Abstract:
Soliton dynamics in a one-dimensional trap with immobile and oscillating walls has been analyzed by the example of an atomic Bose-Einstein condensate. Agreement between the consequences of a simplified Newton’s equation describing the interaction of a soliton with its antiphase mirror reflections and the initial Gross-Pitaevskii equation has been demonstrated. Comparison with the dynamics of a classical point particle in the Fermi-Ulam problem has been carried out.
Citation:
N. N. Rozanov, N. V. Vysotina, “Soliton in stationary and dynamical traps”, Pis'ma v Zh. Èksper. Teoret. Fiz., 100:8 (2014), 566–569; JETP Letters, 100:8 (2014), 508–511