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

Year: 2019

Authors: Secli M., Capone M., Carusotto I.

Autors Affiliation: Scuola Int Super Studi Avanzati, SISSA, Via Bonomea 265, I-34136 Trieste, Italy; CNR IOM Democritos, Via Bonomea 265, I-34136 Trieste, Italy;‎ Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy

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 spatiotemporal 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.

Journal/Review: PHYSICAL REVIEW RESEARCH

Volume: 1 (3)      Pages from: 033148-1  to: 033148-10

More Information: Continuous exchanges with M. Wouters on the subject of convective and absolute instabilities are warmly acknowledged. We are grateful to T. Ozawa, H. M. Price, and A. Loirette-Pelous for stimulating discussions. I.C. acknowledges financial support from the Provincia Autonoma di Trento and from the European Union via the FET-Open Grant MIR-BOSE (737017) and Quantum Flagship Grant PhoQuS (820392). M.C. acknowledges support from MIUR PRIN 2015 (Prot. 2015C5SEJJ001) and SISSA/CNR project “Superconductivity, Ferroelectricity and Magnetism in bad metals” (Prot. 232/2015).
KeyWords: Topological Lasers, Edge States, Noise
DOI: 10.1103/PhysRevResearch.1.033148

Citations: 21
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