dorsal/arxiv
View SchemaAdiabatic Product Expansion
| Authors | Ali Mostafazadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9606032 |
| URL | https://arxiv.org/abs/quant-ph/9606032 |
| DOI | 10.1016/S0375-9601(97)00100-X |
| Journal | Phys.Lett. A228 (1997) 7-12 |
Abstract
The time-evolution operator for an explicitly time-dependent Hamiltonian is expressed as the product of a sequence of unitary operators. These are obtained by successive time-dependent unitary transformations of the Hilbert space followed by the adiabatic approximation at each step. The resulting adiabatic product expansion yields a generalization of the quantum adiabatic approximation. Furthermore, it leads to an infinite class of exactly solvable models.
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"abstract": "The time-evolution operator for an explicitly time-dependent Hamiltonian is\nexpressed as the product of a sequence of unitary operators. These are obtained\nby successive time-dependent unitary transformations of the Hilbert space\nfollowed by the adiabatic approximation at each step. The resulting adiabatic\nproduct expansion yields a generalization of the quantum adiabatic\napproximation. Furthermore, it leads to an infinite class of exactly solvable\nmodels.",
"arxiv_id": "quant-ph/9606032",
"authors": [
"Ali Mostafazadeh"
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"doi": "10.1016/S0375-9601(97)00100-X",
"journal_ref": "Phys.Lett. A228 (1997) 7-12",
"title": "Adiabatic Product Expansion",
"url": "https://arxiv.org/abs/quant-ph/9606032"
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