Ab-initio low-energy dynamics of superfluid and solid 4He

Details Ab-initio low-energy dynamics of superfluid and solid 4He Ab-initio low-energy dynamics of superfluid and solid 4He

2009-05-27

arxiv.org/abs/0905.4406v4

Physics

Condensed Matter

Other Condensed Matter

15 pages, 15 figures; Accepted for publication: Phys.Rev. B 82, (2010)

Scientific paper

We have extracted information about real time dynamics of 4He systems from noisy imaginary time correlation functions f(tau) computed via Quantum Monte Carlo (QMC): production and falsification of model spectral functions s(omega) are obtained via a survival-to-compatibility with f(tau) evolutionary process, based on Genetic Algorithms. Statistical uncertainty in f(tau) is promoted to be an asset via a sampling of equivalent f(tau) within the noise, which give rise to independent evolutionary processes. In the case of pure superfluid 4He we have recovered from exact QMC simulations sharp quasi-particle excitations with spectral functions displaying also the multiphonon branch. As further applications, we have studied the impuriton branch of one 3He atom in liquid 4He and the vacancy-wave excitations in hcp solid 4He finding a novel roton like feature.

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