dorsal/arxiv
View SchemaEffective Hamiltonian approach to adiabatic approximation in open systems
| Authors | X. X. Yi, D. M. Tong, L. C. Kwek, C. H. OH |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606203 |
| URL | https://arxiv.org/abs/quant-ph/0606203 |
| DOI | 10.1088/0953-4075/40/2/004 |
| Journal | J. Phys. B 40,281(2007). |
Abstract
The adiabatic approximation in open systems is formulated through the effective Hamiltonian approach. By introducing an ancilla, we embed the open system dynamics into a non-Hermitian quantum dynamics of a composite system, the adiabatic evolution of the open system is then defined as the adiabatic dynamics of the composite system. Validity and invalidity conditions for this approximation are established and discussed. A High-order adiabatic approximation for open systems is introduced. As an example, the adiabatic condition for an open spin-$\frac 1 2$ particle in time-dependent magnetic fields is analyzed.
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"abstract": "The adiabatic approximation in open systems is formulated through the\neffective Hamiltonian approach. By introducing an ancilla, we embed the open\nsystem dynamics into a non-Hermitian quantum dynamics of a composite system,\nthe adiabatic evolution of the open system is then defined as the adiabatic\ndynamics of the composite system. Validity and invalidity conditions for this\napproximation are established and discussed. A High-order adiabatic\napproximation for open systems is introduced. As an example, the adiabatic\ncondition for an open spin-$\\frac 1 2$ particle in time-dependent magnetic\nfields is analyzed.",
"arxiv_id": "quant-ph/0606203",
"authors": [
"X. X. Yi",
"D. M. Tong",
"L. C. Kwek",
"C. H. OH"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0953-4075/40/2/004",
"journal_ref": "J. Phys. B 40,281(2007).",
"title": "Effective Hamiltonian approach to adiabatic approximation in open systems",
"url": "https://arxiv.org/abs/quant-ph/0606203"
},
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