Interacting trapped bosons yield fragmented condensate states in low dimensions

2009/08/31 by Uwe R. Fischer, Philipp Bader · 37 citations
Physics and Astronomy · #Bose–Einstein condensate #Boson #Coalescence (physics) #Coherence (philosophical gambling strategy) #Cold Atom Physics and Bose-Einstein Condensates #Dimensionless quantity #Fragmentation (computing) #Physics #Population #Quantum mechanics #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Thermodynamic limit #Thermodynamics #Yield (engineering) #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.82.013607

published in Physical Review A 82(1) (American Physical Society) · 9 pages of RevTex4-1, 4 figures; as published in Physical Review A

openalex publication_date 2010/07/09 · arxiv created 2010/07/21 · arxiv updated 2010/07/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the level population statistics and degree of coherence encoded in the single-particle density matrix of harmonically trapped low-dimensional [quasi-one-dimensional (quasi-1D) or quasi-two-dimensional (quasi-2D)] Bose gases with repulsive contact interactions. Using a variational analysis, we derive fragmentation of the condensate in the weakly confining directions into two (quasi-1D) and three (quasi-2D) mutually incoherent macroscopic pieces, upon increasing a dimensionless interaction measure beyond a critical value. Fragmented condensate many-body states in low-dimensional systems therefore occur well before the thermodynamic limit of infinite extension is reached, in which phase fluctuations of the matter wave field create an infinite number of nonmacroscopic fragments.

Citations

• Existence of Long-Range Order for Trapped Interacting Bosons
• Existence of Long-Range Order in One and Two Dimensions
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons
• Uncertainty principle, quantum fluctuations, and broken symmetries
• Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas
• Nonlinearity-assisted quantum tunnelling in a matter-wave interferometer

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• Revealing Single-Trap Condensate Fragmentation by Measuring Density-Density Correlations after Time of Flight