Nonlinear standing waves in an array of coherently coupled Bose-Einstein condensates
Baals C, Ott H, Brand J, Mateo AM (2018)
Publication Type: Journal article
Publication year: 2018
Journal
Book Volume: 98
Article Number: 053603
Journal Issue: 5
DOI: 10.1103/PhysRevA.98.053603
Abstract
Stationary solitary waves are studied in an array of M linearly coupled one-dimensional Bose-Einstein condensates (BECs) by means of the Gross-Pitaevskii equation. Solitary wave solutions with the character of overlapping dark solitons, Josephson vortex-antivortex arrays, and arrays of half-dark solitons are constructed for M>2 from known solutions for two coupled BECs. Additional solutions resembling vortex dipoles and rarefaction pulses are found numerically. Stability analysis of the solitary waves reveals that overlapping dark solitons can become unstable and susceptible to decay into arrays of Josephson vortices. The Josephson vortex arrays have mixed stability but for all parameters we find at least one stationary solitary wave configuration that is dynamically stable. The different families of nonlinear standing waves bifurcate from one another. In particular we demonstrate that Josephson-vortex arrays bifurcate from dark soliton solutions at instability thresholds. The stability thresholds for dark soliton and Josephson-vortex type solutions are provided, suggesting the feasibility of realization with optical lattice experiments.
Involved external institutions
New Zealand (NZ)
Germany (DE)How to cite
APA:
Baals, C., Ott, H., Brand, J., & Mateo, A.M. (2018). Nonlinear standing waves in an array of coherently coupled Bose-Einstein condensates. Physical Review A, 98(5). https://dx.doi.org/10.1103/PhysRevA.98.053603
MLA:
Baals, Christian, et al. "Nonlinear standing waves in an array of coherently coupled Bose-Einstein condensates." Physical Review A 98.5 (2018).
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