Ground State Energy of the Two-Dimensional Weakly Interacting Bose Gas: First Correction Beyond Bogoliubov Theory

Journal Article · Fri May 08 04:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.102.180404· OSTI ID:21316675

Mora, Christophe ^[1]; Castin, Yvan ^[2]

---

1. Laboratoire Pierre Aigrain, Ecole Normale Superieure and CNRS, Universite Denis Diderot 7 and UPMC, 24 rue Lhomond, 75005 Paris (France)
2. Laboratoire Kastler Brossel, Ecole Normale Superieure and CNRS, UPMC, 24 rue Lhomond, 75005 Paris (France)

We consider the grand potential {omega} of a two-dimensional weakly interacting homogeneous Bose gas at zero temperature. Building on a number-conserving Bogoliubov method for a lattice model in the grand canonical ensemble, we calculate the next order term as compared to the Bogoliubov prediction, in a systematic expansion of {omega} in powers of the parameter measuring the weakness of the interaction. Our prediction is in very good agreement with recent Monte Carlo calculations.

• OSTI ID: 21316675
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 102; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN GAS
CORRECTIONS
FORECASTING
GROUND STATES
MONTE CARLO METHOD
TWO-DIMENSIONAL CALCULATIONS