Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
We investigate pattern formation in two-dimensional Bose-Einstein condensates (BECs) caused by periodic driving of the interatomic interaction. We show that this modulation generically leads to a stable square grid density pattern, due to nonlinear effects beyond the initial Faraday instability. We...
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| Hauptverfasser: | , , , , , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2024
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| In: |
Physical review. A, Atomic, molecular, and optical physics
Year: 2024, Jahrgang: 109, Heft: 5, Pages: L051301-1-L051301-6 |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.109.L051301 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.109.L051301 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.109.L051301 
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| Verfasserangaben: | Keisuke Fujii, Sarah L. Görlitz, Nikolas Liebster, Marius Sparn, Elinor Kath, Helmut Strobel, Markus K. Oberthaler, and Tilman Enss |
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| 245 | 1 | 0 | |a Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates |c Keisuke Fujii, Sarah L. Görlitz, Nikolas Liebster, Marius Sparn, Elinor Kath, Helmut Strobel, Markus K. Oberthaler, and Tilman Enss |
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| 520 | |a We investigate pattern formation in two-dimensional Bose-Einstein condensates (BECs) caused by periodic driving of the interatomic interaction. We show that this modulation generically leads to a stable square grid density pattern, due to nonlinear effects beyond the initial Faraday instability. We take the amplitudes of two waves parametrizing the two-dimensional density pattern as order parameters in pattern formation. For these amplitudes, we derive a set of coupled time-evolution equations from the Gross-Pitaevskii equation with a time-periodic interaction. We identify the fixed points of the time evolution and show by stability analysis that the inhomogeneous density exhibits a square grid pattern, which can be understood as a manifestation of a stable fixed point. Our stability analysis establishes the pattern in BECs as a nonequilibrium steady state. | ||
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