
TL;DR
This chapter explores chaotic billiard lasers as a physical platform for quantum chaos, detailing theoretical and experimental insights into how chaos influences light emission and lasing properties in optical microcavities.
Contribution
It provides a comprehensive derivation of Maxwell-Bloch equations for chaotic microcavity lasers and bridges nonlinear lasing with chaotic wavefunctions.
Findings
Chaos-assisted light emission demonstrated in experiments
Theoretical framework linking chaos with lasing properties
Derived Maxwell-Bloch equations for chaotic microcavities
Abstract
This chapter provides an overview of chaotic billiard lasers as a prominent branch of quantum chaos. These lasers offer an ideal experimental platform for demonstrating the principles of quantum chaos within a physical system. We begin by introducing the fundamental principles of chaotic ray dynamics in optical microcavities, where the transition from regular to fully chaotic dynamics fundamentally alters the underlying wavefunctions and lasing properties. A central focus is placed on "chaos-assisted light emission," which serves as a practical manifestation of "chaos-assisted tunneling" -- a hallmark phenomenon in the study of quantum chaos. We discuss both theoretical frameworks and experimental validations, demonstrating how chaotic orbits facilitate the coupling between evanescently localized modes and far-field emission. Furthermore, exploring how the presence of a gain medium…
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