dorsal/arxiv
View SchemaHow to Probe for Dynamical Structure in the Collapse of Entangled States Using Nuclear Magnetic Resonance
| Authors | Daniel I. Fivel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706002 |
| URL | https://arxiv.org/abs/quant-ph/9706002 |
| DOI | 10.1016/S0375-9601(98)00661-6 |
| Journal | Phys.Lett. A248 (1998) 139-144 |
Abstract
The spin state of two magnetically inequivalent protons in contiguous atoms of a molecule becomes entangeled by the indirect spin-spin interaction (j-coupling). The degree of entanglement oscillates at the beat frequency resulting from the splitting of a degeneracy. This beating is manifest in NMR spectroscopy as an envelope of the transverse magnetization and should be visible in the free induction decay signal. The period (approximately 1 sec) is long enough for interference between the linear dynamics and collapse of the wave-function induced by a Stern-Gerlach inhomogeneity to significantly alter the shape of that envelope. Various dynamical collapse theories can be distinguished by their observably different predictions with respect to this alteration. Adverse effects of detuning due to the Stern-Gerlach inhomogeneity can be reduced to an acceptable level by having a sufficiently thin sample or a strong rf field.
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"abstract": "The spin state of two magnetically inequivalent protons in contiguous atoms\nof a molecule becomes entangeled by the indirect spin-spin interaction\n(j-coupling). The degree of entanglement oscillates at the beat frequency\nresulting from the splitting of a degeneracy. This beating is manifest in NMR\nspectroscopy as an envelope of the transverse magnetization and should be\nvisible in the free induction decay signal. The period (approximately 1 sec) is\nlong enough for interference between the linear dynamics and collapse of the\nwave-function induced by a Stern-Gerlach inhomogeneity to significantly alter\nthe shape of that envelope. Various dynamical collapse theories can be\ndistinguished by their observably different predictions with respect to this\nalteration. Adverse effects of detuning due to the Stern-Gerlach inhomogeneity\ncan be reduced to an acceptable level by having a sufficiently thin sample or a\nstrong rf field.",
"arxiv_id": "quant-ph/9706002",
"authors": [
"Daniel I. Fivel"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(98)00661-6",
"journal_ref": "Phys.Lett. A248 (1998) 139-144",
"title": "How to Probe for Dynamical Structure in the Collapse of Entangled States Using Nuclear Magnetic Resonance",
"url": "https://arxiv.org/abs/quant-ph/9706002"
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