Lieb´s soliton-like excitations in harmonic traps

Year: 2013

Authors: Astrakharchik GE., Pitaevskii LP.

Autors Affiliation: Univ Politecn Cataluna, Dept Fis & Engn Nucl, E-08034 Barcelona, Spain; Univ Trent, INO CNR BEC Ctr, I-38123 Povo, Trento, Italy; Univ Trent, Dipartimento Fis, I-38123 Povo, Trento, Italy; RAS, PL Kapitza Inst Phys Problems, Moscow 119334, Russia.

Abstract: We study the solitonic Lieb II branch of excitations in the one-dimensional Bose gas in homogeneous and trapped geometry. Using Bethe-ansatz Lieb’s equations we calculate the effective number of atoms and the effective mass of the excitation. The equations of motion of the excitation are defined by the ratio of these quantities. The frequency of oscillations of the excitation in a harmonic trap is calculated. It changes continuously from its soliton-like value omega(h) / root 2 in the high-density mean-field regime to omega(h) in the low-density Tonks-Girardeau regime with omega(h) the frequency of the harmonic trapping. Particular attention is paid to the effective mass of a soliton with velocity near the speed of sound. Copyright (C) EPLA, 2013

Journal/Review: EUROPHYSICS LETTERS

Volume: 102 (3)      Pages from: 30004-1  to: 30004-5

More Information: Authors thank J. BRAND, L. D. FADDEEV, D. M. GANGARDT, and L. I. GLAZMAN for fruitful discussions and M. GIRARDEAU for reading the manuscript and making useful comments on it. GEA acknowledges support from the Spanish MEC through the Ramon y Cajal fellowship program. LPP acknowledges support by ERC through the QGBE grant, by the Italian MIUR through the PRIN-2009 grant and by Provincia Autonoma di Trento.
KeyWords: Dimensional Quantum Liquids; Interacting Bose-gas; Impenetrable Bosons; State; Oscillations; Dynamics; Equation; Dark
DOI: 10.1209/0295-5075/102/30004

Citations: 16
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