Physical realization of complex dynamical pattern formation in magnetic active feedback rings
We report the clean experimental realization of cubic–quintic complex Ginzburg–Landau (CQCGL) physics in a single driven, damped system. Four numerically predicted categories of complex dynamical behavior and pattern formation are identified for bright and dark solitary waves propagating around an a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ac47cb |
| _version_ | 1797748579825090560 |
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| author | Justin Q Anderson P A Praveen Janantha Diego A Alcala Mingzhong Wu Lincoln D Carr |
| author_facet | Justin Q Anderson P A Praveen Janantha Diego A Alcala Mingzhong Wu Lincoln D Carr |
| author_sort | Justin Q Anderson |
| collection | DOAJ |
| description | We report the clean experimental realization of cubic–quintic complex Ginzburg–Landau (CQCGL) physics in a single driven, damped system. Four numerically predicted categories of complex dynamical behavior and pattern formation are identified for bright and dark solitary waves propagating around an active magnetic thin film-based feedback ring: (1) periodic breathing; (2) complex recurrence; (3) spontaneous spatial shifting; and (4) intermittency. These nontransient, long lifetime behaviors are observed in self-generated spin wave envelopes circulating within a dispersive, nonlinear yttrium iron garnet waveguide. The waveguide is operated in a ring geometry in which the net losses are directly compensated for via linear amplification on each round trip (of the order of 100 ns). These behaviors exhibit periods ranging from tens to thousands of round trip times (of the order of μ s) and are stable for 1000s of periods (of the order of ms). We present ten observations of these dynamical behaviors which span the experimentally accessible ranges of attractive cubic nonlinearity, dispersion, and external field strength that support the self-generation of backward volume spin waves in a four-wave-mixing dominant regime. Three-wave splitting is not explicitly forbidden and is treated as an additional source of nonlinear losses. All observed behaviors are robust over wide parameter regimes, making them promising for technological applications. We present ten experimental observations which span all categories of dynamical behavior previously theoretically predicted to be observable. This represents a complete experimental verification of the CQCGL equation as a model for the study of fundamental, complex nonlinear dynamics for driven, damped waves evolving in nonlinear, dispersive systems. The reported dynamical pattern formation of self-generated dark solitary waves in attractive nonlinearity without external sources or potentials, however, is entirely novel and is presented for both the periodic breather and complex recurrence behaviors. |
| first_indexed | 2024-03-12T16:07:48Z |
| format | Article |
| id | doaj.art-affe5251d35c4bb7bb4e9f3f21fc1471 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:07:48Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-affe5251d35c4bb7bb4e9f3f21fc14712023-08-09T14:17:41ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124303301810.1088/1367-2630/ac47cbPhysical realization of complex dynamical pattern formation in magnetic active feedback ringsJustin Q Anderson0P A Praveen Janantha1Diego A Alcala2Mingzhong Wu3Lincoln D Carr4https://orcid.org/0000-0002-4848-7941Department of Physics, Colorado School of Mines , Golden, Colorado 80401, United States of AmericaDepartment of Physics, Colorado State University , Fort Collins, Colorado 80523, United States of AmericaDepartment of Physics, Colorado School of Mines , Golden, Colorado 80401, United States of AmericaDepartment of Physics, Colorado State University , Fort Collins, Colorado 80523, United States of AmericaDepartment of Physics, Colorado School of Mines , Golden, Colorado 80401, United States of America; Department of Physics, Colorado State University , Fort Collins, Colorado 80523, United States of America; Quantum Engineering Program, Colorado School of Mines , Golden, Colorado 80401, United States of AmericaWe report the clean experimental realization of cubic–quintic complex Ginzburg–Landau (CQCGL) physics in a single driven, damped system. Four numerically predicted categories of complex dynamical behavior and pattern formation are identified for bright and dark solitary waves propagating around an active magnetic thin film-based feedback ring: (1) periodic breathing; (2) complex recurrence; (3) spontaneous spatial shifting; and (4) intermittency. These nontransient, long lifetime behaviors are observed in self-generated spin wave envelopes circulating within a dispersive, nonlinear yttrium iron garnet waveguide. The waveguide is operated in a ring geometry in which the net losses are directly compensated for via linear amplification on each round trip (of the order of 100 ns). These behaviors exhibit periods ranging from tens to thousands of round trip times (of the order of μ s) and are stable for 1000s of periods (of the order of ms). We present ten observations of these dynamical behaviors which span the experimentally accessible ranges of attractive cubic nonlinearity, dispersion, and external field strength that support the self-generation of backward volume spin waves in a four-wave-mixing dominant regime. Three-wave splitting is not explicitly forbidden and is treated as an additional source of nonlinear losses. All observed behaviors are robust over wide parameter regimes, making them promising for technological applications. We present ten experimental observations which span all categories of dynamical behavior previously theoretically predicted to be observable. This represents a complete experimental verification of the CQCGL equation as a model for the study of fundamental, complex nonlinear dynamics for driven, damped waves evolving in nonlinear, dispersive systems. The reported dynamical pattern formation of self-generated dark solitary waves in attractive nonlinearity without external sources or potentials, however, is entirely novel and is presented for both the periodic breather and complex recurrence behaviors.https://doi.org/10.1088/1367-2630/ac47cbspin wavesnonlinear dynamicscomplexityGinzburg–Landau equationdriven dissipative systems |
| spellingShingle | Justin Q Anderson P A Praveen Janantha Diego A Alcala Mingzhong Wu Lincoln D Carr Physical realization of complex dynamical pattern formation in magnetic active feedback rings New Journal of Physics spin waves nonlinear dynamics complexity Ginzburg–Landau equation driven dissipative systems |
| title | Physical realization of complex dynamical pattern formation in magnetic active feedback rings |
| title_full | Physical realization of complex dynamical pattern formation in magnetic active feedback rings |
| title_fullStr | Physical realization of complex dynamical pattern formation in magnetic active feedback rings |
| title_full_unstemmed | Physical realization of complex dynamical pattern formation in magnetic active feedback rings |
| title_short | Physical realization of complex dynamical pattern formation in magnetic active feedback rings |
| title_sort | physical realization of complex dynamical pattern formation in magnetic active feedback rings |
| topic | spin waves nonlinear dynamics complexity Ginzburg–Landau equation driven dissipative systems |
| url | https://doi.org/10.1088/1367-2630/ac47cb |
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