Theory of chiral edge state lasing in a two-dimensional topological system

Abstract

We theoretically study topological laser operation in a bosonic Harper-Hofstadter model featuring a saturable optical gain. Crucial consequences of the chirality of the lasing edge modes are highlighted, such as a sharp dependence of the lasing threshold on the geometrical shape of the amplifying region and the possibility of ultraslow relaxation times and of convectively unstable regimes. The different unstable regimes are characterized in terms of spatio-temporal structures sustained by noise and a strong amplification of a propagating probe beam is anticipated to occur in between the convective and the absolute (lasing) thresholds. The robustness of topological laser operation against static disorder is assessed.

References in corpus (32)

• Topological Photonics
• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Imaging topological edge states in silicon photonics
• Robust optical delay lines via topological protection
• Topological States and Adiabatic Pumping in Quasicrystals
• Experimental observation of Weyl points
• Lasing in topological edge states of a 1D lattice
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Observation of photonic anomalous Floquet Topological Insulators
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Dynamical quantum noise in Bose-Einstein condensates
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Topological Hybrid Silicon Microlasers
• Photonic Topological Insulator in Synthetic Dimensions
• Time Reversal Invariant Topologically Insulating Circuits
• Edge Solitons in Nonlinear Photonic Topological Insulators
• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• Experimental Measurement of the Berry Curvature from Anomalous Transport
• Synthetic Landau levels for photons
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Fractional Quantum Hall State in Coupled Cavities
• Experimental band structure spectroscopy along a synthetic dimension
• Topological quantum fluctuations and travelling wave amplifiers
• Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• Topological lasing and self-induced transparency in two level systems
• Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling

Cited by in corpus (21)

• Nonlinear topological photonics
• Active topological photonics
• Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
• Theory of Topological Corner State Laser in Kagome Waveguide Arrays
• Topological Valley Hall Edge State Lasing
• Theory of the coherence of topological lasers
• Chiral quantum optics: recent developments, and future directions
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Untying links through anti-parity-time-symmetric coupling
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
• Tunable two-dimensional laser arrays with zero-phase locking
• Long-lived elementary excitations and light coherence in topological lasers
• Spatial and Spectral Mode-Selection Effects in Topological Lasers with Frequency-Dependent Gain
• Kibble-Zurek mechanism in polariton graphene
• Linearized theory of the fluctuation dynamics in 2D topological lasers
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Edge mode bifurcations of two-dimensional topological lasers
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Theory of quantum spin-Hall topological lasers
• Dynamical stability of 2D topological lasers