Dissipative self-organization in optical space

The complex behaviours of schools of fish1 and swarms of bacteria2,3 can be emulated in soft-matter systems that assemble into flocks4,5 and active nematics6, respectively. These artificial structures emerge far from thermodynamic equilibrium through the process of dissipative self-organization, in which many-body interactions coordinate energy dissipation. The development of such active matter has deepened our understanding of living systems. Yet, the application of dissipative self-organization has been restricted to soft-matter systems, whose elements organize through their respective motions. Here, we demonstrate dissipative self-organization in solid-state photonics. Our structure consists of a random array of Fabry–Pérot resonators that are externally driven and interact coherently through thermo-optical feedback. At sufficient optical driving power, the system undergoes a phase transition into a robustly organized non-equilibrium state that actively partitions energy dissipation, while displaying resiliency to perturbations and collective memory7,8. Self-organizing photonics opens possibilities for developing scalable architectures and life-like networks for brain-inspired computation9,10.Self-organization far from thermal equilibrium in a thermo-optical feedback process occurring in a random array of Fabry–Pérot resonators is shown, adding new capability to dynamic self-assembly in creating materials with fine-tuned adaptive responses.

[1]  P. Yeh,et al.  Photonics : optical electronics in modern communications , 2006 .

[2]  Michal Lipson,et al.  Synchronization and Phase Noise Reduction in Micromechanical Oscillator Arrays Coupled through Light. , 2015, Physical review letters.

[3]  A. Libchaber,et al.  Particle diffusion in a quasi-two-dimensional bacterial bath. , 2000, Physical review letters.

[4]  I. Couzin,et al.  Inferring the structure and dynamics of interactions in schooling fish , 2011, Proceedings of the National Academy of Sciences.

[5]  Martin A. Green,et al.  Self-consistent optical parameters of intrinsic silicon at 300 K including temperature coefficients , 2008 .

[6]  D Frenkel,et al.  Field-induced self-assembly of suspended colloidal membranes. , 2009, Physical review letters.

[7]  Alexandre Morin,et al.  Distortion and destruction of colloidal flocks in disordered environments , 2016, Nature Physics.

[8]  Florian Marquardt,et al.  Collective dynamics in optomechanical arrays , 2010, 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC.

[9]  G. Whitesides,et al.  Self-Assembly at All Scales , 2002, Science.

[10]  J. Yardley,et al.  Fast and low-power thermooptic switch on thin silicon-on-insulator , 2003, IEEE Photonics Technology Letters.

[11]  Job Boekhoven,et al.  Dissipative self-assembly of a molecular gelator by using a chemical fuel. , 2010, Angewandte Chemie.

[12]  I. Aranson,et al.  Structure formation in electromagnetically driven granular media. , 2004, Physical review letters.

[13]  K. Vahala,et al.  Dynamical thermal behavior and thermal self-stability of microcavities , 2004, (CLEO). Conference on Lasers and Electro-Optics, 2005..

[14]  J. Yang,et al.  Memristors with diffusive dynamics as synaptic emulators for neuromorphic computing. , 2017, Nature materials.

[15]  Shun-Hui Yang,et al.  Localization in silicon nanophotonic slow-light waveguides , 2008 .

[16]  Yuang Wang,et al.  Emergence of an enslaved phononic bandgap in a non-equilibrium pseudo-crystal. , 2017, Nature materials.

[17]  Ceji Fu,et al.  Nanoscale radiation heat transfer for silicon at different doping levels , 2006 .

[18]  Daniel T. N. Chen,et al.  Spontaneous motion in hierarchically assembled active matter , 2012, Nature.

[19]  Shimeng Yu,et al.  An Electronic Synapse Device Based on Metal Oxide Resistive Switching Memory for Neuromorphic Computation , 2011, IEEE Transactions on Electron Devices.

[20]  Olli Ikkala,et al.  Switchable Static and Dynamic Self-Assembly of Magnetic Droplets on Superhydrophobic Surfaces , 2013, Science.

[21]  S. Maier,et al.  Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures , 2005 .

[22]  Claudio Conti,et al.  The mode-locking transition of random lasers , 2011, 1304.3652.

[23]  H. Thurman Henderson,et al.  Ultra-deep anisotropic etching of (110) silicon , 1999 .

[24]  B. Grzybowski,et al.  The dependence between forces and dissipation rates mediating dynamic self-assembly , 2009 .

[25]  R. Goldstein,et al.  Self-concentration and large-scale coherence in bacterial dynamics. , 2004, Physical review letters.

[26]  T. Asano,et al.  Experimental investigation of thermo-optic effects in SiC and Si photonic crystal nanocavities. , 2011, Optics letters.

[27]  Ignacio Pagonabarraga,et al.  Colloidal Microworms Propelling via a Cooperative Hydrodynamic Conveyor Belt. , 2015, Physical review letters.

[28]  Bartosz A Grzybowski,et al.  Principles and implementations of dissipative (dynamic) self-assembly. , 2006, The journal of physical chemistry. B.

[29]  Alexey Snezhko,et al.  Magnetic manipulation of self-assembled colloidal asters. , 2011, Nature materials.

[30]  Jeremy L. England Dissipative adaptation in driven self-assembly. , 2015, Nature nanotechnology.

[31]  I. Aranson,et al.  Surface wave assisted self-assembly of multidomain magnetic structures. , 2006, Physical review letters.

[32]  B. Kay,et al.  End-directed evolution and the emergence of energy-seeking behavior in a complex system. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  W. Uspal,et al.  Self-organizing microfluidic crystals. , 2014, Soft matter.

[34]  S. Maiti,et al.  Dissipative self-assembly of vesicular nanoreactors. , 2016, Nature chemistry.

[35]  Jean-Baptiste Caussin,et al.  Emergence of macroscopic directed motion in populations of motile colloids , 2013, Nature.

[36]  A. Morin,et al.  Flowing Active Liquids in a Pipe: Hysteretic Response of Polar Flocks to External Fields , 2018, 1803.10782.

[37]  Ariel Lipson,et al.  Low-loss one-dimensional photonic bandgap filter in (110) silicon. , 2006, Optics letters.

[38]  Hengyun Zhou,et al.  Observation of discrete time-crystalline order in a disordered dipolar many-body system , 2016, Nature.

[39]  Alexander Szameit,et al.  Photonic Floquet Topological Insulators , 2013, CLEO 2013.

[40]  Vijay Narayan,et al.  Long-Lived Giant Number Fluctuations in a Swarming Granular Nematic , 2007, Science.

[41]  Thierry Mora,et al.  Local equilibrium in bird flocks , 2015, Nature Physics.

[42]  Robert Marsland,et al.  Statistical Physics of Adaptation , 2014, 1412.1875.

[43]  Phonons in a one-dimensional microfluidic crystal , 2006, 1008.1155.

[44]  Denis Bartolo,et al.  Topological sound in active-liquid metamaterials , 2016, Nature Physics.