Numerical simulation of Kerr nonlinear systems : analyzing non-classical dynamics
Agasti, S. (2019). Numerical simulation of Kerr nonlinear systems : analyzing non-classical dynamics. Journal of Physics Communications, 3(10), Article 105004. https://doi.org/10.1088/2399-6528/ab4690
Published inJournal of Physics Communications
DisciplineNanoscience CenterNanoscience Center
© 2019 The Author(s)
We simulate coherent driven free dissipative Kerr nonlinear system numerically using Euler's method by solving Heisenberg equation of motion and time evolving block decimation (TEBD) algorithm, and demonstrate how the numerical results are analogous to classical bistability. The comparison with analytics show that the TEBD numerics follow the quantum mechanical exact solution obtained by mapping the equation of motion of the density matrix of the system to a Fokker-Plank equation. Comparing between two different numerical techniques, we see that the semi-classical Euler's method gives the dynamics of the system field of one among two coherent branches, whereas TEBD numerics generate the superposition of both of them. Therefore, the time dynamics determined by TEBD numerical method undergoes through a non-classical state which is also shown by determining second order correlation function.
PublisherInstitute of Physics Publishing Ltd.
ISSN Search the Publication Forum2399-6528
Publication in research information system
MetadataShow full item record
Related funder(s)Academy of Finland
Funding program(s)Academy Research Fellow, AoF
Additional information about fundingThis work was supported by the Academy of Finland under contract no. 275245.
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