dorsal/arxiv
View SchemaMeasuring Pancharatnam's relative phase for SO(3) evolutions using spin polarimetry
| Authors | Peter Larsson, Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305083 |
| URL | https://arxiv.org/abs/quant-ph/0305083 |
| DOI | 10.1103/PhysRevA.68.042109 |
| Journal | Phys. Rev. A 68, 042109 (2003) |
Abstract
In polarimetry, a superposition of internal quantal states is exposed to a single Hamiltonian and information about the evolution of the quantal states is inferred from projection measurements on the final superposition. In this framework, we here extend the polarimetric test of Pancharatnam's relative phase for spin$-{1/2}$ proposed by Wagh and Rakhecha [Phys. Lett. A {\bf 197}, 112 (1995)] to spin $j\geq 1$ undergoing noncyclic SO(3) evolution. We demonstrate that the output intensity for higher spin values is a polynomial function of the corresponding spin$-{1/2}$ intensity. We further propose a general method to extract the noncyclic SO(3) phase and visibility by rigid translation of two $\pi /2$ spin flippers. Polarimetry on higher spin states may in practice be done with spin polarized atomic beams.
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"abstract": "In polarimetry, a superposition of internal quantal states is exposed to a\nsingle Hamiltonian and information about the evolution of the quantal states is\ninferred from projection measurements on the final superposition. In this\nframework, we here extend the polarimetric test of Pancharatnam\u0027s relative\nphase for spin$-{1/2}$ proposed by Wagh and Rakhecha [Phys. Lett. A {\\bf 197},\n112 (1995)] to spin $j\\geq 1$ undergoing noncyclic SO(3) evolution. We\ndemonstrate that the output intensity for higher spin values is a polynomial\nfunction of the corresponding spin$-{1/2}$ intensity. We further propose a\ngeneral method to extract the noncyclic SO(3) phase and visibility by rigid\ntranslation of two $\\pi /2$ spin flippers. Polarimetry on higher spin states\nmay in practice be done with spin polarized atomic beams.",
"arxiv_id": "quant-ph/0305083",
"authors": [
"Peter Larsson",
"Erik Sj\u00f6qvist"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.042109",
"journal_ref": "Phys. Rev. A 68, 042109 (2003)",
"title": "Measuring Pancharatnam\u0027s relative phase for SO(3) evolutions using spin polarimetry",
"url": "https://arxiv.org/abs/quant-ph/0305083"
},
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