Shock waves in quasi one-dimensional Bose-Einstein condensate

Year: 2016

Authors: Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, CNISM, Via Marzolo 8, I-35131 Padua, Italy; CNR INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy.

Abstract: We study analytically and numerically the generation of shock waves in a quasi-one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D nonpolynomial Schrodinger equation (1D NPSE), which takes into account density modulations in the transverse direction and generalizes the familiar 1D Gross-Pitaevskii equation (1D GPE). Comparing 1D NPSE with 1D GPE we find quantitative differences in the dynamics of shock waves regarding the velocity of propagation, the time of formation of the shock, and the wavelength of after-shock dispersive ripples.

Journal/Review: EUROPEAN PHYSICAL JOURNAL PLUS

Volume: 131 (3)      Pages from: 66-1  to: 66-8

More Information: The author acknowledges Dr Bogdan Damski for useful e-discussions during the earlier stage of this work and the Italian Ministry of Education, University and Research (MIUR) for partial support (PRIN Project 2010LLKJBX Collective Quantum Phenomena: from Strongly-Correlated Systems to Quantum Simulators). The author thanks the organizers of the Workshop Dispersive Hydrodynamics: The Mathematics of Dispersive Shock Waves and Applications, Banff Research Station, 2015.
KeyWords: Solitons; Gas
DOI: 10.1140/epjp/i2016-16066-x

Citations: 5
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