Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers

Lee, Sang-Bum; Lee, Jai-Hyung; Chang, Joon‐Sung; Moon, Hee‐Jong; Kim, Sang Wook; An, Kyungwon

doi:10.1103/physrevlett.88.033903

Cited by 142 publications

(44 citation statements)

References 20 publications

(33 reference statements)

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“…The corresponding scaling analysis suggested a zero-temperature transition with a critical exponent ν consistent with the value obtained initially from current-voltage scaling 10 . However, a study of the low-temperature configurations for frustrations close the irrational value by MC simulations in the vortex representation 16 , find two phase transitions consistent with earlier work 13 . On the experimental side, some results on arrays of su-perconducting grains at irrational frustration 2,3 are consistent with the scenario of the zero-temperature resistive transition but on wire networks 5,6 , resistivity scaling showed evidence of a transition at finite temperature.…”

Section: -970 São José Dos Campos Sp Brazilsupporting

confidence: 60%

Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

Granato

2007

Phys. Rev. B

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We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are consistent with a phase-coherence transition scenario where the critical temperature vanishes. The linear resistivity is nonzero at any finite temperatures but nonlinear behavior sets in at a temperature-dependent crossover current determined by the thermal critical exponent. From a dynamic scaling analysis we determine this critical exponent and the thermally activated behavior of the linear resistivity. The results are in agreement with earlier calculations using the resistively shunted-junction model for the dynamics of the array. The linear resistivity behavior is consistent with some experimental results on arrays of superconducting grains but not on wire networks, which we argue have been obtained in a current regime above the crossover current.PACS numbers: 74.81. Fa, 74.25.Qt, 75.10.Nr Most theoretical investigations of the vortex-glass phase in superconductors have considered model systems where there is a combined effect of quenched disorder and frustration 1 . However, in artificial Josephson-junction arrays, frustration without disorder can in principle be introduced by applying an external magnetic field on a perfect periodic array of weakly coupled superconducting grains 2,3,4 and similarly on superconducting wire networks 5,6 . The frustration parameter f , the number of flux quantum per plaquette, is given by f = φ/φ o , the ratio of the magnetic flux through a plaquette φ to the superconducting flux quantum φ o = hc/2e. It can be tuned by varying the strength of the external field. Frustration effects can be viewed as resulting from a competition between the underlying periodic pinning potential of the array and the natural periodicity of the vortex lattice 7 . At a rational value of f , the ground state is a commensurate pinned vortex lattice leading to discrete symmetries in addition to the continuous U (1) symmetry of the superconducting order parameter. The resistive transition is only reasonably well understood for simple rational values of f .At irrational values of f , the resistive behavior is much less understood since the vortex lattice is now incommensurate with the periodic array. In early Monte Carlo (MC) simulations 8 the ground state was found to consist of a disordered vortex pattern lacking long range order which could be regarded as a some sort of vortexglass state without quenched disorder. Glassy-like behavior was indeed observed in these simulations suggesting a possible superconducting (vortex-glass) transition at finite temperatures. However, some arguments also suggested that the critical temperature should vanish 7,9 . Simulations of the current-voltage scaling using the resistively shunted-junction model for the dynamics of the array found that the behavior was consistent with an equilibrium resistive transition where the critical temp...

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Section: -970 São José Dos Campos Sp Brazilsupporting

confidence: 60%

Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

Granato

2007

Phys. Rev. B

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“…For example modes based on stable periodic ray orbits with bow-tie [4] and triangular geometry [18] have been observed, as well as whispering gallery-like modes [16,18] which are not obviously related to any periodic ray orbit. In addition a periodic orbit mode can be selected for lasing even if it is unstable [17,19,20]; due to the analogy to quantum wavefunctions based on unstable classical periodic orbits, such modes have been termed "scarred" [21]. There is at present no quantitative understanding of the mode selection mechanism in ARCs and theory has tended to work backwards from experimental observations; however the passive cavity solutions have been found to explain quite well the observed lasing emission patterns.…”

Section: Introductionmentioning

confidence: 99%

Gaussian-optical approach to stable periodic orbit resonances of partially chaotic dielectric micro-cavities

Türeci¹,

Schwefel²,

Stone³

et al. 2002

Opt. Express

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The quasi-bound modes localized on stable periodic ray orbits of dielectric micro-cavities are constructed in the short-wavelength limit using the parabolic equation method. These modes are shown to coexist with irregularly spaced "chaotic" modes for the generic case. The wavevector quantization rule for the quasi-bound modes is derived and given a simple physical interpretation in terms of Fresnel reflection; quasi-bound modes are explictly constructed and compared to numerical results. The effect of discrete symmetries of the resonator is analyzed and shown to give rise to quasi-degenerate multiplets; the average splitting of these multiplets is calculated by methods from quantum chaos theory.

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“…There exist extra and unexpected concentrations, i.e., scars of eigenstate density near unstable periodic orbits. In 2002, Lee et al [49] experimentally observed the scarred modes in asymmetrically deformed microcylinder lasers (liquid jet). This observation is very important since they not only give rise to directional emission but also possess mode-like structures in the emission spectrum.…”

Section: Quadrupole-shaped Arcsmentioning

confidence: 98%

Asymmetric resonant cavities and their applications in optics and photonics: a review

Xiao

Zou

et al. 2010

Front. Optoelectron. China

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Asymmetric resonant cavities (ARCs) with smoothly deformed boundaries are currently under intensive study because they possess distinct properties that conventional symmetric cavities cannot provide. On one hand, it has been demonstrated that ARCs allow for highly directional emission instead of the in-plane isotropic light output in symmetric whispering-gallery cavities, such as microdisks, microspheres, and microtoroids. On the other hand, ARCs behave like open billiard system and thus offer an excellent platform to test classical and quantum chaos. This article reviews the recent progresses and prospects for the experimental realization of ARCs, with applications toward highly directional microlasing, strongcoupling light-matter interaction, and highly sensitive biosensing.

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Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers

Cited by 142 publications

References 20 publications

Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

Gaussian-optical approach to stable periodic orbit resonances of partially chaotic dielectric micro-cavities

Asymmetric resonant cavities and their applications in optics and photonics: a review

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