2019•arXiv (Cornell University)Open access

Lindblad dynamics of the damped and forced quantum harmonic oscillator: General solution

H. J. Korsch

Abstract

The quantum dynamics of a damped and forced harmonic oscillator described by a Lindblad master equation is analyzed. The master equation is converted into a matrix-vector representation and the resulting non-Hermitian Schrödinger equation is solved by Lie-algebraic techniques allowing the construction of the general solution for the density operator.

Open-access reader

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Lindblad equation, Harmonic oscillator, Master equation, Quantum harmonic oscillator, Operator (biology), Hermitian matrix, Matrix representation, Mathematics