# Universal Properties of Anisotropic Dipolar Bosons in Two Dimensions

### Submission summary

 Authors (as Contributors): G. E. Astrakharchik · Ferran Mazzanti · Luis Peña Ardila
Submission information
Date accepted: 2022-06-03
Date submitted: 2022-05-16 09:52
Submitted by: Mazzanti, Ferran
Submitted to: SciPost Physics
Ontological classification
Specialties:
• Quantum Physics
Approaches: Theoretical, Computational

### Abstract

The energy of ultra-dilute quantum many-body systems is known to exhibit a universal dependence on the gas parameter $x=n a_0^d$, with $n$ the density, $d$ the dimensionality of the space ($d=1,2,3$) and $a_0$ the $s$-wave scattering length. The universal regime typically extends up to $x\approx 0.001$, while at larger values specific details of the interaction start to be relevant and different model potentials lead to different results. Dipolar systems are peculiar in this regard since the anisotropy of the interaction makes $a_0$ depend on the polarization angle $\alpha$, so different combinations of $n$ and $\alpha$ can lead to the same value of the gas parameter $x$. In this work we analyze the scaling properties of dipolar bosons in two dimensions as a function of the density and polarization dependent scattering length up to very large values of the gas parameter $x$. Using Quantum Monte Carlo (QMC) methods we study the energy and the main structural and coherence properties of the ground state of a gas of dipolar bosons by varying the density and scattering length for fixed gas parameter. We find that the dipolar interaction shows relevant scaling laws up to unusually large values of $x$ that hold almost to the boundaries in the phase diagram where a transition to a stripe phase takes place.

Published as SciPost Phys. 13, 031 (2022)

Dear Editor,

Please find attached the last version of our manuscript

'Universal Properties of Anisotropic Dipolar Bosons in Two Dimensions'
by J.Sanchez-Baena, L.A. Peña Ardila, G.E. Astrakharchik and F. Mazzanti

We hope this new version is now suitable for publication.

Yours sincerely,

J.Sanchez-Baena, L.A. Peña Ardila, G.E. Astrakharchik and F. Mazzanti

### List of changes

Added a few sentences to the last paragraph of page 1, where we extend a bit the discussion on the Quantum Anomaly, providing new references including the one requested by the last referee.