dorsal/arxiv
View SchemaAdiabatic Condition for Nonlinear Systems
| Authors | Han Pu, Peter Maenner, Weiping Zhang, Hong Y. Ling |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605202 |
| URL | https://arxiv.org/abs/quant-ph/0605202 |
| DOI | 10.1103/PhysRevLett.98.050406 |
Abstract
We revisit the adiabatic criterion in stimulated Raman adiabatic passage for the three-level $\Lambda$-system, and compare the situation with and without nonlinearity. In linear systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues and eigenstates of the Hamiltonian, a procedure that breaks down in the presence of nonlinearity. Using an explicit example relevant to photoassociation of atoms into diatomic molecules, we demonstrate that the proper way to derive the adiabatic condition for the nonlinear systems is through a linearization procedure.
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"abstract": "We revisit the adiabatic criterion in stimulated Raman adiabatic passage for\nthe three-level $\\Lambda$-system, and compare the situation with and without\nnonlinearity. In linear systems, the adiabatic condition is derived with the\nhelp of the instantaneous eigenvalues and eigenstates of the Hamiltonian, a\nprocedure that breaks down in the presence of nonlinearity. Using an explicit\nexample relevant to photoassociation of atoms into diatomic molecules, we\ndemonstrate that the proper way to derive the adiabatic condition for the\nnonlinear systems is through a linearization procedure.",
"arxiv_id": "quant-ph/0605202",
"authors": [
"Han Pu",
"Peter Maenner",
"Weiping Zhang",
"Hong Y. Ling"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.050406",
"title": "Adiabatic Condition for Nonlinear Systems",
"url": "https://arxiv.org/abs/quant-ph/0605202"
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