Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States

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    Abstract

    Applicability of Feynman path integral approach to numerical simulations of quantum dynamics of an electron in real time domain is examined. Coherent quantum dynamics is demonstrated with one dimensional test cases (quantum dot models) and performance of the Trotter kernel as compared with the exact kernels is tested. Also, a novel approach for finding the ground state and other stationary sates is presented. This is based on the incoherent propagation in real time. For both approaches the Monte Carlo grid and sampling are tested and compared with regular grids and sampling. We asses the numerical prerequisites for all of the above.

    Original languageEnglish
    Pages (from-to)91-103
    Number of pages13
    JournalCommunications in Computational Physics
    Volume18
    Issue number1
    DOIs
    Publication statusPublished - 3 Jul 2015
    Publication typeA1 Journal article-refereed

    Keywords

    • incoherent propagation
    • Path integral
    • quantum dynamics
    • real time domain
    • stationary states

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

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