Dissipative Nonlinear Thouless Pumping of Temporal Solitons

• Main Authors: Cao, Xuzhen, Jia, Chunyu, Hu, Ying, Liang, Zhaoxin
• Format: Journal Article
• Language: English
• Published: 05.09.2024
• Subjects: Physics - Pattern Formation and Solitons; Physics - Quantum Gases
• DOI: 10.48550/arxiv.2409.03450

The interplay between topology and soliton is a central topic in nonlinear topological physics. So far, most studies have been confined to conservative settings. Here, we explore Thouless pumping of dissipative temporal solitons in a nonconservative one-dimensional optical system with gain and spectral filtering, described by the paradigmatic complex Ginzburg-Landau equation. Two dissipatively induced nonlinear topological phase transitions are identified. First, when varying dissipative parameters across a threshold, the soliton transitions from being trapped in time to quantized drifting. This quantized temporal drift remains robust, even as the system evolves from a single-soliton state into multi-soliton state. Second, a dynamically emergent phase transition is found: the soliton is arrested until a critical point of its evolution, where a transition to topological drift occurs. Both phenomena uniquely arise from the dynamical interplay of dissipation, nonlinearity and topology.