2003•Chinese Physics LettersOpen access

An Exact Solution to the Master Equation for the Dissipative Harmonic Oscillator Driven by an External Field

Hou Bang-pin, Shun-Jin Wang, YU Wan-lun

Abstract

By using the algebraic structure in the operator dual space in the master equation for the driven dissipative harmonic oscillator, we have rewritten the master equation as a Schrödinger-like equation. Then we have used three gauge transformations and obtained an exact solution to the master equation in the particle number representation.

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Key concepts: Master equation, Harmonic oscillator, Dissipative system, Physics, Lindblad equation, Operator (biology), Mathematical physics, Field (mathematics)