Volume 59, Number 6, September II 2002
|Page(s)||793 - 799|
|Published online||01 September 2002|
Low-energy properties of a one-dimensional system of interacting bosons with boundaries
The Abdus Salam ICTP -
Strada Costiera 11, 34014 Trieste, Italy, and
Donostia International Physics Center (DIPC)
Manuel de Lardizabal 4,
20018 Donostia, Spain
Accepted: 28 July 2002
The ground-state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary conditions. The boson density, one-particle density matrix, and momentum distribution are obtained accounting for finite-size and boundary effects. Friedel oscillations are found in the density. Finite-size scaling of the momentum distribution at zero momentum is proposed as a method to obtain from the experiment the exponent that governs phase correlations. The strong correlations between bosons induced by reduced dimensionality and interactions are displayed by a Bijl-Jastrow wave function for the ground state, which is also derived.
PACS: 05.30.-d – Quantum statistical mechanics / 67.40.Db – Quantum statistical theory; ground state, elementary excitations / 05.30.Jp – Boson systems
© EDP Sciences, 2002
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