Abstract

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 μs) 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.

Highlights

  • AND MOTIVATIONSpin wave envelope (SWE) solitary waves in active magnetic thin film-based feedback rings (AFRs) have proven to be an effective sandbox for the exploration of fundamental nonlinear dynamics

  • Over the past two decades a rich variety of complex dynamical behaviors have been observed in dissipative SWE solitary waves propagating in these nonlinear, dispersive feedback rings

  • In this article we present the clean experimental realization of nontransient, long lifetime (10,000s of round trips) complex dynamical behaviors for SWE bright and dark solitary waves propagating within in an AFR

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Summary

INTRODUCTION

Spin wave envelope (SWE) solitary waves in active magnetic thin film-based feedback rings (AFRs) have proven to be an effective sandbox for the exploration of fundamental nonlinear dynamics. In this article we present the clean experimental realization of nontransient, long lifetime (10,000s of round trips) complex dynamical behaviors for SWE bright and dark solitary waves propagating within in an AFR These results are distinct from the study of dissipative solitons in the above mentioned systems where focus has generally remained on exploring transient behaviors, periodic modulations and isolating extreme events [38,39,40,41]. We report on the observation of all four of these behaviors for bright solitary waves and the first known realization of self-generation and dynamical pattern formation for dark solitary waves evolving under attractive nonlinearity These behaviors are promising for potential technological applications due to their persistently long lifetimes and robustness over wide parameter regimes.

EXPERIMENT AND METHODS
Active Magnetic thin film-based feedback Rings
Spin Waves in Magnetic Thin Films
PERIODIC BREATHERS
Bright Solitary Wave Periodic Breathing
Dark Solitary Wave Periodic Breathing
MULTI-PERIODIC BREATHING
COMPLEX RECURRENCE
SPONTANEOUS SPATIAL SHIFTS
INTERMITTENCY
Findings
VIII. CONCLUSIONS AND OUTLOOK
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