Non-Universal Equation of State of the Two-Dimensional Bose Gas

Abstract

For a dilute two-dimensional Bose gas the universal equation of state has a logarithmic dependence on the s-wave scattering length. Here we derive non-universal corrections to this equation of state taking account finite-range effects of the inter-atomic potential. Our beyond-mean-field analytical results are obtained performing dimensional regularization of divergent zero-point quantum fluctuations within the finite-temperature formalism of functional integration. In particular, we find that in the grand canonical ensemble the pressure has a nonpolynomial dependence on the finite- range parameter and it is a highly nontrivial function of chemical potential and temperature.

arXiv comment5 pages, to be published in Phys. Rev. Lett

References in corpus (21)

• Theory of the Weakly Interacting Bose Gas
• Contact Measurements on Atomic BEC
• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Exploring the thermodynamics of a two-dimensional Bose gas
• Structure and stability of bosonic clouds: alkali atoms with negative scattering length
• Energy dependent scattering and the Gross-Pitaevskii Equation in two dimensional Bose-Einstein condensates
• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
• Nonuniversal Effects in the Homogeneous Bose Gas
• Beyond Fermi pseudopotential: a modified GP equation
• Energy-dependent effective interactions for dilute many-body systems
• Zero-point energy of ultracold atoms
• Effective s- and p-Wave Contact Interactions in Trapped Degenerate Fermi Gases
• Stability of a BEC with Higher-order Interactions near a Feshbach Resonance
• The equation of state of ultracold Bose and Fermi gases: a few examples
• A simple model for interactions and corrections to the Gross-Pitaevskii Equation
• Thomas-Fermi Approximation for a Condensate with Higher-order Interactions
• Low-energy potential scattering in two and three dimensions
• Ground State Pressure and Energy Density of a Homogeneous Bose Gas in Two Dimensions
• Correlation Effects in Ultracold Two-Dimensional Bose Gases
• Effective-range signatures in quasi-1D matter waves: sound velocity and solitons

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• 2D dilute Bose mixture at low temperatures
• Superfluids, Fluctuations and Disorder
• Finite-Range Corrections to the Thermodynamics of the One-Dimensional Bose Gas
• On-shell approximation for the s-wave scattering theory
• Zero-temperature equation of state of a two-dimensional bosonic quantum fluid with finite-range interaction
• Nonuniversal beyond mean field properties of quasi-two-dimensional dipolar Bose gases
• Trapped Bose-Bose mixtures at finite temperature: a quantum Monte Carlo approach
• Effective-range corrections to the ground-state energy of the weakly-interacting Bose gas in two dimensions
• Renormalization of the superfluid density in the two-dimensional BCS-BEC crossover
• Ground-state properties of a dilute two-dimensional Bose gas
• Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
• Nonuniversal Equation of State of a Quasi-2D Bose Gas in Dimensional Crossover
• Interaction-Induced Dimensional Crossover through Full 3D to 1D
• Cornwall-Jackiw-Tomboulis effective field theory to nonuniversal equation of state of an ultracold Bose gas
• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor
• Bose-Bose gases with nonuniversal corrections to the interactions: a droplet phase
• Ab-initio Quantum Monte Carlo study of ultracold atomic mixtures