Linearized theory of the fluctuation dynamics in two-dimensional topological lasers

Loirette--Pelous, Aurelian; Amelio, Ivan; Seclì, Matteo; Carusotto, Iacopo

doi:10.1103/physreva.104.053516

Cited by 10 publications

(8 citation statements)

References 29 publications

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“…As pointed out in [32], the overlap of the Harper-Hofstadter eigenmode with the amplifying region of the lattice determines a k x -dependent imaginary part of the dispersion for the bare lattice. This remains true also for the Bogoliubov edge modes of the linearized theory on top of the lasing state [33].…”

Section: A Modelmentioning

confidence: 60%

“…From the theoretical point of view, ongoing research includes the classification of the different Kardar-Parisi-Zhang universality subclasses for our model [23], the extension of our study to class-B semiconductor lasers by explicitly including the carrier dynamics [17] and Kerr nonlinearities [33], and the generalization of the topological laser concept to photonic lattices with different dimensionalities and different band topologies [10].…”

Section: Discussionmentioning

confidence: 99%

“…3.b can be understood by inspecting the Bogoliubov modes on top of the noiseless lasing state. This will be fully discussed in a work in preparation [33], but we can anticipate that, as a consequence of the U (1) symmetry breaking, the diffusive Goldstone branch, analogous to the one in [26], plays a major role. In Fig.…”

Section: Frequency Combmentioning

confidence: 98%

“…The lasing mode, denoted by the cyan dots, dominates the spectrum, with the N y = 12 bare Harper-Hofstadter bands in dotted lines. The brightness of the gap modes comes from localization on the edge, where the medium is amplifying; a full account based on Bogoliubov analysis of all these features will be presented soon [33].…”

Section: A Modelmentioning

confidence: 99%

“…For instance, J ef f 3.19γ hence l * 1.92 here. A detailed report of possible mappings of the 2D topological laser to a 1D one will be presented soon [33].…”

Section: ∼ N Zmentioning

confidence: 99%

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Theory of the coherence of topological lasers

Amelio,

Carusotto

2019

Preprint

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We present a theoretical study of the temporal and spatial coherence properties of a topological laser device built by including saturable gain on the edge sites of a Harper-Hofstadter lattice for photons. In the comoving frame of its chiral motion, the lasing edge mode behaves very similarly to a one-dimensional system, and the correlations of long-wavelength fluctuations display the peculiar Kardar-Parisi-Zhang (KPZ) scaling. At longer times, the finite size of the device starts to matter, and the functional form of the coherence decay changes from a KPZ stretched exponential to a pure exponential. Still, the nonlinear dynamics of KPZ fluctuations reflects into an enhanced linewidth as compared to a single-mode Schawlow-Townes phase diffusion. While all these features are general to extended laser arrays, the role of topology in protecting the coherence from static disorder is finally highlighted. This opens exciting possibilities and intriguing open questions both for fundamental studies of non-equilibrium statistical mechanics and for concrete applications to laser devices.

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Section: A Modelmentioning

confidence: 60%

Section: Discussionmentioning

confidence: 99%

Section: Frequency Combmentioning

confidence: 98%

Section: A Modelmentioning

confidence: 99%

“…For instance, J ef f 3.19γ hence l * 1.92 here. A detailed report of possible mappings of the 2D topological laser to a 1D one will be presented soon [33].…”

Section: ∼ N Zmentioning

confidence: 99%

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Theory of the coherence of topological lasers

Amelio,

Carusotto

2019

Preprint

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Topological laser on square lattice with gain–loss-induced higher-order corner modes

Liao 廖,

Wei 韦,

Wang 王

et al. 2024

Chinese Phys. B

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We investigate the higher-order topological laser in the two-dimensional (2D) coupled-cavity array. Here, by adding staggered on-site gain and loss to the 2D Hermitian array with a trivial phase, the system will emerge degenerate topological corner modes, which are protected by bulk band gap. For such a nonHermitian model, by adjusting the parameters of the system and introducing the pumping into the cavity at the corner, a single-mode lasing with topological protection emerges. Furthermore, single-mode lasing exists over a wide range of pumping strengths. And no matter where the cavity is initially stimulated, after enough time evolution, all the cavities belonging to the topological corner mode can emit a stable laser.

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Bogoliubov theory of the laser linewidth and application to polariton condensates

Amelio

Carusotto

2022

Phys. Rev. A

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Linearized theory of the fluctuation dynamics in two-dimensional topological lasers

Cited by 10 publications

References 29 publications

Theory of the coherence of topological lasers

Theory of the coherence of topological lasers

Topological laser on square lattice with gain–loss-induced higher-order corner modes

Bogoliubov theory of the laser linewidth and application to polariton condensates

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