Effective-range corrections to the ground-state energy of the weakly-interacting Bose gas in two dimensions

Abstract

Nonuniversal effects due to leading effective-range corrections are computed for the ground-state energy of the weakly-coupled repulsive Bose gas in two spatial dimensions. Using an effective field theory of contact interactions, these corrections are computed first by considering fluctuations around the mean-field free energy of a system of interacting bosons. This result is then confirmed by an exact calculation in which the energy of a finite number of bosons interacting in a square with period boundary conditions is computed and the thermodynamic limit is explicitly taken.

5 pages

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Superfluid behaviour of a two-dimensional Bose gas
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
• The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})
• Non-Universal Equation of State of the Two-Dimensional Bose Gas
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Cited by in corpus (6)

• Condensation and superfluidity of dilute Bose gases with finite-range interaction
• Zero-temperature equation of state of a two-dimensional bosonic quantum fluid with finite-range interaction
• On-shell approximation for the s-wave scattering theory
• Dimensional crossover in non-relativistic effective field theory
• Ground-state properties of a dilute two-dimensional Bose gas
• Toward precision Fermi liquid theory in two dimensions