Ermakov-Lewis Invariants of the Gross-Pitaevskii Equation
J.M.F.Bassalo, P.T.S.Alencar, D.G.Silva, A.B.Nassar, M. Cattani
TL;DR
This paper investigates Ermakov-Lewis invariants within the nonlinear Gross-Pitaevskii equation, providing insights into conserved quantities and symmetries relevant to Bose-Einstein condensates.
Contribution
It introduces a novel analysis of Ermakov-Lewis invariants specifically tailored to the nonlinear Gross-Pitaevskii equation, expanding understanding of its conserved properties.
Findings
Identification of Ermakov-Lewis invariants for the equation
Insights into symmetry properties of the nonlinear system
Potential applications to Bose-Einstein condensate dynamics
Abstract
In this work we study the Ermakov-Lewis invariants of the non-linear Gross-Pitaeviskii equation
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Advanced NMR Techniques and Applications · Topological Materials and Phenomena