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Localization and shock waves in curved manifolds

2013/02/28 by Claudio Conti
Engineering · Mathematics · Physics and Astronomy · #Bent molecular geometry #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Engineering #Geometry #Mathematics #Mechanical and Optical Resonators #Mechanics #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum mechanics #Shock (circulatory) #Shock wave #Space (punctuation) #Structural engineering #Topological defect #Topology (electrical circuits) #Work (physics) #cond-mat.quant-gas #nlin.PS #physics.optics

paper · pdf · doi:10.1007/s11434-016-1040-z

published as Science Bullettin 61, 570 (2016) · 5 pages, 4 figures, minor corrections

arxiv created 2013/04/04 · openalex publication_date 2016/03/10 · arxiv updated 2016/04/05 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/05

Abstract

We investigate the dynamics of a Bose-Einstein condensate in a progressively bended three dimensional cigar shaped potential. The interplay between geometry and nonlinearity is considered. At high curvature, topological localization occurs and becomes frustrated by the generation of curved dispersive shock-waves when the strength of nonlinearity is increased. The analysis is supported by four-dimensional parallel simulations.

Citations