dorsal/arxiv
View SchemaModel identification for spin networks
| Authors | Francesca Albertini, Domenico D'Alessandro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307128 |
| URL | https://arxiv.org/abs/quant-ph/0307128 |
Abstract
We consider the problem of determining the unknown parameters of the Hamiltonian of a network of spin 1/2 particles. In particular, we study experiments in which the system is driven by an externally applied electro-magnetic field and the expectation value of the total magnetization is measured. Under appropriate assumptions, we prove that, if it is possible to prepare the system in a known initial state, the above experiment allows to identify the parameters of the Hamiltonian. In the case where the initial state is itself an unknown parameter, we characterize all the pairs Hamiltonian-Initial State which give the same value of the magnetization for every form of the driving electro-magnetic field. The analysis is motivated by recent results on the isospectrality of Hamiltonians describing Magnetic Molecules.
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"abstract": "We consider the problem of determining the unknown parameters of the\nHamiltonian of a network of spin 1/2 particles. In particular, we study\nexperiments in which the system is driven by an externally applied\nelectro-magnetic field and the expectation value of the total magnetization is\nmeasured. Under appropriate assumptions, we prove that, if it is possible to\nprepare the system in a known initial state, the above experiment allows to\nidentify the parameters of the Hamiltonian. In the case where the initial state\nis itself an unknown parameter, we characterize all the pairs\nHamiltonian-Initial State which give the same value of the magnetization for\nevery form of the driving electro-magnetic field. The analysis is motivated by\nrecent results on the isospectrality of Hamiltonians describing Magnetic\nMolecules.",
"arxiv_id": "quant-ph/0307128",
"authors": [
"Francesca Albertini",
"Domenico D\u0027Alessandro"
],
"categories": [
"quant-ph"
],
"title": "Model identification for spin networks",
"url": "https://arxiv.org/abs/quant-ph/0307128"
},
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