# Zero-temperature equation of state of a two-dimensional bosonic quantum fluid with finite-range interaction

## TL;DR

This paper derives the zero-temperature equation of state for a two-dimensional bosonic quantum fluid with finite-range interactions, using a hydrodynamic approach and regularization techniques to handle divergences.

## Contribution

It introduces a method to calculate the equation of state for 2D bosonic systems with finite-range interactions, including regularization of divergences.

## Key findings

- Derived the 2D equation of state for finite-range interactions.
- Calculated superfluid equations of motion at zero temperature.
- Regularized ultraviolet divergences using an improved dimensional regularization.

## Abstract

We derive the two-dimensional equation of state for a bosonic system of ultracold atoms interacting with a finite-range effective interaction. Within a functional integration approach, we employ an hydrodynamic parametrization of the bosonic field to calculate the superfluid equations of motion and the zero-temperature pressure. The ultraviolet divergences, naturally arising from the finite-range interaction, are regularized with an improved dimensional regularization technique.