# Ground-state properties of dilute Bose systems with synthetic dispersion laws

## TL;DR

This paper demonstrates that dilute Bose gases with synthetic spin-orbit dispersion laws exhibit universal ground-state properties, with the chemical potential depending quadratically on density, akin to a one-dimensional Fermi gas.

## Contribution

It reveals the universal behavior of dilute Bose systems with synthetic dispersion laws across arbitrary dimensions, extending known one-dimensional results.

## Key findings

- Chemical potential depends quadratically on density.
- Universal ground-state properties across dimensions.
- Dispersion laws with degenerate minima lead to Fermi-like behavior.

## Abstract

Experimental advances in synthesizing spin-orbit couplings in cold atomic Bose gases promise to create single-particle dispersion laws featuring energy minima that are degenerate on a ring or a sphere in momentum space. We show that for arbitrary space dimensionality the ground-state properties of a dilute system of spin-orbit coupled Bose particles with such dispersion and short-range repulsive interactions are universal: the chemical potential exhibits a quadratic dependence on the particle density as found in a one-dimensional free Fermi gas.