Numerical simulation of free dissipative open quantum system and establishment of a formula for π
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
Published inAIP Conference Proceedings
© 2020 Author(s)
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.
PublisherAmerican Institute of Physics
Parent publication ISBN978-0-7354-1976-6
ConferenceInternational Conference on Condensed Matter and Applied Physics
Is part of publicationICC-2019 : 3rd International Conference on Condensed Matter and Applied Physics
Publication in research information system
MetadataShow full item record
Related funder(s)Academy of Finland
Funding program(s)Research post as Academy Research Fellow, AoF
Additional information about fundingThis work was supported by the Academy of Finland under contract no. 275245.
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