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.
Showing items with similar title or keywords.
Dutta, Arpan; Matikainen, Antti; Andoh, Sampson; Nuutinen, Tarmo (American Institute of Physics, 2020)Metal nanoparticles are widely acclaimed as plasmonic substrates for surface-enhanced Raman spectroscopy (SERS) due to their unique particle plasmon resonances at visible and near infrared regions. Silver nanoparticles are ...
Dutta, Arpan; Tiainen, Ville; Toppari, Jussi (American Institute of Physics, 2020)Plasmonic nanospheres are often employed as resonant substrates in many nanophotonic applications, like in enhanced spectroscopy, near-field microscopy, photovoltaics, and sensing. Accurate calculation and tuning of optical ...
Pavlyukh, Yaroslav; Stefanucci, Gianluca; van Leeuwen, Robert (American Physical Society, 2020)Diagrammatic perturbation theory is a powerful tool for the investigation of interacting many-body systems, the self-energy operator Sigma encoding all the variety of scattering processes. In the simplest scenario of ...
Many-body Green's function theory of electrons and nuclei beyond the Born-Oppenheimer approximation Härkönen, Ville J.; van Leeuwen, Robert; Gross, E. K. U. (American Physical Society, 2020)The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory ...
Simulation of Matrix Product States For Dissipation and Thermalization Dynamics of Open Quantum Systems Agasti, Souvik (Institute of Physics Publishing Ltd., 2020)We transform the system/reservoir coupling model into a one-dimensional semi-infinite discrete chain through unitary transformation to simulate the open quantum system numerically with the help of time evolving block ...