Phase shift of a rotated quantum state observed in an x-ray scattering experiment

Abstract

The rotation of the reference frame of a particle is known to lead to a phase change of its wave function proportional to its angular momentum. This can manifest itself as an angle-dependent phase shift of a photon scattered by a fixed target, when the photon state is an eigenstate of the component of total angular momentum perpendicular to the scattering plane. This phase shift has been observed in the quantum beat pattern resulting from the transient excitation of 57 Fe nuclei by synchrotron radiation. PACS numbers: 03.65.-w, 42.25.Hz, 76.80.+y, 78.70.Ck Quantum wave functions and classical wave fields reflect the symmetries of space and time that result in conservation laws and phase factors involving the conserved quantities. For example, the homogeneity of time leads to the conservation of energy and the uniformity of space leads to the conservation of total linear momentum for an isolated system. Such systems are invariant under translations in time or space, and the translated wave functions acquire phase shifts depending on the conserved values [1,2]. For simple eigenstates of energy and linear momentum,

Single-nucleus quantum beats excited by synchrotron radiation

“…The beat pattern at later times shows the expected anti-phase relationship (the response at early times is obscured by forward-scattering effects). This anti-phase relationship has also been observed in coherent Bragg scattering [24].…”

Hyperfine interactions inN61iwith synchrotron-radiation-based perturbed angular correlations

“…A similar feature has been observed for the coherent nuclear Bragg scattering. 13 The sensitivity of SR-PAC to the sign of the magnetic field suggests a simple way to distinguish between ferro-and antiferromagnetic alignments of the magnetic field in the sample. For the antiferromagnetic alignment the anisotropy is proportional to sum of two terms of Eq.…”

Intensities of Mössbauer diffractions from polycrystalline bcc57Fe

“…netic field has no analog in conventional Mössbauer spectroscopy. The origin of this asymmetry of the energy spectrum is the effect of interference between nuclear and Rayleigh scattering, in which the phase 23,24 of the polarization factor plays an important role. Notice that the phase in Eq.…”