Observation of photonic paramagnetic to spin-glass transition in a specially designed TiO_2 particle-based dye-colloidal random laser

Pincheira, Pablo I. R.; Silva, Andrea F.; Fewo, Serge I.; Carreño, Sandra J.; Moura, André L.; Raposo, Ernesto P.; Gomes, Anderson S. L.; Araújo, Cid B. de

doi:10.1364/ol.41.003459

Cited by 57 publications

(57 citation statements)

References 32 publications

(43 reference statements)

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“…However, one could also reasonably suppose that the relevant spatial scale for the motion of the scatterers is of the order of L s 37. In the results shown in Fig.…”

Section: Methodsmentioning

confidence: 93%

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Robustness of replica symmetry breaking phenomenology in random laser

Tommasi

Ignesti

Lepri

et al. 2016

Sci Rep

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Random lasers are optical sources where light is amplified by stimulated emission along random paths through an amplifying scattering medium. Connections between their physics and the one of quenched disordered nonlinear systems, notably spin glasses, have been recently suggested. Here we report a first experimental study of correlations of spectral fluctuations intensity in a random laser medium where the scatterers displacement significantly changes among consecutive shots. Remarkably, our results reveal that the replica symmetry breaking (RSB) phenomenology is robust with respect to an averaging over different realizations of the disorder. Moreover, besides opening new intriguing questions about the understanding of such a phenomenon, this work aims to clarify the connection between the RSB with the onset of the Lévy regime, i.e. the fluctuations regime that is a peculiar feature of the random lasing under critical conditions. Our results suggest that the former occurs independently of the latter and then the RSB phenomenology is a generic feature linked to the random laser threshold.

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“…However, one could also reasonably suppose that the relevant spatial scale for the motion of the scatterers is of the order of L s 37. In the results shown in Fig.…”

Section: Methodsmentioning

confidence: 93%

“…Moreover, also a decaying trend of the spin-glass behaviour at high pumping energies was reported. Recently, also an observation of RSB in specially designed TiO 2 particle-based dye-colloidal random laser was provided37. RSB in a fluctuating regime at lasing threshold of a liquid state dye lasers without disorder has been even reported38.…”

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confidence: 99%

Robustness of replica symmetry breaking phenomenology in random laser

Tommasi

Ignesti

Lepri

et al. 2016

Sci Rep

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“…We also comment on the important contrast between this finding and the recent observation of the transition from the replica-symmetric prelasing to the RSB spin-glass phase in disordered RL systems [1][2][3][4][5]. Indeed, though RSB is identified above the threshold in both multimode SML laser and RL regimes, we recall that the photonic phases are actually quite distinct, with most modes oscillating coherently in the former, whereas in the latter they present nontrivial correlations and incoherent oscillation [6][7][8][9][10][11][12][13].…”

mentioning

confidence: 53%

“…In 2015, the very first experimental evidence of photonic RSB arose in a two-dimensional (2D) functionalized T 5 OC x oligomer amorphous solidstate RL [1]. Subsequent demonstrations of RSB appeared in 1D erbium-doped random fiber laser [4,5] and 3D functionalized TiO 2 particle-based dye-colloidal [3] and neodymium-doped YBO 3 solid-state [2] RLs. In these cavityless systems, the manifestation of RSB concurs with the settlement of a glassy phase of light -a photonic spin-glass phase, in which the modes are nontrivially correlated though displaying incoherent oscillation [6][7][8][9][10][11][12][13].…”

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confidence: 99%

Replica Symmetry Breaking in the Photonic Ferromagneticlike Spontaneous Mode-Locking Phase of a Multimode Nd:YAG Laser

