The Numerical Simulation
The numerical simulation is targeting (possibly time-dependent) Hamiltonians of a system of particles, which are composed of arbitrary OQGs and TQGs:
It is useful to decompose as a sum of two possibly non-commuting terms, where
Any two-body terms commute:, This is done to make the Suzuki-Trotter expansion (ST) of the exponential operator.
Read more about this topic: Time-evolving Block Decimation
Famous quotes containing the words numerical and/or simulation:
“The terrible tabulation of the French statists brings every piece of whim and humor to be reducible also to exact numerical ratios. If one man in twenty thousand, or in thirty thousand, eats shoes, or marries his grandmother, then, in every twenty thousand, or thirty thousand, is found one man who eats shoes, or marries his grandmother.”
—Ralph Waldo Emerson (1803–1882)
“Life, as the most ancient of all metaphors insists, is a journey; and the travel book, in its deceptive simulation of the journey’s fits and starts, rehearses life’s own fragmentation. More even than the novel, it embraces the contingency of things.”
—Jonathan Raban (b. 1942)