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DY: Fachverband Dynamik und Statistische Physik

DY 35: Poster: Quantum Dynamics and Many-body Systems

DY 35.16: Poster

Wednesday, March 20, 2024, 15:00–18:00, Poster D

Phase-space representations of three-dimensional optical microcavities — •Tom Rodemund1, Shilong Li2, Síle Nic Chormaic3, and Martina Hentschel11Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany — 2College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China — 3Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan

Analyzing the phase-space of a given dynamical system is a well-established and versatile tool towards their profound understanding. Prominent methods include the Poincaré surface of section for particle dynamics and the Husimi function for their wave counterpart. Often these are two-dimensional (2D) systems that allow for a convenient phase-space representation along a surface of section.

Three-dimensonal (3D) cavities such as bottles or microtoroids are typical samples investigated in mesoscopic optics. They are interesting objects of study, as they may behave qualitatively different to their 2D counterparts, e.g. due to Arnold diffusion. The existence of four phase-space coordinates hinders a compact representation of all their properties [1], making it impossible including all information in a single representation. Here we discuss possibilities and demonstrate how to extend the well-established concept of Husimi functions [2] to 3D optical microcavities of arbitrary shape, thereby focussing on experimentally accessible characterisitcs of 3D resonance modes.

[1] Firmbach et al., Phys. Rev. E 98 022214 (2018)

[2] Hentschel et al., Europhys. Lett. 62 636 (2003)

Keywords: optical microcavity; phase-space analysis

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