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Comment on “Noncommutation of Pauli spin operators in neutron polarimetry” by Y. Hasegawa et al

Apoorva G. Wagh

Physics Letters AJan 1, 19991 citation

Violation of a Bell-like inequality for spin-energy entanglement in neutron polarimetry

Stephan Sponar, Jürgen Klepp, C. Zeiner +2 more

arXiv:0907.4654Physics Letters ANov 12, 200916 citations

Non-Cyclic Geometric Phases in Mixed State Neutron Polarimetry

Stephan Sponar, Jürgen Klepp, Yuji Hasegawa +2 more

Acta Physica Hungarica A) Heavy Ion PhysicsNov 1, 20061 citation

Noncommuting spinor rotation due to balanced geometrical and dynamical phases

Yuji Hasegawa, G. Badurek

A neutron polarimetric textbook experiment is performed to demonstrate the noncommutation properties of the Pauli spin operator. The polarization of the transmitted neutron beam depends upon the sequential order of two successive spin-flip devices with mutually inclined precession axes. Furthermore, an interpretation of the observed results is presented in terms of an intrinsic phase shift between two interfering mutually orthogonal spin states, which in a sequence of two successive spinor transformations stores particular information about the intermediate state. This phase shift is discussed with respect to its geometrical and dynamical components, and its formal connection with the noncommuting properties of Pauli spin operators is explicitly shown.A neutron polarimetric textbook experiment is performed to demonstrate the noncommutation properties of the Pauli spin operator. The polarization of the transmitted neutron beam depends upon the sequential order of two successive spin-flip devices with mutually inclined precession axes. Furthermore, an interpretation of the observed results is presented in terms of an intrinsic phase shift between two interfering mutually orthogonal spin states, which in a sequence of two successive spinor transformations stores particular information about the intermediate state. This phase shift is discussed with respect to its geometrical and dynamical components, and its formal connection with the noncommuting properties of Pauli spin operators is explicitly shown.

Physical Review AJun 1, 199915 citations

Neutron spin interferometry

В. Г. Барышевский, С. В. Черепица, Aleksandr I Frank

Physics Letters AMar 1, 199125 citations

Measurement of the spin–rotation coupling in neutron polarimetry

Bülent Demirel, Stephan Sponar, Yuji Hasegawa

The effect of spin–rotation coupling is measured for the first time with neutrons. The coupling of spin with the angular velocity of a rotating spin turner can be observed as a phase shift in a neutron polarimeter set-up. After the neutron's spin is rotated by 2 π through a rotating magnetic field, different phase shifts are induced for 'up' and 'down' spin eigenstates. This phase difference results in the rotation of the neutron's spin-vector, which turns out to depend solely on the frequency of the rotation of the magnetic field. The experimental results agree well with the solutions acquired by the Pauli–Schrödinger equation.The effect of spin–rotation coupling is measured for the first time with neutrons. The coupling of spin with the angular velocity of a rotating spin turner can be observed as a phase shift in a neutron polarimeter set-up. After the neutron's spin is rotated by 2 π through a rotating magnetic field, different phase shifts are induced for 'up' and 'down' spin eigenstates. This phase difference results in the rotation of the neutron's spin-vector, which turns out to depend solely on the frequency of the rotation of the magnetic field. The experimental results agree well with the solutions acquired by the Pauli–Schrödinger equation.

New Journal of PhysicsFeb 24, 201520 citations

Noncommutation of Pauli spin operators in neutron polarimetry

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