| Issue |
Europhys. Lett.
Volume 59, Number 6, September II 2002
|
|
|---|---|---|
| Page(s) | 793 - 799 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00112-5 | |
| 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
Received:
13
May
2002
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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