dorsal/arxiv
View SchemaElliptic Rydberg states as direction indicators
| Authors | Netanel H. Lindner, Asher Peres, Daniel R. Terno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305171 |
| URL | https://arxiv.org/abs/quant-ph/0305171 |
| DOI | 10.1103/PhysRevA.68.042308 |
| Journal | Phys. Rev. A 68, 042308 (2003) |
Abstract
The orientation in space of a Cartesian coordinate system can be indicated by the two vectorial constants of motion of a classical Keplerian orbit: the angular momentum and the Laplace-Runge-Lenz vector. In quantum mechanics, the states of a hydrogen atom that mimic classical elliptic orbits are the coherent states of the SO(4) rotation group.It is known how to produce these states experimentally. They have minimal dispersions of the two conserved vectors and can be used as direction indicators. We compare the fidelity of this transmission method with that of the idealized optimal method.
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"abstract": "The orientation in space of a Cartesian coordinate system can be indicated by\nthe two vectorial constants of motion of a classical Keplerian orbit: the\nangular momentum and the Laplace-Runge-Lenz vector. In quantum mechanics, the\nstates of a hydrogen atom that mimic classical elliptic orbits are the coherent\nstates of the SO(4) rotation group.It is known how to produce these states\nexperimentally. They have minimal dispersions of the two conserved vectors and\ncan be used as direction indicators. We compare the fidelity of this\ntransmission method with that of the idealized optimal method.",
"arxiv_id": "quant-ph/0305171",
"authors": [
"Netanel H. Lindner",
"Asher Peres",
"Daniel R. Terno"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.042308",
"journal_ref": "Phys. Rev. A 68, 042308 (2003)",
"title": "Elliptic Rydberg states as direction indicators",
"url": "https://arxiv.org/abs/quant-ph/0305171"
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