dorsal/arxiv
View SchemaFailure of Effective Potential Approach: Nucleus-Electron Entanglement in the He-Ion
| Authors | J. Gemmer, G. Mahler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201135 |
| URL | https://arxiv.org/abs/quant-ph/0201135 |
| DOI | 10.1209/epl/i2002-00222-0 |
Abstract
Entanglement may be considered a resource for quantum-information processing, as the origin of robust and universal equilibrium behaviour, but also as a limit to the validity of an effective potential approach, in which the influence of certain interacting subsystems is treated as a potential. Here we show that a closed three particle (two protons, one electron) model of a He-ion featuring realistic size, interactions and energy scales of electron and nucleus, respectively, exhibits different types of dynamics depending on the initial state: For some cases the traditional approach, in which the nucleus only appears as the center of a Coulomb potential, is valid, in others this approach fails due to entanglement arising on a short time-scale. Eventually the system can even show signatures of thermodynamical behaviour, i.e. the electron may relax to a maximum local entropy state which is, to some extent, independent of the details of the initial state.
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"abstract": "Entanglement may be considered a resource for quantum-information processing,\nas the origin of robust and universal equilibrium behaviour, but also as a\nlimit to the validity of an effective potential approach, in which the\ninfluence of certain interacting subsystems is treated as a potential. Here we\nshow that a closed three particle (two protons, one electron) model of a He-ion\nfeaturing realistic size, interactions and energy scales of electron and\nnucleus, respectively, exhibits different types of dynamics depending on the\ninitial state: For some cases the traditional approach, in which the nucleus\nonly appears as the center of a Coulomb potential, is valid, in others this\napproach fails due to entanglement arising on a short time-scale. Eventually\nthe system can even show signatures of thermodynamical behaviour, i.e. the\nelectron may relax to a maximum local entropy state which is, to some extent,\nindependent of the details of the initial state.",
"arxiv_id": "quant-ph/0201135",
"authors": [
"J. Gemmer",
"G. Mahler"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/epl/i2002-00222-0",
"title": "Failure of Effective Potential Approach: Nucleus-Electron Entanglement in the He-Ion",
"url": "https://arxiv.org/abs/quant-ph/0201135"
},
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