron spin through resonant coils
AU - Grigoriev, S. V.
AU - Kreuger, R.
AU - Kraan, W. H.
AU - Mulder, F. M.
AU - Rekveldt, M. Th
PY - 2001
Y1 - 2001
N2 - Neutron resonance spin echo phenomena, produced by resonance coils with adiabatic passage of the neutron spin, are investigated experimentally and theoretically. The adiabatic passage of the neutron spin through a resonance coil requires a specific configuration of the magnetic field. The solution of the Schrödinger equation, obtained for the required configuration, shows the probability of a spin-flip process; it also shows the phase shift, which the neutron experienced, when it flies through it. The precession phase inside the coil consists of three contributions in the rotating frame approach. The first, biggest contribution is the phase of the rotating frame [Formula Presented] The second is the precession phase of the neutron spin in the rotating frame since it follows adiabatically the effective field as seen in this frame. The third, smallest contribution is Berry’s phase since the magnetic field rotates over an angle approaching [Formula Presented] in this rotating frame. This rotation is followed adiabatically by the neutron spin. Finally, the amplitude of the interference pattern and the phase shift between the neutron-spin states are derived for a system consisting of two such flippers. The theoretical consideration is experimentally confirmed.
AB - Neutron resonance spin echo phenomena, produced by resonance coils with adiabatic passage of the neutron spin, are investigated experimentally and theoretically. The adiabatic passage of the neutron spin through a resonance coil requires a specific configuration of the magnetic field. The solution of the Schrödinger equation, obtained for the required configuration, shows the probability of a spin-flip process; it also shows the phase shift, which the neutron experienced, when it flies through it. The precession phase inside the coil consists of three contributions in the rotating frame approach. The first, biggest contribution is the phase of the rotating frame [Formula Presented] The second is the precession phase of the neutron spin in the rotating frame since it follows adiabatically the effective field as seen in this frame. The third, smallest contribution is Berry’s phase since the magnetic field rotates over an angle approaching [Formula Presented] in this rotating frame. This rotation is followed adiabatically by the neutron spin. Finally, the amplitude of the interference pattern and the phase shift between the neutron-spin states are derived for a system consisting of two such flippers. The theoretical consideration is experimentally confirmed.
UR - http://www.scopus.com/inward/record.url?scp=85037213996&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.64.013614
DO - 10.1103/PhysRevA.64.013614
M3 - Article
AN - SCOPUS:4243391891
VL - 64
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 1
M1 - 013614
ER -
ID: 86440354