Dissipative Nonlinear Thouless Pumping of Temporal Solitons
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 spect...
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Language | English |
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05.09.2024
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Abstract | 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. |
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AbstractList | 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. |
Author | Cao, Xuzhen Liang, Zhaoxin Hu, Ying Jia, Chunyu |
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BackLink | https://doi.org/10.48550/arXiv.2409.03450$$DView paper in arXiv |
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Snippet | The interplay between topology and soliton is a central topic in nonlinear
topological physics. So far, most studies have been confined to conservative... |
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SubjectTerms | Physics - Pattern Formation and Solitons Physics - Quantum Gases |
Title | Dissipative Nonlinear Thouless Pumping of Temporal Solitons |
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