Increase the stability range of non-reciprocal breathing solitons

Determine how to increase the range of stability (i.e., the parameter regime and lifetime) of traveling non-reciprocal breathing solitons in non-reciprocal active metamaterials that balance non-reciprocal gain and dissipation.

Background

The paper reports the observation and analysis of traveling breathing solitons in non-reciprocal active metamaterials, supported by numerical simulations and perturbation theory on non-reciprocal sine-Gordon and nonlinear Schrödinger equations. The solitons persist only within a narrow window where non-reciprocal gain and damping are delicately balanced and initial conditions are tuned near a bifurcation point associated with an unstable fixed point.

Expanding the stability range would enable more robust and practical realization of long-lived unidirectional breathers, alleviating the current need for fine-tuning and enhancing applicability in experimental platforms.