Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States

Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States

Year:    2015

Author:    Ilkka Ruokosenmäki, Tapio T. Rantala

Communications in Computational Physics, Vol. 18 (2015), Iss. 1 : pp. 91–103

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.180914.161214a

Communications in Computational Physics, Vol. 18 (2015), Iss. 1 : pp. 91–103

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

Author Details

Ilkka Ruokosenmäki

Tapio T. Rantala