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Title: | Simulation of kerr nonlinearity: revealing initial state dependency | Authors: | AGASTI, Souvik | Issue Date: | 2023 | Publisher: | IOP Publishing Ltd | Source: | PHYSICA SCRIPTA, 98 (11) (Art N° 115103) | Abstract: | We simulate coherent driven free dissipative Kerr nonlinear system numerically using time-evolving block decimation (TEBD) algorithm and time propagation on the Heisenberg equation of motion using Euler's method to study how the numerical results are analogous to classical bistability . The system evolves through different trajectories to stabilize different branches for different external drives and initial conditions. The Wigner state reprentation confirms the system to suffer a residual effect of initial state throughout the non-classical dynamical evolution and the metastable states of the system . Furthermore, we also see the numerically simulated spectral density remains significantly different from analytical counterparts when initial states do not lie to the same branch of the final state. | Notes: | Agasti, S (corresponding author), IMEC, IMOMEC Div, Wetenschapspk 1, B-3590 Diepenbeek, Belgium.; Agasti, S (corresponding author), Hasselt Univ, Inst Mat Res IMO, Wetenschapspk 1, B-3590 Diepenbeek, Belgium. souvik.agasti@uhassest.be |
Keywords: | Kerr nonlinear system;bistability;second order correlation function;time-evolving block decimation algorithm;Wigner Function | Document URI: | http://hdl.handle.net/1942/41779 | ISSN: | 0031-8949 | e-ISSN: | 1402-4896 | DOI: | 10.1088/1402-4896/acfce4 | ISI #: | 001082768300001 | Rights: | 2023 IOP Publishing Ltd | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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Simulation of kerr nonlinearity_ revealing initial state dependency.pdf Restricted Access | Published version | 1.34 MB | Adobe PDF | View/Open Request a copy |
ACFrOgDlyWaGiAMOPhE1Cs2EUyr.pdf | Peer-reviewed author version | 1.38 MB | Adobe PDF | View/Open |
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