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arXiv:quant-ph/0002015

Reply to "Comment on 'Quantum Phase Shift Caused by Spatial Confinement'" by Murray Peshkin

Brendan E. Allman, Alberto Cimmino, Andrew G. Klein

Published Feb 4, 2000• 0 citations
arXivHTMLPDF

Abstract

We describe a force-free phase shift due only to temporal geometric boundary conditions placed on a neutron deBroglie wave packet.
DOI
10.48550/arxiv.quant-ph/0002015

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Journal of the Physical Society of Japan•Jan 1, 2003•1 citation
A phase shifter in neutron interferometry creates not only a phase shift but also a spatial displacement of the neutron wave packet, leading to a reduced interference contrast. This wave-packet displacement constitutes a major hindrance in measuring large phase shifts. Here we present a nondispersive configuration with two identical phase shifters placed on one path in successive gaps of a symmetric triple Laue (LLL) interferometer. As compared to a single phase shifter, the dual phase shifter generates double the phase shift, yet a net null displacement of the wave packet. The interferometer thus remains fully focused however large the phase shift or the incident wavelength spread, permitting a white incident neutron beam as in the case of a purely topological phase measurement. Misalignment angles of a monolithic nondispersive dual phase shifter are equal and opposite in the two gaps. Its phase therefore remains nondispersive over a much wider angular range and attains a minimum magnitude at the correct orientation, obviating the need to alternate the phase shifter between the two interferometer paths during its alignment. The setup is hence ideally suited for measuring neutron coherent scattering lengths to ultrahigh precision.
A double-loop perfect crystal neutron interferometer has been used for novel quantum state reconstruction experiments. For the measurement of combined spatial and momentum distributions a quadrature method has been used which permits the reconstruction of the related Wigner function. When neutrons pass through narrow slits the transverse momentum quantization causes a confinement-induced phase shift which has been measured by neutron inter-ferometry. The related wave fields for reflecting and absorbing walls have been calculated and mapped in form of wave carpets. It is of interest to note that just those neutrons contribute to the phase shift which classically do not touch the walls. In another set-up installed at the pulsed neutron spallation source ISIS neutrons can be trapped between perfect crystal plates for several seconds. This enables a multiple passage of the same neutron through a spin rotation unit, which provides the basis for new Zeno-effect experiments. Unavoidable quantum losses will be discussed and it will be shown how they become relevant for the quantum measuring process.