dorsal/arxiv
View SchemaAspects of Two-Level Systems under External Time Dependent Fields
| Authors | V. G. Bagrov, J. C. A. Barata, D. M. Gitman, W. F. Wreszinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112016 |
| URL | https://arxiv.org/abs/quant-ph/0112016 |
| DOI | 10.1088/0305-4470/35/1/501 |
| Journal | J.Phys.A35:175,2002 |
Abstract
The dynamics of two-level systems in time-dependent backgrounds is under consideration. We present some new exact solutions in special backgrounds decaying in time. On the other hand, following ideas of Feynman, Vernon and Hellwarth, we discuss in detail the possibility to reduce the quantum dynamics to a classical Hamiltonian system. This, in particular, opens the possibility to directly apply powerful methods of classical mechanics (e.g. KAM methods) to study the quantum system. Following such an approach, we draw conclusions of relevance for ``quantum chaos'' when the external background is periodic or quasi-periodic in time.
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"abstract": "The dynamics of two-level systems in time-dependent backgrounds is under\nconsideration. We present some new exact solutions in special backgrounds\ndecaying in time. On the other hand, following ideas of Feynman, Vernon and\nHellwarth, we discuss in detail the possibility to reduce the quantum dynamics\nto a classical Hamiltonian system. This, in particular, opens the possibility\nto directly apply powerful methods of classical mechanics (e.g. KAM methods) to\nstudy the quantum system. Following such an approach, we draw conclusions of\nrelevance for ``quantum chaos\u0027\u0027 when the external background is periodic or\nquasi-periodic in time.",
"arxiv_id": "quant-ph/0112016",
"authors": [
"V. G. Bagrov",
"J. C. A. Barata",
"D. M. Gitman",
"W. F. Wreszinski"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP",
"physics.optics"
],
"doi": "10.1088/0305-4470/35/1/501",
"journal_ref": "J.Phys.A35:175,2002",
"title": "Aspects of Two-Level Systems under External Time Dependent Fields",
"url": "https://arxiv.org/abs/quant-ph/0112016"
},
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