Bose-Einstein condensation temperature of a homogeneous weakly interacting Bose gas in variational perturbation theory through six loops

Journal Article · Mon Dec 01 00:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.061601· OSTI ID:20640437

Kastening, Boris ^[1]

---

1. Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, D-14195 Berlin (Germany)

We compute the shift of the transition temperature for a homogeneous weakly interacting Bose gas in leading order in the scattering length a for given particle density n. Using variational perturbation theory through six loops in a classical three-dimensional scalar field theory, we obtain {delta}T{sub c}/T{sub c}=1.25{+-}0.13an{sup 1/3}, in agreement with recent Monte Carlo results.

• OSTI ID: 20640437
• Journal Information: Physical Review. A, Vol. 68, Issue 6; Other Information: DOI: 10.1103/PhysRevA.68.061601; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
DENSITY
MONTE CARLO METHOD
PERTURBATION THEORY
SCALAR FIELDS
SCATTERING LENGTHS
SCHROEDINGER EQUATION
THREE-DIMENSIONAL CALCULATIONS
TRANSITION TEMPERATURE
VARIATIONAL METHODS