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Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics

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Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics. / Agasti, Souvik.

julkaisussa: Journal of Physics Communications, Vuosikerta 3, Nro 10, 105004, 01.10.2019.

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Agasti, S 2019, 'Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics', Journal of Physics Communications, Vuosikerta. 3, Nro 10, 105004. https://doi.org/10.1088/2399-6528/ab4690

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Agasti, Souvik. / Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics. Julkaisussa: Journal of Physics Communications. 2019 ; Vuosikerta 3, Nro 10.

Bibtex - Lataa

@article{915adc3c9fae490487632406a691fc03,
title = "Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics",
abstract = "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.",
keywords = "Bistability, Kerr nonlinear system, Second order correlation function, Time-evolving block decimation algorithm",
author = "Souvik Agasti",
year = "2019",
month = "10",
day = "1",
doi = "10.1088/2399-6528/ab4690",
language = "English",
volume = "3",
journal = "Journal of Computer Physics Communications",
issn = "2399-6528",
publisher = "Institute of Physics Publishing",
number = "10",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics

AU - Agasti, Souvik

PY - 2019/10/1

Y1 - 2019/10/1

N2 - 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.

AB - 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.

KW - Bistability

KW - Kerr nonlinear system

KW - Second order correlation function

KW - Time-evolving block decimation algorithm

U2 - 10.1088/2399-6528/ab4690

DO - 10.1088/2399-6528/ab4690

M3 - Article

VL - 3

JO - Journal of Computer Physics Communications

JF - Journal of Computer Physics Communications

SN - 2399-6528

IS - 10

M1 - 105004

ER -