Dissipative Nonlinear Thouless Pumping of Temporal Solitons
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913492188004352 |
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| author | Cao, Xuzhen Jia, Chunyu Hu, Ying Liang, Zhaoxin |
| author_facet | Cao, Xuzhen Jia, Chunyu Hu, Ying Liang, Zhaoxin |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_03450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dissipative Nonlinear Thouless Pumping of Temporal Solitons Cao, Xuzhen Jia, Chunyu Hu, Ying Liang, Zhaoxin Quantum Gases Pattern Formation and 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 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. |
| title | Dissipative Nonlinear Thouless Pumping of Temporal Solitons |
| topic | Quantum Gases Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2409.03450 |