dorsal/arxiv
View SchemaExactly solvable approximating models for Rabi Hamiltonian dynamics
| Authors | Andrey Pereverzev, Eric R. Bittner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510225 |
| URL | https://arxiv.org/abs/quant-ph/0510225 |
| DOI | 10.1039/B517470H |
Abstract
The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable Hamiltonians that approximate the Rabi Hamiltonian and compare our results to the Jaynes-Cummings model which neglects the so-called counter-rotating term in the Rabi Hamiltonian. Through a unitary transformation that diagonlizes the Jaynes-Cummings model, we transform the counter-rotating term into separate terms representing several different physical processes. By keeping only certain terms, we can achieve an excellent approximation to the exact dynamics within specified parameter ranges.
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"abstract": "The interaction between an atom and a one mode external driving field is an\nubiquitous problem in many branches of physics and is often modeled using the\nRabi Hamiltonian. In this paper we present a series of analytically solvable\nHamiltonians that approximate the Rabi Hamiltonian and compare our results to\nthe Jaynes-Cummings model which neglects the so-called counter-rotating term in\nthe Rabi Hamiltonian. Through a unitary transformation that diagonlizes the\nJaynes-Cummings model, we transform the counter-rotating term into separate\nterms representing several different physical processes. By keeping only\ncertain terms, we can achieve an excellent approximation to the exact dynamics\nwithin specified parameter ranges.",
"arxiv_id": "quant-ph/0510225",
"authors": [
"Andrey Pereverzev",
"Eric R. Bittner"
],
"categories": [
"quant-ph"
],
"doi": "10.1039/B517470H",
"title": "Exactly solvable approximating models for Rabi Hamiltonian dynamics",
"url": "https://arxiv.org/abs/quant-ph/0510225"
},
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"execution_id": "e0dde493-2e03-4f59-a4a5-93fbc69467ee",
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"type": "Model",
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