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arXiv · 1703.01614

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

L. Salasnich
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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.

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L. Salasnich. 2017-03-10. Non-Universal Equation of State of the Two-Dimensional Bose Gas. https://doi.org/10.1103/physrevlett.118.130402

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