Numerical simulation of Kerr nonlinear systems : analyzing non-classical dynamics
| Autor: | Souvik Agasti |
|---|---|
| Přispěvatelé: | Tampere University, Physics |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Kerr nonlinear system Computer simulation Bistability bistability numeeriset menetelmät Dynamics (mechanics) General Physics and Astronomy time-evolving block decimation algorithm 01 natural sciences 114 Physical sciences 010305 fluids & plasmas Nonlinear system second order correlation function fotoniikka 0103 physical sciences Statistical physics 010306 general physics kvanttifysiikka |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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