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Title: Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap

Abstract

We study the ground state of few bosons with repulsive dipole-dipole interaction in a quasi-one-dimensional harmonic trap by means of the exact diagonalization method. Up to three interaction regimes are found, depending on the strength of the dipolar interaction and the ratio of transverse to axial oscillator lengths: a regime where the dipolar Bose gas resembles a system of weakly {delta}-interacting bosons, a second regime where the bosons are fermionized, and a third regime where the bosons form a Wigner crystal. In the first two regimes, the dipole-dipole potential can be replaced by a {delta} potential. In the crystalline state, the overlap between the localized wave packets is strongly reduced and all the properties of the boson system equal those of its fermionic counterpart. The transition from the Tonks-Girardeau gas to the solidlike state is accompanied by a rapid increase of the interaction energy and a considerable change of the momentum distribution, which we trace back to the different short-range correlations in the two interaction regimes.

Authors:
 [1]; ;  [2]
  1. Institut fuer Theoretische Physik, Leibniz Universitaet Hannover, Appelstrasse 2, D-30167 Hannover (Germany)
  2. Mathematical Physics, LTH, Lund University, Post Office Box 118, S-22100 Lund (Sweden)
Publication Date:
OSTI Identifier:
21439519
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.063616; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS; BOSE-EINSTEIN GAS; BOSONS; CORRELATIONS; CRYSTALS; DIPOLES; DISTRIBUTION; FERMIONS; GROUND STATES; OSCILLATORS; POTENTIALS; TRAPS; WAVE PACKETS; ELECTRONIC EQUIPMENT; ENERGY LEVELS; EQUIPMENT; MULTIPOLES

Citation Formats

Deuretzbacher, F, Cremon, J C, and Reimann, S M. Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.063616.
Deuretzbacher, F, Cremon, J C, & Reimann, S M. Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap. United States. https://doi.org/10.1103/PHYSREVA.81.063616
Deuretzbacher, F, Cremon, J C, and Reimann, S M. Tue . "Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap". United States. https://doi.org/10.1103/PHYSREVA.81.063616.
@article{osti_21439519,
title = {Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap},
author = {Deuretzbacher, F and Cremon, J C and Reimann, S M},
abstractNote = {We study the ground state of few bosons with repulsive dipole-dipole interaction in a quasi-one-dimensional harmonic trap by means of the exact diagonalization method. Up to three interaction regimes are found, depending on the strength of the dipolar interaction and the ratio of transverse to axial oscillator lengths: a regime where the dipolar Bose gas resembles a system of weakly {delta}-interacting bosons, a second regime where the bosons are fermionized, and a third regime where the bosons form a Wigner crystal. In the first two regimes, the dipole-dipole potential can be replaced by a {delta} potential. In the crystalline state, the overlap between the localized wave packets is strongly reduced and all the properties of the boson system equal those of its fermionic counterpart. The transition from the Tonks-Girardeau gas to the solidlike state is accompanied by a rapid increase of the interaction energy and a considerable change of the momentum distribution, which we trace back to the different short-range correlations in the two interaction regimes.},
doi = {10.1103/PHYSREVA.81.063616},
url = {https://www.osti.gov/biblio/21439519}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 81,
place = {United States},
year = {2010},
month = {6}
}