Observation of Pattern Stabilization in a Driven Superfluid

The formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on the basis of linear stability analyses, the longtime dynamic...

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Main Authors: Nikolas Liebster, Marius Sparn, Elinor Kath, Jelte Duchene, Keisuke Fujii, Sarah L. Görlitz, Tilman Enss, Helmut Strobel, Markus K. Oberthaler
Format: Article
Language:English
Published: American Physical Society 2025-02-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.15.011026
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author Nikolas Liebster
Marius Sparn
Elinor Kath
Jelte Duchene
Keisuke Fujii
Sarah L. Görlitz
Tilman Enss
Helmut Strobel
Markus K. Oberthaler
author_facet Nikolas Liebster
Marius Sparn
Elinor Kath
Jelte Duchene
Keisuke Fujii
Sarah L. Görlitz
Tilman Enss
Helmut Strobel
Markus K. Oberthaler
author_sort Nikolas Liebster
collection DOAJ
description The formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on the basis of linear stability analyses, the longtime dynamics can only be described by accounting for the interactions between the excitations generated by the drive. Here, we observe the stabilization of square patterns in an interaction-driven, two-dimensional Bose-Einstein condensate. These patterns emerge due to inherent high-order processes that become relevant in the regime of large phonon occupations. Theoretically, this can be understood as the emergence of a stable fixed point of coupled nonlinear amplitude equations, which include phonon-phonon interactions. We experimentally probe the predicted flows toward such a stable fixed point, as well as repulsion from a saddle fixed point, using the experimental control unique to quantum gases.
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institution Kabale University
issn 2160-3308
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publishDate 2025-02-01
publisher American Physical Society
record_format Article
series Physical Review X
spelling doaj-art-0d38b166df9d4ba0afce63d10bae86c22025-02-07T15:06:02ZengAmerican Physical SocietyPhysical Review X2160-33082025-02-0115101102610.1103/PhysRevX.15.011026Observation of Pattern Stabilization in a Driven SuperfluidNikolas LiebsterMarius SparnElinor KathJelte DucheneKeisuke FujiiSarah L. GörlitzTilman EnssHelmut StrobelMarkus K. OberthalerThe formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on the basis of linear stability analyses, the longtime dynamics can only be described by accounting for the interactions between the excitations generated by the drive. Here, we observe the stabilization of square patterns in an interaction-driven, two-dimensional Bose-Einstein condensate. These patterns emerge due to inherent high-order processes that become relevant in the regime of large phonon occupations. Theoretically, this can be understood as the emergence of a stable fixed point of coupled nonlinear amplitude equations, which include phonon-phonon interactions. We experimentally probe the predicted flows toward such a stable fixed point, as well as repulsion from a saddle fixed point, using the experimental control unique to quantum gases.http://doi.org/10.1103/PhysRevX.15.011026
spellingShingle Nikolas Liebster
Marius Sparn
Elinor Kath
Jelte Duchene
Keisuke Fujii
Sarah L. Görlitz
Tilman Enss
Helmut Strobel
Markus K. Oberthaler
Observation of Pattern Stabilization in a Driven Superfluid
Physical Review X
title Observation of Pattern Stabilization in a Driven Superfluid
title_full Observation of Pattern Stabilization in a Driven Superfluid
title_fullStr Observation of Pattern Stabilization in a Driven Superfluid
title_full_unstemmed Observation of Pattern Stabilization in a Driven Superfluid
title_short Observation of Pattern Stabilization in a Driven Superfluid
title_sort observation of pattern stabilization in a driven superfluid
url http://doi.org/10.1103/PhysRevX.15.011026
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