Adiabatic Product Expansion

Details Adiabatic Product Expansion Adiabatic Product Expansion

1996-06-28

arxiv.org/abs/quant-ph/9606032v1

Phys.Lett. A228 (1997) 7-12

Physics

Quantum Physics

uuencoded LaTeX file, 8 pages

Scientific paper

10.1016/S0375-9601(97)00100-X

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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