Chaos-assisted emission from asymmetric resonant cavity microlasers

Shinohara, Susumu; Harayama, Takahisa; Fukushima, Tetsuya; Hentschel, Martina; Sunada, Satoshi; Narimanov, Evgenii E.

doi:10.1103/physreva.83.053837

Cited by 23 publications

(27 citation statements)

References 50 publications

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“…This nonlinearity produces a characteristic tail in the probability |a ω | 2 Weyl [ Fig. 3(f)], similar to that of the classical prediction (18). We therefore interpret it as a signature of chaos, which is most evident slightly above the onset of chaotic dynamics.…”

Section: A Absorber and Phase Spacesupporting

confidence: 67%

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Counting statistics of chaotic resonances at optical frequencies: Theory and experiments

2017

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A deformed dielectric microcavity is used as an experimental platform for the analysis of the statistics of chaotic resonances, in the perspective of testing fractal Weyl laws at optical frequencies. In order to surmount the difficulties that arise from reading strongly overlapping spectra, we exploit the mixed nature of the phase space at hand, and only count the high-Q whispering-gallery modes (WGMs) directly. That enables us to draw statistical information on the more lossy chaotic resonances, coupled to the high-Q regular modes via dynamical tunneling. Three different models [classical, Random-Matrix-Theory (RMT) based, semiclassical] to interpret the experimental data are discussed. On the basis of least-squares analysis, theoretical estimates of Ehrenfest time, and independent measurements, we find that a semiclassically modified RMT-based expression best describes the experiment in all its realizations, particularly when the resonator is coupled to visible light, while RMT alone still works quite well in the infrared. In this work we reexamine and substantially extend the results of a short paper published earlier [L. Wang et al., Phys. Rev. E 93, 040201(R) (2016)2470-004510.1103/PhysRevE.93.040201].

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Section: A Absorber and Phase Spacesupporting

confidence: 67%

“…The survival probability leading to Eqs. (18) and (23) for the classical estimates of the number of decaying states, has an exponential form because it rests on the assumption of a fully chaotic phase space. However, the phase portraits of Fig.…”

Section: Transient Chaosmentioning

confidence: 99%

Counting statistics of chaotic resonances at optical frequencies: Theory and experiments

2017

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“…16. Shinohara et al (2010Shinohara et al ( , 2011b were the first to provided clear experimental evidence for dynamical tunneling in optical microcavities. They used a cavity whose ray dynamical phase space consists of a dominant chaotic region and an island chain, supporting a rectangular-shaped ray orbit fully confined by total internal reflection.…”

Section: Dynamical Tunnelingmentioning

confidence: 99%

Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics

2015

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“…In relativistic quantum billiard systems with T -symmetry breaking [103], chiral scars of massless spin-1/2 fermions for certain classes of periodic orbits can arise [104][105][106], which can recur with the energy or the wave vector. In open (scattering) systems with quasibound states, there are still relationships among the classical period orbits, the wave functions, and directional emission in nonrelativistic quantum systems, but the current understanding is that recurrence of the quasibound states is unlikely [37,107,108]. Can this conventional wisdom be applied to α-T 3 particles in a cavity?…”

Section: B Recurrence Of Period-2 Type Of Quasibound Modesmentioning

confidence: 99%

Electrical confinement in a spectrum of two-dimensional Dirac materials with classically integrable, mixed, and chaotic dynamics

Han

Lai

2020

Phys. Rev. Research

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An emergent class of two-dimensional Dirac materials is α-T 3 lattices that can be realized by adding an atom at the center of each unit cell of a lattice with T 3 symmetry. The interaction strength α between this atom and any of its nearest neighbors is a parameter that can be continuously tuned between zero and one to generate a spectrum of materials. We investigate the fundamentally important and practically relevant issue of quasiparticle confinement for the entire spectrum of α-T 3 materials. Except for the two end points, i.e., α = 0, 1, which correspond to the graphene and pseudospin-1 lattices, respectively, the time-reversal symmetry is broken, leading to the removal of level degeneracy and facilitating confinement. Taking the approach of quantum scattering off an electrically generated potential cavity in the quantum-dot regime, we characterize confinement by identifying and examining the scattering resonances. We study a number of cavities with characteristically distinct classical dynamics: circular, annular, elliptical, and stadium cavities. For the circular and annular cavities with classically integrable and mixed dynamics, respectively, the scattering matrix can be analytically obtained, so the scattering cross sections and the Wigner-Smith time delay associated with the resonances can be calculated to quantify confinement. For the elliptical and stadium cavities with mixed and chaotic dynamics in the classical limit, respectively, the scattering-matrix approach is infeasible, so we adopt an efficient numerical method to calculate the scattering wave functions and experimentally accessible measures of confinement such as the magnetic moment. The main finding is that, for all the cases, the regime of small α values offers the best confinement possible among the spectrum of α-T 3 materials, which is general and holds regardless of the nature of the corresponding classical dynamics.

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Chaos-assisted emission from asymmetric resonant cavity microlasers

Cited by 23 publications

References 50 publications

Counting statistics of chaotic resonances at optical frequencies: Theory and experiments

Counting statistics of chaotic resonances at optical frequencies: Theory and experiments

Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics

Electrical confinement in a spectrum of two-dimensional Dirac materials with classically integrable, mixed, and chaotic dynamics

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