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Adiabatic Product Expansion

Ali Mostafazadeh
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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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Ali Mostafazadeh. 1996-06-28. Adiabatic Product Expansion. https://doi.org/10.1016/s0375-9601(97)00100-x

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