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Open Quantum Systems Decoherence Quantum Simulation

Susceptibility of quasiclassical Brownian motion in harmonic nonlinear potentials

arXiv

Authors: Pedro J. Colmenares

Year

2020

Paper ID

18648

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

This work sets the exact equations for the quasiclassical response function and susceptibility of a Brownian particle immersed in a bath of quantum harmonic oscillators driving by nonlinear harmonic potentials. A delta force perturbation gives rise to a response whose susceptibility is the combination of a linear term, own of the harmonic oscillator, plus a nonlinear one involving an integral \textcolor{black}{equation. It is provided a recursion method to find its solutions based on functional equations in the Banach space.} The ODE for the response function is a highly nonlinear damped non-autonomous Duffing equation for which the aforementioned method is used to get its solution.

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This work sets the exact equations for the quasiclassical response function and susceptibility of a Brownian particle immersed in a bath of quantum harmonic oscillators driving...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.04033 [2] arXiv https://arxiv.org/abs/2012.04033 [3] Publisher https://arxiv.org/abs/2012.04033

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