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Unfortunately the physical meaning of imaginary time is not clear.
Our algorithm uses high-order imaginary time propagators to project out the eigenfunctions.
A forward time step, single product fourth-order factorization of the imaginary time evolution operator can also be used.
The method can accurately calculate the imaginary-time evolution for an infinite system size, where τ is an imaginary time, is an initial state and denotes the norm of the state.
Imaginary time evolution gives rise to a Markov semigroup on a configuration space of the classical spin system.
In this work, we show that for a grid based algorithm, imaginary time propagation of any even order can be devised on the basis of multi-product splitting.
The eigenvalue-function pair of the 3D Schrödinger equation can be efficiently computed by use of high order, imaginary time propagators.
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AIPIMD simulations were also performed using 16 imaginary time-slices (known as beads) propagated by Langevin dynamics at 85 K and forces computed on-the-fly using DFT.
torture, Tertullian, bores, the contractual theory of medieval kingship, and odd place-names". In general, the all-male group shared a longing for that half-imaginary time before man's alienation from God, nature and self, the time before the chaos and materialism of the post-industrial era had displaced the elegantly organized cosmos of the Middle Ages.
The quantum string method first locates the minimal action path (MAP), which is a smooth curve connecting two minima of the imaginary-time action in the space of imaginary-time trajectories.
In particular, we consider algorithms involving real- and imaginary-time propagation based on a split-step Crank Nicolson method.
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