Dynamics of Bose-Einstein condensates: exact representation and topological classification of coherent matter waves

DOI10.1155/2014/156513zbMath1470.82017OpenAlexW2031831832WikidataQ59035576 ScholiaQ59035576MaRDI QIDQ1722206

Qihuai Liu, Shengqiang Tang, Leilei Jia

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/156513

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
• Traveling wave solutions for a class of nonlinear dispersive equations
• Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential
• Resonant and non-resonant modulated amplitude waves for binary Bose--Einstein condensates in optical lattices
• Modulated amplitude waves with nonzero phases in Bose-Einstein condensates
• Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Bose-Einstein Condensates in Superlattices
• SPATIAL RESONANCE OVERLAP IN BOSE–EINSTEIN CONDENSATES IN SUPERLATTICE POTENTIALS
• Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation
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