A4 Article in conference proceedings
Numerical simulation of free dissipative open quantum system and establishment of a formula for π (2020)


Agasti, Souvik (2020). Numerical simulation of free dissipative open quantum system and establishment of a formula for π. In Shekhawat, Manoj Singh; Bhardwaj, Sudhir; Suthar, Bhuvneshwer (Eds.) ICC-2019 : 3rd International Conference on Condensed Matter and Applied Physics, AIP Conference Proceedings, 2220. American Institute of Physics, 130010. DOI: 10.1063/5.0001282


JYU authors or editors


Publication details

All authors or editors: Agasti, Souvik

Parent publication: ICC-2019 : 3rd International Conference on Condensed Matter and Applied Physics

Parent publication editors: Shekhawat, Manoj Singh; Bhardwaj, Sudhir; Suthar, Bhuvneshwer

Conference:

International Conference on Condensed Matter and Applied Physics

Place and date of conference: Bikaner, India, 14.-15.10.2019

ISBN: 978-0-7354-1976-6

Journal or series: AIP Conference Proceedings

ISSN: 0094-243X

eISSN: 1935-0465

Publication year: 2020

Number in series: 2220

Article number: 130010

Publisher: American Institute of Physics

Publication country: United States

Publication language: English

DOI: http://doi.org/10.1063/5.0001282

Open Access: Publication channel is not openly available

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/68859


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.


Keywords: condensed matter physics; quantum physics; simulation

Free keywords: condensed matter physics


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Ministry reporting: Yes

Reporting Year: 2020

Preliminary JUFO rating: 1


Last updated on 2020-18-08 at 13:23