Dynamic correlations with time dependent quantum Monte Carlo

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1. Verfasser: Christov, Ivan P.
Format: Preprint
Veröffentlicht: 2025
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author Christov, Ivan P.
author_facet Christov, Ivan P.
contents In this paper, we solve quantum many-body problem by propagating ensembles of trajectories and guiding waves in physical space. We introduce the 'effective potential' correction within the recently proposed time-dependent quantum Monte Carlo methodology to incorporate the nonlocal quantum correlation effects between the electrons. The associated correlation length is calculated by adaptive kernel density estimation over the walker distribution. The general formalism is developed and tested on one-dimensional Helium atom in laser field of different intensity and carrier frequency. Good agreement with exact results for the atomic ionization is obtained.
format Preprint
id arxiv_https___arxiv_org_abs_2501_16072
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamic correlations with time dependent quantum Monte Carlo
Christov, Ivan P.
Quantum Physics
Computational Physics
In this paper, we solve quantum many-body problem by propagating ensembles of trajectories and guiding waves in physical space. We introduce the 'effective potential' correction within the recently proposed time-dependent quantum Monte Carlo methodology to incorporate the nonlocal quantum correlation effects between the electrons. The associated correlation length is calculated by adaptive kernel density estimation over the walker distribution. The general formalism is developed and tested on one-dimensional Helium atom in laser field of different intensity and carrier frequency. Good agreement with exact results for the atomic ionization is obtained.
title Dynamic correlations with time dependent quantum Monte Carlo
topic Quantum Physics
Computational Physics
url https://arxiv.org/abs/2501.16072