Doorway States and Billiards

TL;DR

This paper investigates the robustness of the doorway-state mechanism across various 2-D billiard geometries, demonstrating its applicability in symmetric, chaotic, and irregular systems.

Contribution

It provides a comprehensive analysis showing that the doorway-state mechanism is valid across diverse billiard geometries, highlighting its robustness.

Findings

Doorway-state mechanism applies to symmetric, chaotic, and irregular billiards.

The mechanism's validity is confirmed across diverse geometries.

Robustness of doorway states in complex quantum systems.

Abstract

Whenever a distinct state is immersed in a sea of complicated and dense states, the strength of the distinct state, which we refer to as a doorway, is distributed in their neighboring states. We analyze this mechanism for 2-D billiards with different geometries. One of them is symmetric and integrable, another is symmetric but chaotic, and the third has a capricious form. The fact that the doorway-state mechanism is valid for such highly diverse cases, proves that it is robust.