Asymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions
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Lee, Jen; Guan, Xi-Wen; del Campo, A; Batchelor, Murray
Description
We propose a one-dimensional model of spinor bosons with SU(2) symmetry and a two-body finite-range Gaussian interaction potential. We show that the model is exactly solvable when the width of the interaction potential is much smaller than the interparticle separation. This model is then solved via the asymptotic Bethe-ansatz technique. The ferromagnetic ground-state energy and chemical potential are derived analytically. We also investigate the effects of a finite-range potential on the...[Show more]
dc.contributor.author | Lee, Jen | |
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dc.contributor.author | Guan, Xi-Wen | |
dc.contributor.author | del Campo, A | |
dc.contributor.author | Batchelor, Murray | |
dc.date.accessioned | 2015-12-10T23:07:02Z | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.uri | http://hdl.handle.net/1885/62915 | |
dc.description.abstract | We propose a one-dimensional model of spinor bosons with SU(2) symmetry and a two-body finite-range Gaussian interaction potential. We show that the model is exactly solvable when the width of the interaction potential is much smaller than the interparticle separation. This model is then solved via the asymptotic Bethe-ansatz technique. The ferromagnetic ground-state energy and chemical potential are derived analytically. We also investigate the effects of a finite-range potential on the density profiles through the local-density approximation. Finite-range potentials are more likely to lead to quasi-Bose-Einstein condensation than zero-range potentials. | |
dc.publisher | American Physical Society | |
dc.rights | Author/s retain copyright | |
dc.source | Physical Review A: Atomic, Molecular and Optical Physics | |
dc.subject | Keywords: Bethe ansatz solution; Density profile; Gaussian interaction; Ground-state energies; Inter-particle separation; Interaction potentials; One-dimensional model; Zero-range potentials; Bose-Einstein condensation; Chemical analysis; Statistical mechanics; Bos | |
dc.title | Asymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 85 | |
dc.date.issued | 2012 | |
local.identifier.absfor | 020601 - Degenerate Quantum Gases and Atom Optics | |
local.identifier.absfor | 010502 - Integrable Systems (Classical and Quantum) | |
local.identifier.ariespublication | f5625xPUB750 | |
local.type.status | Published Version | |
local.contributor.affiliation | Lee, Jen, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Guan, Xi-Wen, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | del Campo, A, Leibniz Universiat | |
local.contributor.affiliation | Batchelor, Murray, College of Physical and Mathematical Sciences, ANU | |
local.bibliographicCitation.issue | 1 | |
local.bibliographicCitation.startpage | 013629,1 | |
local.bibliographicCitation.lastpage | 13 | |
local.identifier.doi | 10.1103/PhysRevA.85.013629 | |
local.identifier.absseo | 970102 - Expanding Knowledge in the Physical Sciences | |
local.identifier.absseo | 970101 - Expanding Knowledge in the Mathematical Sciences | |
dc.date.updated | 2016-02-24T09:35:18Z | |
local.identifier.scopusID | 2-s2.0-84862969417 | |
local.identifier.thomsonID | 000299421400010 | |
dcterms.accessRights | Open Access | |
Collections | ANU Research Publications |
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