Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session G70: Poster Session I (2:00pm-5:00pm)
Tuesday, March 5, 2019
BCEC Room: Exhibit Hall
Abstract: G70.00291 : Optimized higher-order Lie-Trotter-Suzuki decompositions for two and more terms
Good higher-order decompositions for exponentials of n=2 non-commuting operators are well-known. These cover one-dimensional quantum systems with nearest-neighbor interactions. We present some optimized decompositions for n=2 and new higher-order decompositions for n=3,4 which are needed for one-dimensional systems with longer-ranged interactions or quantum systems in higher dimensions. The ordering of operators in the decompositions turns out to have substantial influence on the attainable approximation order and magnitudes of the leading error terms.
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