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Qi Y, Ni L, Ye Z, Zhang J, Bao X, Wang P, Rao Y, Raposo EP, Gomes ASL, Wang Z. Replica symmetry breaking in 1D Rayleigh scattering system: theory and validations. LIGHT, SCIENCE & APPLICATIONS 2024; 13:151. [PMID: 38956018 PMCID: PMC11219881 DOI: 10.1038/s41377-024-01475-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/24/2023] [Revised: 05/07/2024] [Accepted: 05/09/2024] [Indexed: 07/04/2024]
Abstract
Spin glass theory, as a paradigm for describing disordered magnetic systems, constitutes a prominent subject of study within statistical physics. Replica symmetry breaking (RSB), as one of the pivotal concepts for the understanding of spin glass theory, means that under identical conditions, disordered systems can yield distinct states with nontrivial correlations. Random fiber laser (RFL) based on Rayleigh scattering (RS) is a complex disordered system, owing to the disorder and stochasticity of RS. In this work, for the first time, a precise theoretical model is elaborated for studying the photonic phase transition via the platform of RS-based RFL, in which we clearly reveal that, apart from the pump power, the photon phase variation in RFL is also an analogy to the temperature term in spin-glass phase transition, leading to a novel insight into the intrinsic mechanisms of photonic phase transition. In addition, based on this model and real-time high-fidelity detection spectral evolution, we theoretically predict and experimentally observe the mode-asymmetric characteristics of photonic phase transition in RS-based RFL. This finding contributes to a deeper understanding of the photonic RSB regime and the dynamics of RS-based RFL.
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Affiliation(s)
- Yifei Qi
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Longqun Ni
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Zhenyu Ye
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Jiaojiao Zhang
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Xingyu Bao
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Pan Wang
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Yunjiang Rao
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China
| | - Ernesto P Raposo
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife, Pernambuco, Brazil.
| | - Anderson S L Gomes
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco, Brazil.
| | - Zinan Wang
- Key Lab of Optical Fiber Sensing & Communications, University of Electronic Science and Technology of China (UESTC), Chengdu, China.
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Barbosa ALR, de Lima THV, González IRR, Pessoa NL, Macêdo AMS, Vasconcelos GL. Turbulence Hierarchy and Multifractality in the Integer Quantum Hall Transition. PHYSICAL REVIEW LETTERS 2022; 128:236803. [PMID: 35749199 DOI: 10.1103/physrevlett.128.236803] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2021] [Accepted: 05/20/2022] [Indexed: 06/15/2023]
Abstract
We offer a new perspective on the problem of characterizing mesoscopic fluctuations in the interplateau regions of the integer quantum Hall transition. We found that longitudinal and transverse conductance fluctuations, generated by varying the external magnetic field within a microscopic model, are multifractal and lead to distributions of conductance increments (magnetoconductance) with heavy tails (intermittency) and signatures of a hierarchical structure (cascade) in the corresponding stochastic process, akin to Kolmogorov's theory of fluid turbulence. We confirm this picture by interpreting the stochastic process of the conductance increments in the framework of H theory, which is a continuous-time stochastic approach that incorporates the basic features of Kolmogorov's theory. The multifractal analysis of the conductance "time series," combined with the H-theory formalism, provides strong support for the overall characterization of mesoscopic fluctuations in the quantum Hall transition as a multifractal stochastic phenomenon with multiscale hierarchy, intermittency, and cascade effects.
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Affiliation(s)
- Anderson L R Barbosa
- Departamento de Física, Universidade Federal Rural de Pernambuco, Recife-PE 52171-900, Brazil
| | - Tiago H V de Lima
- Departamento de Física, Universidade Federal Rural de Pernambuco, Recife-PE 52171-900, Brazil
| | - Iván R R González
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife-PE 50670-901, Brazil
- Unidade Acadêmica de Belo Jardim, Universidade Federal Rural de Pernambuco, Belo Jardim-PE, Brazil
| | - Nathan L Pessoa
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife-PE 50670-901, Brazil
- Centro de Apoio à Pesquisa, Universidade Federal Rural de Pernambuco, Recife-PE 52171-900, Brazil
| | - Antônio M S Macêdo
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife-PE 50670-901, Brazil
| | - Giovani L Vasconcelos
- Departamento de Física, Universidade Federal do Paraná, Curitiba-PR 81531-980, Brazil
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Gomes ASL, de Araújo CB, Macêdo AMS, González IRR, de S Menezes L, Pincheira PIR, Kashyap R, Vasconcelos GL, Raposo EP. Photonics bridges between turbulence and spin glass phenomena in the 2021 Nobel Prize in Physics. LIGHT, SCIENCE & APPLICATIONS 2022; 11:104. [PMID: 35449144 PMCID: PMC9023500 DOI: 10.1038/s41377-022-00793-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
A photonic connection between turbulence and spin glasses has been recently established both theoretically and experimentally using a random fiber laser as a photonic platform. Besides unveiling this interplay, it links the works of two 2021 Nobel laureates in Physics.
