Neutron Interferometric Observation of Noncyclic Phase

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Interferometric phase-dispersion microscopy.

We describe a new scanning microscopy technique, phase-dispersion microscopy (PDM). The technique is based on measuring the phase difference between the fundamental and the second-harmonic light in a novel interferometer. PDM is highly sensitive to subtle refractive-index differences that are due to dispersion (differential optical path sensitivity, 5 nm). We apply PDM to measure minute amounts...

Noncyclic Geometric Phase and Its Non-Abelian Generalization

We use the theory of dynamical invariants to yield a simple derivation of noncyclic analogues of the Abelian and non-Abelian geometric phases. This derivation relies only on the principle of gauge invariance and elucidates the existing definitions of the Abelian noncyclic geometric phase. We also discuss the adiabatic limit of the noncyclic geometric phase and compute the adiabatic non-Abelian ...

Observation of the Phase Shift of a Neutron Due to Precession in a Magnetic Field

It is well known that the operator for rotation through 2m radians for a fermion causes a reversal of the sign of the wave function. We have directly observed this effect for neutrons precessing in a magnetic field using an interferometer of the type first developed for x rays by Bonse and Hart. ' This experiment was first suggested by Bernstein2 in 1967. At nearly the same time the possibility...

Precision neutron-interferometric measurement of the coherent neutron-scattering length in silicon

A. Ioffe,* D. L. Jacobson, M. Arif, M. Vrana, S. A. Werner, P. Fischer, G. L. Greene, and F. Mezei Berlin Neutron Scattering Center, Hahn-Meitner-Institut, Glienicker Strasse 100, 14109 Berlin, Germany St. Petersburg Nuclear Physics Institute, Gatchina, Leningrad District 188350, Russia National Institute of Standards and Technology, Gaithersburg, Maryland 20899 Nuclear Physics Institute of CAS...