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.

5 pages, to be published in Phys. Rev. Lett

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• Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
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• 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