Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory

Abstract

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.

4 pages, 1 figure, published in Phys. Rev. Lett

References in corpus (2)

• Many-Body Physics with Ultracold Gases
• Extension of Bogoliubov theory to quasi-condensates

Cited by in corpus (25)

• Observation of scale invariance and universality in two-dimensional Bose gases
• Strongly Interacting Two-Dimensional Bose Gases
• Topological superfluid transition in bubble-trapped condensates
• Microscopic pairing theory of a binary Bose mixture with interspecies attractions: bosonic BEC-BCS crossover and ultradilute low-dimensional quantum droplets
• Vortex motion quantifies strong dissipation in a holographic superfluid
• Composite bosons in the 2D BCS-BEC crossover from Gaussian fluctuations
• Non-Universal Equation of State of the Two-Dimensional Bose Gas
• Ground state energy of the interacting Bose gas in two dimensions: an explicit construction
• Shell-shaped atomic gases
• Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature
• Condensation and superfluidity of dilute Bose gases with finite-range interaction
• The excitation spectrum of two dimensional Bose gases in the Gross-Pitaevskii regime
• 2D dilute Bose mixture at low temperatures
• 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
• Berezinskii-Kosterlitz-Thouless phase transition with Rabi-coupled bosons
• Sound modes in collisional superfluid Bose gases
• Self-consistent Description of Bose-Bose Droplets: Modified Gapless Hartree-Fock-Bogoliubov Method
• Self-consistent Description of Bose-Bose Droplets: Harmonically Trapped Quasi-2D Droplets
• Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
• Lower bounds on the energy of the Bose gas
• Phonon damping in a 2D superfluid: insufficiency of Fermi's golden rule at low temperature
• The variational theorem for the scattering length in low dimensions and its applications to universal systems
• Beyond-mean-field analysis of the Townes soliton and its breathing mode
• Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime