Collective oscillations of a one-dimensional trapped Bose-Einstein gas

By C. Menotti, S. Stringari. 2002

208 citations recorded by the source corpus.

Starting from the hydrodynamic equations of superfluids, we calculate the frequencies of the collective oscillations of a harmonically trapped Bose-Einstein gas for various one-dimensional configurations at zero temperature. These include the mean-field regime described by Gross-Pitaevskii theory and the beyond-mean-field regime at small densities described by the Lieb-Liniger theory. The relevant combinations of the physical parameters governing the transition between the different regimes as well as the conditions of applicability of the hydrodynamic equations are discussed.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/b2c8f6f81fb7ea7d4ba7949d3942f73f40d59052

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

One dimensional bosons: From condensed matter systems to ultracold gases (2011, methodology): “…in a series of theoretical papers (Dunjko et al., 2001; Petrov et al., 2004), while the consequences of harmonic trapping on the collective excitations were analyzed by an hydrodynamic approach in (Gangardt and Shlyapnikov, 2006; Ma and Ho, 1999; Menotti and Stringari, 2002; Petrov et al., 2000).”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “…different quantum states can be tested from measuring the frequencies of the lowest breathing mode from the mean square radius of the 1D trapped gases in a harmonic potential (Astrakharchik et al., 2004; Menotti and Stringari, 2002), e.g., in the super TonksGirardeau Bose gas (Haller et al., 2009).”