et al. 2017

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The recent reports of the replica symmetry breaking (RSB) phenomenon in photonic experiments [1-5] boosted the understanding of the role of disorder in multimode lasers, as well as helped to settle enlightening connections [6-13] with the statistical physics of complex systems. RSB manifests when identically-prepared system replicas reach distinct states, yielding different measures of observable quantities [14]. Here we demonstrate the RSB in the spontaneous mode-locking regime of a conventional multimode Nd:YAG laser in a closed cavity. The underlying mechanism is quite distinct from that of the RSB spinglass phase in cavityless random lasers with incoherently-oscillating modes. Here, a specific nonuniform distribution of the gain takes place in each pulse, and frustration is induced since the coherent oscillation of a given subset of longitudinal modes dominates and simultaneously inhibits the others. Nevertheless, when high losses are introduced only the replica-symmetric amplified stimulation emission is observed. We therefore suggest that the RSB transition can be used as an identifier of the threshold in standard multimode lasers, as recently proposed and demonstrated for random lasers [1,2].The concept of RSB appeared in the late 1970's in the context of Parisi's theory of disordered magnetic systems [14,15]. In this framework, for sufficiently low temperatures and strong disorder, the free energy landscape breaks into a large number of local minima in the configuration space. Due to frustrated magnetic interactions in the disordered Hamiltonian, spins fail to align in a spatially regular configuration, as in the ferromagnetic state. Instead, spins "freeze" along random directions in a spin-glass state. As a given spin configuration can be trapped in a local free energy minimum, metastability and irreversibility effects arise in the spinglass phase. Consequently, identical systems prepared under identical conditions (system replicas) can reach different states with different measures of observable quantities and nontrivial correlation patterns in a replica symmetry breaking scenario. Later on, the scope of this concept was much extended to reach other complex systems [14], including neural networks and structural glasses.In the photonic context, theoretical predictions of RSB behavior emerged in the last decade [6][7][8][9][10][11][12][13], mainly related to the properties of multimode random lasers (RLs). In the photonic-to-magnetic analogy, the mode amplitudes play the role of the spins and the excitation pumping energy acts as the inverse temperature. In 2015, the very first experimental evidence of photonic RSB arose in a two-dimensional (2D) functionalized T 5 OC x oligomer amorphous solidstate RL [1]. Subsequent demonstrations of RSB appeared in 1D erbium-doped random fiber laser [4,5] and 3D functionalized TiO 2 particle-based dye-colloidal [3] and neodymium-doped YBO 3 solid-state [2] RLs. In these cavityless systems, the manifestation of RSB concurs with the settlement of a glassy phase of light...

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“…While they are limited in resolution and free-spectral range, they are compatible with general continuous and quasi-continuous wave sources, hence complementing existing well-established real-time spectral measurement methods like the DFT25. Furthermore, they allow a straightforward method to arrive at wavelength-resolved statistical estimates like Pearson correlations, and even other formulations of the two-point correlation functions37, which can serve to quantize the degree of coherence of the random fibre laser, and uncover possible occurrences of phase transitions as observed in conventional random lasers3839.…”

Section: Discussionmentioning

confidence: 80%

Spectral correlations in a random distributed feedback fibre laser

2017

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Random distributed feedback fibre lasers belong to the class of random lasers, where the feedback is provided by amplified Rayleigh scattering on sub-micron refractive index inhomogenities randomly distributed over the fibre length. Despite the elastic nature of Rayleigh scattering, the feedback mechanism has been insofar deemed incoherent, which corresponds to the commonly observed smooth generation spectra. Here, using a real-time spectral measurement technique based on a scanning Fabry-Pérot interferometer, we observe long-living narrowband components in the random fibre laser's spectrum. Statistical analysis of the ∼104 single-scan spectra reveals a preferential interspacing for the components and their anticorrelation in intensities. Furthermore, using mutual information analysis, we confirm the existence of nonlinear correlations between different parts of the random fibre laser spectra. The existence of such narrowband spectral components, together with their observed correlations, establishes a long-missing parallel between the fields of random fibre lasers and conventional random lasers.

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Observation of photonic paramagnetic to spin-glass transition in a specially designed TiO_2 particle-based dye-colloidal random laser

Cited by 57 publications

References 32 publications

Robustness of replica symmetry breaking phenomenology in random laser

Robustness of replica symmetry breaking phenomenology in random laser

Replica Symmetry Breaking in the Photonic Ferromagneticlike Spontaneous Mode-Locking Phase of a Multimode Nd:YAG Laser

Spectral correlations in a random distributed feedback fibre laser

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