Europhysics Letters
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| Title | A quantum-mechanical description of Rotating Field Spin Echo |
| Author | N. Arend, W. Hauss ler |
| Abstract | Neutron Spin Echo (NSE) is a technique for quasi-elastic neutron scattering with very high energy resolution. The latter is achieved by comparing the Larmor precession angles of a polarized neutron beam in two well-known magnetic fields before and after scattering in a sample. This “spin encoding” or “Larmor labeling” can be implemented by different technical methods, the most established variants being conventional NSE and Neutron Resonance Spin Echo (NRSE). In this publication we discuss Rotating Field Spin Echo (RFSE), a technique for measurements in the low-resolution domain. The analogy to NRSE is demonstrated by deriving the working principle using the quantum-mechanical method of time-evolution operators, a technique that was developed for NRSE in previous publications. Furthermore, we give an estimation of the inherent upper frequency limit of RFSE based on our theory. |
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| References | [1] Mezei F., Z. Phys., 255 (1972) 146. [2] Gahler R. ¨ and Golub R., Z. Phys. B, 65 (1987) 269. [3] Keller T., H¨ochstaufl¨osende Neutronenspektrometer auf der Basis von Spinflippern - neue Varianten des SpinechoPrinzips, PhD Thesis, Fakult¨at f¨ur Physik der Technischen Universit¨at M¨unchen, Germany (July 1993). [4] Keller T., Golub R. and Gahler R. ¨ , Neutron spin echo - a technique for high-resolution neutron scattering, in Scattering and Inverse Scattering in Pure and Applied Science, edited by Pike R. and Sabatier P (Academic Press, San Diego, Cal.) 2002, pp. 1264–86. [5] Haußler W. ¨ , Weiterentwicklung, Aufbau und Test eines Resonanzspinecho-Spektrometers zum Einsatz eines Multidetektors, PhD Thesis, NaturwissenschaftlichMathematische Gesamtfakult¨at der Ruprecht-KarlsUniversit¨at Heidelberg, Germany (April 1998). [6] Arend N., New Aspects of the MIEZE Technique and Verification of the Multi-level MIEZE Principle, PhD Thesis, Fakult¨at f¨ur Physik der Technischen Universit¨at M¨unchen, Germany (June 2007). [7] Ioffe A., Physica B, 335 (2003) 169. [8] Ioffe A. and Manoshin S., Nucl. Instrum. Methods, 529 (2004) 45. [9] Haußler W., Schmidt U., Ehlers G. ¨ and Mezei F., Chem. Phys., 292 (2003) 501. [10] Rabi I. I., Ramsey N. F. and Schwinger J., Rev. Mod. Phys., 26 (1954) 167. [11] Schmidt U., Experimente mit polarisierten Neutronen zu Fragen der h¨ochstaufl¨osenden Spektrometrie und Quantenoptik, PhD Thesis, Fakult¨at f¨ur Physik der Technischen Universit¨at M¨unchen, Germany (February 1995). [12] Arend N. and Haußler W. ¨ , An alternative quantummechanical description of Resonance Spin Echo and MIEZE, submitted to Nucl. Instrum. Methods A. [13] Bodnarchuk V. I., Kraan W. H., Rekveldt M. T. and Ioffe A., Meas. Sci. Technol., 29 (2008). [14] Pynn R., Physica B, 356 (2005) 178. [15] Haußler W. ¨ and Schmidt U., Phys. Chem. Chem. Phys., 7 (2005) 1245. |
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