Topological Modes in a Laser Cavity through Exceptional State Transfer

Abstract

Shaping the light emission characteristics of laser systems is of great importance in various areas of science and technology. In a typical lasing arrangement, the spatial profile of the mode tends to remain self-similar throughout the cavity. Here, we introduce a paradigm shift where a spatially evolving mode is faithfully settled into a pair of bi-orthogonal states at the two facets of a laser cavity. This is achieved by deliberately eliminating non-adiabatic jumps in a purposely designed structure that features a dynamic encirclement of a non-Hermitian exceptional point. The resulting state transfer reflects the unique topology of the associated Riemann surfaces. Our approach provides a route to develop versatile mode selective active

arXiv commentA supplemental file is available on the Journal's website

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• A comprehensive review on developments of synthetic dimensions
• Continuum of Bound States in a Non-Hermitian Model
• Selective Filtering of Photonic Quantum Entanglement via Anti-Parity-Time Symmetry
• Polarization-controlled non-Hermitian metasurfaces for ultra-sensitive terahertz sensing
• Novel Topology and Manipulation of Scattering Singularities in Complex non-Hermitian Systems
• Dynamic gain and frequency comb formation in exceptional-point lasers
• Coherent control of magnon-polaritons using an exceptional point
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point
• Topological Dynamics and Correspondences in Composite Exceptional Rings
• Recent advances in the combination of nonlinearity and exceptional points
• Controlling quasi-parametric amplifications: From multiple PT-symmetry phase transitions to non-Hermitian sensing
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Coarse geometric approach to topological phases: Invariants from real-space representations
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Spectral branch points of the Bloch-Torrey operator