Abstract
The leading-order effect of interactions on a homogeneous Bose gas is theoretically predicted to shift the critical temperature by an amount DeltaT(c) approximately equal to ca(sc)n(1/3)T(0) from the ideal gas result T(0), where a(sc) is the scattering length, n is the density, and c is a pure number. There have been several different theoretical estimates for c. We claim to settle the issue by measuring the numerical coefficient in a lattice simulation of O(2) straight phi(4) field theory in three dimensions-an effective theory which, as observed previously in the literature, can be systematically matched to the dilute Bose gas problem to reproduce nonuniversal quantities such as the critical temperature. We find c = 1.32+/-0.02.
Keywords
Bose gasHomogeneousPhysicsImperfectLattice (music)Order (exchange)Ideal gasScatteringScattering lengthCondensed matter physicsThermodynamicsStatistical physicsQuantum mechanicsBose–Einstein condensate
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Publication Info
- Year
- 2001
- Type
- article
- Volume
- 87
- Issue
- 12
- Pages
- 120401-120401
- Citations
- 203
- Access
- Closed
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Cite This
Peter Arnold,
Guy D. Moore
(2001).
BEC Transition Temperature of a Dilute Homogeneous Imperfect Bose Gas.
Physical Review Letters
, 87
(12)
, 120401-120401.
https://doi.org/10.1103/physrevlett.87.120401
Identifiers
- DOI
- 10.1103/physrevlett.87.120401