dorsal/arxiv
View SchemaExact time-dependent decoherence factor and its adiabatic classical limit
| Authors | Jian-Qi Shen, Pan Chen, Hong Mao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302119 |
| URL | https://arxiv.org/abs/quant-ph/0302119 |
| DOI | 10.1139/p03-088 |
| Journal | Can. J. Phys. vol.81 (10): 1185-1191 (2003) |
Abstract
The present paper finds the complete set of exact solutions of the general time-dependent dynamical models for quantum decoherence, by making use of the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation formulation. Based on this, the general explicit expression for the decoherence factor is then obtained and the adiabatic classical limit of an illustrative example is discussed. The result (i.e., the adiabatic classical limit) obtained in this paper is consistent with what obtained by other authors, and futhermore we obtain the more general results concerning the time-dependent non-adiabatic quantum decoherence. It is shown that the invariant theory is appropriate for treating both the time-dependent quantum decoherence and the geometric phase factor.
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"abstract": "The present paper finds the complete set of exact solutions of the general\ntime-dependent dynamical models for quantum decoherence, by making use of the\nLewis-Riesenfeld invariant theory and the invariant-related unitary\ntransformation formulation. Based on this, the general explicit expression for\nthe decoherence factor is then obtained and the adiabatic classical limit of an\nillustrative example is discussed. The result (i.e., the adiabatic classical\nlimit) obtained in this paper is consistent with what obtained by other\nauthors, and futhermore we obtain the more general results concerning the\ntime-dependent non-adiabatic quantum decoherence. It is shown that the\ninvariant theory is appropriate for treating both the time-dependent quantum\ndecoherence and the geometric phase factor.",
"arxiv_id": "quant-ph/0302119",
"authors": [
"Jian-Qi Shen",
"Pan Chen",
"Hong Mao"
],
"categories": [
"quant-ph"
],
"doi": "10.1139/p03-088",
"journal_ref": "Can. J. Phys. vol.81 (10): 1185-1191 (2003)",
"title": "Exact time-dependent decoherence factor and its adiabatic classical limit",
"url": "https://arxiv.org/abs/quant-ph/0302119"
},
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