Many-particle systems in one dimension in the harmonic approximation

J. R. Armstrong, N. T. Zinner, D. V. Fedorov, A. S. Jensen

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider the energetics and structural properties of a many-particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic approximation scheme at the level of the Hamiltonian. We investigate the scaling with particle number of the ground-state energies for systems consisting of identical bosons or fermions. We then proceed to focus on bosonic systems and make a detailed comparison with known exact results in the absence of the parabolic external trap for three-body systems. We also consider the thermodynamics of the harmonic model, which turns out to be similar for bosons and fermions due to the lack of degeneracy in one dimension.

Original languageEnglish (US)
Article number014061
JournalPhysica Scripta
Issue numberT151
DOIs
StatePublished - Nov 1 2012

Fingerprint

Many-particle System
One Dimension
bosons
Harmonic
fermions
harmonics
Bosons
Fermions
Approximation
approximation
electric contacts
Ground State Energy
traps
Approximation Scheme
Exact Results
Degeneracy
Trap
scaling
Structural Properties
thermodynamics

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

Cite this

Many-particle systems in one dimension in the harmonic approximation. / Armstrong, J. R.; Zinner, N. T.; Fedorov, D. V.; Jensen, A. S.

In: Physica Scripta, No. T151, 014061, 01.11.2012.

Research output: Contribution to journalArticle

Armstrong, J. R. ; Zinner, N. T. ; Fedorov, D. V. ; Jensen, A. S. / Many-particle systems in one dimension in the harmonic approximation. In: Physica Scripta. 2012 ; No. T151.
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