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Computing quantum dynamics: towards fighting against multiscales and high dimensionality
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Reporter:
Zhennan Zhou, Assistant Professor, Beijing International Center for Mathematical Research, Peking University
Inviter:
Chuchu Chen, Associate Professor
Subject:
Computing quantum dynamics: towards fighting against multiscales and high dimensionality
Time and place:
16:00-17:00 June 8 (Thursday) , Lecture hall on the first floor of Siyuan Building
Abstract:

We develop a Monte Carlo algorithm named the Frozen Gaussian Sampling (FGS) to solve the semiclassical Schrodinger equation based on the frozen Gaussian approximation. Due to the highly oscillatory structure of the wave function,traditional mesh-based algorithms suffer from “the curse of dimensionality”, which gives rise to more severe computational burden when the semiclassical parameter issmall. The Frozen Gaussian sampling outperforms the existing algorithms in that it is mesh-free in computing the physical observables and is suitable for high dimensional problems. We also discussion the extension of the FGS approach to the mixed quantum-classical dynamical models.