The role of damping for the driven anharmonic quantum oscillator

TL;DR

This paper investigates how damping influences a driven quantum anharmonic oscillator, showing that quantum effects and temperature can be incorporated by adjusting damping parameters, with classical and quantum stable points exhibiting similar behavior.

Contribution

It provides a comparative analysis of classical and quantum stable points in a driven anharmonic oscillator, highlighting how quantum effects and temperature modify damping.

Findings

Quantum stable points are qualitatively similar to classical ones.

Quantum effects and temperature can be modeled by damping renormalization.

Small modifications distinguish quantum from classical solutions.

Abstract

For the model of a linearly driven quantum anharmonic oscillator, the role of damping is investigated. We compare the position of the stable points in phase space obtained from a classical analysis to the result of a quantum mechanical analysis. The solution of the full master equation shows that the stable points behave qualitatively similar to the classical solution but with small modifications. Both the quantum effects and additional effects of temperature can be described by renormalizing the damping.