Nonlinear topological photonics

Smirnova, Daria; Leykam, Daniel; Chong, Yidong; Kivshar, Yuri

doi:10.48550/arxiv.1912.01784

Cited by 6 publications

(6 citation statements)

References 157 publications

(292 reference statements)

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“…Since the effects of magnetic fields on light are weak, the realisation of topological concepts in photonics requires artificial structures and metamaterials [12]. Alternative approaches rely on time modulation of structure parameters [13][14][15][16] or engineered nonlinearities [17,18]. These approaches allow creating effective gauge fields in real or synthetic dimensions, and mimick the effects of magnetic fields or spinorbit couplings for photons.…”

mentioning

confidence: 99%

Quantum Hall phase emerging in an array of atoms interacting with photons

Poshakinskiy¹,

Zhong²,

Ke³

et al. 2020

Preprint

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Topological quantum phases underpin many concepts of modern physics. While the existence of disorder-immune topological edge states of electrons usually requires magnetic fields, direct effects of magnetic field on light are very weak. As a result, demonstrations of topological states of photons employ synthetic fields engineered in special complex structures or external time-dependent modulations. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system, where topological order arises solely from interactions without any fine-tuning. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits. We believe that our finding will open new horizons in several disciplines including quantum physics, many-body physics, and nonlinear topological photonics, and it will set an important reference point for experiments on qubit arrays and quantum simulators.

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mentioning

confidence: 99%

Quantum Hall phase emerging in an array of atoms interacting with photons

Poshakinskiy¹,

Zhong²,

Ke³

et al. 2020

Preprint

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“…Topological photonics has made rapid strides in the past years [1], investigating effects of gain and loss on the topology of photonic energy bands [2], topology in synthetic dimensions [3] as well as the interplay of topology and nonlinear optics phenomena [4]. Lasing in topological photonic structures has recently attracted a lot of attention not only because it allows studying topology in a novel nonlinear non-Hermitian regime but also because topological structures can offer a new design of laser devices.…”

Section: Introductionmentioning

confidence: 99%

Long-lived elementary excitations and light coherence in topological lasers

Zapletal,

Galilo,

Nunnenkamp

2020

Preprint

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We study a topological laser based on the photonic Haldane model with selective pumping of chiral edge modes described by saturable gain. We investigate elementary excitations around the mean-field steady state and their consequences for the coherence properties. In particular, we show that the hybridization of chiral edge modes gives rise to long-lived elementary excitations, leading to large phase fluctuations in the emitted light field and a decrease of light coherence. The lifetime of elementary excitations strongly depends on the dispersion of edge-mode frequencies around the lasing frequency. As a result, the lifetime can be reduced by orders of magnitude for lasing of different edge modes, leading to the suppression of phase fluctuations and a large coherence of emitted light. On the other hand, amplitude fluctuations and the second-order autocorrelation function are moderately increased at the same time. We confirm our results by numerical simulations of semiclassical Langevin equations taking nonlinear noise dynamics into account.

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“…While topological systems exhibit robustness against imperfections in closed systems, it is a nontrivial problem to determine if this feature is still available in open systems [24][25][26][27] . A recent example of this is the theoretical prediction 28 and experimental realization 29 of topological lasers 30,31 .…”

Section: Introductionmentioning

confidence: 99%

Dissipative nonequilibrium synchronization of topological edge states via self-oscillation

Wächtler,

Bastidas,

Schaller

et al. 2020

Preprint

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The interplay of synchronization and topological band structures with symmetry protected midgap states under the influence of driving and dissipation is largely unexplored. Here we consider a trimer chain of electron shuttles, each consisting of a harmonic oscillator coupled to a quantum dot positioned between two electronic leads. Each shuttle is subject to thermal dissipation and undergoes a bifurcation towards self-oscillation with a stable limit cycle if driven by a bias voltage between the leads. By mechanically coupling the oscillators together, we observe synchronized motion at the ends of the chain, which can be explained using a linear stability analysis. Due to the inversion symmetry of the trimer chain, these synchronized states are topologically protected against local disorder. Furthermore, with current experimental feasibility, the synchronized motion can be observed by measuring the dot occupation of each shuttle. Our results open a new avenue to enhance the robustness of synchronized motion by exploiting topology.

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Nonlinear topological photonics

Cited by 6 publications

References 157 publications

Quantum Hall phase emerging in an array of atoms interacting with photons

Quantum Hall phase emerging in an array of atoms interacting with photons

Long-lived elementary excitations and light coherence in topological lasers

Dissipative nonequilibrium synchronization of topological edge states via self-oscillation

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