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Affiliation(s)
- A S L Gomes
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil.
| | - C B de Araújo
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
| | - A M S Macêdo
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
| | - I R R González
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
- Unidade Acadêmica de Belo Jardim, Universidade Federal Rural de Pernambuco, Belo Jardim, PE, Brazil
| | - L de S Menezes
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
- Chair in Hybrid Nanosystems, Nanoinstitut München, Fakultät für Physik, Ludwig-Maximilians-Universität München, 80539, München, Germany
| | - P I R Pincheira
- Departamento de Ciencias Físicas, Universidad de La Frontera, Temuco, Chile
| | - R Kashyap
- Fabulas Laboratory, Department of Engineering Physics, Department of Electrical Engineering, Polytechnique Montreal, Montreal, H3C 3A7, QC, Canada
| | - G L Vasconcelos
- Departamento de Física, Universidade Federal do Paraná, Curitiba, PR, 81531-990, Brazil
| | - E P Raposo
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
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4
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Coronel ED, da Silva-Neto ML, Moura AL, González IRR, Pugina RS, Hilário EG, da Rocha EG, Caiut JMA, Gomes ASL, Raposo EP. Simultaneous evaluation of intermittency effects, replica symmetry breaking and modes dynamics correlations in a Nd:YAG random laser. Sci Rep 2022; 12:1051. [PMID: 35058511 PMCID: PMC8776975 DOI: 10.1038/s41598-022-05090-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2021] [Accepted: 11/10/2021] [Indexed: 11/09/2022] Open
Abstract
Random lasers (RLs) are remarkable experimental platforms to advance the understanding of complex systems phenomena, such as the replica-symmetry-breaking (RSB) spin glass phase, dynamics modes correlations, and turbulence. Here we study these three phenomena jointly in a Nd:YAG based RL synthesized for the first time using a spray pyrolysis method. We propose a couple of modified Pearson correlation coefficients that are simultaneously sensitive to the emergence and fading out of photonic intermittency turbulent-like effects, dynamics evolution of modes correlations, and onset of RSB behavior. Our results show how intertwined these phenomena are in RLs, and suggest that they might share some common underlying mechanisms, possibly approached in future theoretical models under a unified treatment.
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Grants
- 2016/11670-5, Proc. 2019/18828-1 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- Finance Code 001 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
- J.M.A.C. (305841/2018-1), R.S.P., E.P.R. (305062/2017-4), A.S.L.G. (310445/2020-5) Conselho Nacional de Desenvolvimento Científico e Tecnológico
- J.M.A.C. (305841/2018-1), R.S.P., E.P.R. (305062/2017-4), A.S.L.G. (310445/2020-5) Conselho Nacional de Desenvolvimento Científico e Tecnológico
- J.M.A.C. (305841/2018-1), R.S.P., E.P.R. (305062/2017-4), A.S.L.G. (310445/2020-5) Conselho Nacional de Desenvolvimento Científico e Tecnológico
- APQ-0504-1.05/14, APQ-0602-1.05/14 Fundação de Amparo a Ciência e Tecnologia do Estado de Pernambuco (FACEPE)
- APQ-0504-1.05/14, APQ-0602-1.05/14 Fundação de Amparo a Ciência e Tecnologia do Estado de Pernambuco (FACEPE)
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Affiliation(s)
- Edwin D Coronel
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
| | - Manoel L da Silva-Neto
- Graduate Program in Materials Science, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
| | - André L Moura
- Grupo de Física da Matéria Condensada, Núcleo de Ciências Exatas-NCEx, Universidade Federal de Alagoas, Campus Arapiraca, Arapiraca, AL, 57309-005, Brazil
| | - Iván R R González
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
- Unidade Acadêmica de Belo Jardim, Universidade Federal Rural de Pernambuco, Belo Jardim, PE, 55156-580, Brazil
| | - Roberta S Pugina
- Departamento de Química, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Ribeirão Prêto, SP, 14040-901, Brazil
| | - Eloísa G Hilário
- Departamento de Química, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Ribeirão Prêto, SP, 14040-901, Brazil
| | - Euzane G da Rocha
- Departamento de Química, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Ribeirão Prêto, SP, 14040-901, Brazil
| | - José Maurício A Caiut
- Departamento de Química, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Ribeirão Prêto, SP, 14040-901, Brazil.
| | - Anderson S L Gomes
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
| | - Ernesto P Raposo
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 50670-901, Brazil
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Abstract
In fluid turbulence, intermittency is the emergence of non-Gaussian tails in the distribution of velocity increments in small space and/or time scales. Intermittence is thus expected to gradually disappear as one moves from small to large scales. Here we study the turbulent-like intermittency effect experimentally observed in the distribution of intensity fluctuations in a disordered continuous-wave-pumped erbium-doped-based random fiber laser with specially-designed random fiber Bragg gratings. The intermittency effect is investigated as a crossover in the distribution of intensity increments from a heavy-tailed distribution (for short time scales), to a Gaussian distribution (for large time scales). The results are theoretically supported by a hierarchical stochastic model that incorporates Kolmogorov’s theory of turbulence. In particular, the discrete version of the hierachical model allows a general direct interpretation of the number of relevant scales in the photonic hierarchy as the order of the transitions induced by the non-linearities in the medium. Our results thus provide further statistical evidence for the interpretation of the turbulence-like emission previously observed in this system.
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