Numerical simulation of free dissipative open quantum system and establishment of a formula for π
Abstract
We transform the system/reservoir coupling model into a one-dimensional semi-infinite discrete chain with nearest neighbor interaction through a unitary transformation, and, simulate the dynamics of free dissipative open quantum system. We investigate the consequences of such modeling, which is observed as finite size effect causing the recurrence of particle from the end of the chain. Afterwards, we determine a formula for π in terms of the matrix operational form, which indicates a robustness of the connection between quantum physics and basic mathematics.
Main Author
Format
Conferences
Conference paper
Published
2020
Series
Subjects
Publication in research information system
Publisher
American Institute of Physics
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202005063070Use this for linking
Parent publication ISBN
978-0-7354-1976-6
Review status
Peer reviewed
ISSN
0094-243X
DOI
https://doi.org/10.1063/5.0001282
Conference
International Conference on Condensed Matter and Applied Physics
Language
English
Published in
AIP Conference Proceedings
Is part of publication
ICC-2019 : 3rd International Conference on Condensed Matter and Applied Physics
Citation
- Agasti, S. (2020). Numerical simulation of free dissipative open quantum system and establishment of a formula for π. In M. S. Shekhawat, S. Bhardwaj, & B. Suthar (Eds.), ICC-2019 : 3rd International Conference on Condensed Matter and Applied Physics (Article 130010). American Institute of Physics. AIP Conference Proceedings, 2220. https://doi.org/10.1063/5.0001282
License
Funder(s)
Research Council of Finland
Funding program(s)
Academy Research Fellow, AoF
Akatemiatutkija, SA
Additional information about funding
This work was supported by the Academy of Finland under contract no. 275245.
Copyright© 2020 Author(s)