Violation of self-similarity in the expansion of a one-dimensional Bose gas

Journal Article · Wed Oct 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.043601· OSTI ID:20640364

Pedri, P ^[1]; Santos, L ^[1]; Oehberg, P ^[2]; Stringari, S ^[3]

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1. Institut fuer Theoretische Physik, Universitaet Hannover, D-30167 Hannover (Germany)
2. Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland (United Kingdom)
3. Dipartimento di Fisica, Universita di Trento and BEC-INFM, I-38050 Povo (Italy)

The expansion of a one-dimensional Bose gas after releasing its initial harmonic confinement is investigated employing the Lieb-Liniger equation of state within the local-density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean-field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.

• OSTI ID: 20640364
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN GAS
BOSONS
CONFINEMENT
DENSITY
DENSITY FUNCTIONAL METHOD
EQUATIONS OF STATE
EQUILIBRIUM
EXPANSION
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
ONE-DIMENSIONAL CALCULATIONS