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Koniakhin SV, Bleu O, Stupin DD, Pigeon S, Maitre A, Claude F, Lerario G, Glorieux Q, Bramati A, Solnyshkov D, Malpuech G. Stationary Quantum Vortex Street in a Driven-Dissipative Quantum Fluid of Light. PHYSICAL REVIEW LETTERS 2019; 123:215301. [PMID: 31809176 DOI: 10.1103/physrevlett.123.215301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/10/2019] [Revised: 08/30/2019] [Indexed: 06/10/2023]
Abstract
We investigate the formation of a new class of density-phase defects in a resonantly driven 2D quantum fluid of light. The system bistability allows the formation of low-density regions containing density-phase singularities confined between high-density regions. We show that, in 1D channels, an odd (1 or 3) or even (2 or 4) number of dark solitons form parallel to the channel axis in order to accommodate the phase constraint induced by the pumps in the barriers. These soliton molecules are typically unstable and evolve toward stationary symmetric or antisymmetric arrays of vortex streets straightforwardly observable in cw experiments. The flexibility of this photonic platform allows implementing more complicated potentials such as mazelike channels, with the vortex streets connecting the entrances and thus solving the maze.
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Affiliation(s)
- S V Koniakhin
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
- St. Petersburg Academic University-Nanotechnology Research and Education Centre of the Russian Academy of Sciences, 194021 St. Petersburg, Russia
| | - O Bleu
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
- ARC Centre of Excellence in Future Low-Energy Electronics Technologies and School of Physics and Astronomy, Monash University, Melbourne, Victoria 3800, Australia
| | - D D Stupin
- St. Petersburg Academic University-Nanotechnology Research and Education Centre of the Russian Academy of Sciences, 194021 St. Petersburg, Russia
| | - S Pigeon
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - A Maitre
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - F Claude
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - G Lerario
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
- CNR NANOTEC, Istituto di Nanotecnologia, via Monteroni, 73100 Lecce, Italy
| | - Q Glorieux
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - A Bramati
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - D Solnyshkov
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
| | - G Malpuech
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
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Andrade-Silva I, Bortolozzo U, Castillo-Pinto C, Clerc MG, González-Cortés G, Residori S, Wilson M. Dissipative structures induced by photoisomerization in a dye-doped nematic liquid crystal layer. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2018; 376:rsta.2017.0382. [PMID: 30420545 PMCID: PMC6232603 DOI: 10.1098/rsta.2017.0382] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 05/13/2018] [Indexed: 06/09/2023]
Abstract
Order-disorder phase transitions driven by temperature or light in soft matter materials exhibit complex dissipative structures. Here, we investigate the spatio-temporal phenomena induced by light in a dye-doped nematic liquid crystal layer. Experimentally, for planar anchoring of the nematic layer and high enough input power, photoisomerization processes induce a nematic-isotropic phase transition mediated by interface propagation between the two phases. In the case of a twisted nematic layer and for intermediate input power, the light induces a spatially modulated phase, which exhibits stripe patterns. The pattern originates as an instability mediated by interface propagation between the modulated and the homogeneous nematic states. Theoretically, the phase transition, emergence of stripe patterns and front dynamics are described on the basis of a proposed model for the dopant concentration coupled with the nematic order parameter. Numerical simulations show quite a fair agreement with the experimental observations.This article is part of the theme issue 'Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 2)'.
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Affiliation(s)
- I Andrade-Silva
- Department of Physics, Facultad de Ciencias Físicas y Matemáticas, Millennium Institute for Research in Optics, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - U Bortolozzo
- UMR7010, CNRS, Université de Nice-Sophia Antipolis, Institut de Physique de Nice, 1361 Route des Lucioles, 06560 Valbonne, France
| | - C Castillo-Pinto
- Department of Physics, Facultad de Ciencias Físicas y Matemáticas, Millennium Institute for Research in Optics, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - M G Clerc
- Department of Physics, Facultad de Ciencias Físicas y Matemáticas, Millennium Institute for Research in Optics, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - G González-Cortés
- Department of Physics, Facultad de Ciencias Físicas y Matemáticas, Millennium Institute for Research in Optics, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - S Residori
- UMR7010, CNRS, Université de Nice-Sophia Antipolis, Institut de Physique de Nice, 1361 Route des Lucioles, 06560 Valbonne, France
| | - M Wilson
- CONACYT - CICESE, Carretera Ensenada-Tijuana 3918, Zona Playitas, C.P. 22860 Ensenada, Mexico
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Yan Y, Xu J, Wiercigroch M. Basins of attraction of the bistable region of time-delayed cutting dynamics. Phys Rev E 2017; 96:032205. [PMID: 29347033 DOI: 10.1103/physreve.96.032205] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2017] [Indexed: 06/07/2023]
Abstract
This paper investigates the effects of bistability in a nonsmooth time-delayed dynamical system, which is often manifested in science and engineering. Previous studies on cutting dynamics have demonstrated persistent coexistence of chatter and chatter-free responses in a bistable region located in the linearly stable zone. As there is no widely accepted definition of basins of attraction for time-delayed systems, bistable regions are coined as unsafe zones (UZs). Hence, we have attempted to define the basins of attraction and stability basins for a typical delayed system to get insight into the bistability in systems with time delays. Special attention was paid to the influences of delayed initial conditions, starting points, and states at time zero on the long-term dynamics of time-delayed systems. By using this concept, it has been confirmed that the chatter is prone to occur when the waviness frequency in the workpiece surface coincides with the effective natural frequency of the cutting process. Further investigations unveil a thin "boundary layer" inside the UZ in the immediate vicinity of the stability boundary, in which we observe an extremely fast growth of the chatter basin stability. The results reveal that the system is more stable when the initial cutting depth is smaller. The physics of the tool deflection at the instant of the tool-workpiece engagement is used to evaluate the cutting safety, and the safe level could be zero when the geometry of tool engagement is unfavorable. Finally, the basins of attraction are used to quench the chatter by a single strike, where the resultant "islands" offer an opportunity to suppress the chatter even when the cutting is very close to the stability boundary.
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Affiliation(s)
- Yao Yan
- School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
| | - Jian Xu
- School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
| | - Marian Wiercigroch
- Centre for Applied Dynamics Research, School of Engineering, King's College, University of Aberdeen, Aberdeen, AB24 3UE Scotland, UK
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