Mode-mode coupling theory of resonant pumping via dynamical tunneling processes in a deformed microcavity

TL;DR

This paper develops a mode-mode coupling theory to describe resonant pumping via dynamical tunneling in deformed microcavities, providing analytical expressions for efficiency and mode decay rates.

Contribution

It introduces a novel theoretical framework linking chaotic and regular modes in microcavities, including effective parameters and analysis methods.

Findings

Pumping efficiency depends on detuning, coupling, and decay rates.

Chaotic modes can be treated as a single effective pump mode.

Decay rate of the regular mode is enhanced by dynamical tunneling.

Abstract

Mode-mode coupling theory is presented for the resonant pumping via dynamical tunneling processes in a deformed microcavity. From the steady-state solution of the coupled differential equations of chaotic modes and a high-Q regular mode, pumping efficiency is obtained as a function of pump detuning, coupling constants and decay rates of the involved modes. We show that the pump-excited chaotic modes as a whole can be regarded as a single pump mode with an effective decay rate and an effective coupling constant with the regular mode. We also show that the decay rate of the regular mode is enhanced by dynamical tunneling into all chaotic modes. Analysis method to obtain the effective coupling constant from the pumping efficiencies is presented for a two-dimensional deformed microcavity.