# Beyond-mean-field corrections for dipolar bosons in an optical lattice

## TL;DR

This paper investigates how optical lattices influence beyond-mean-field corrections in dipolar bosons, revealing anisotropic effects and orientation-dependent modifications crucial for understanding ultracold dipolar gases.

## Contribution

It provides a detailed analysis of how optical lattices alter beyond-mean-field corrections, including anisotropic effective mass and orientation-dependent effects.

## Key findings

- Deep in the superfluid regime, the equation of state is described by an anisotropic effective mass.
- Deep lattices introduce anomalous density dependence terms not present in free space.
- The orientation of dipoles relative to the lattice significantly affects the corrections.

## Abstract

Recent experiments with ultracold lanthanide atoms which are characterized by a large magnetic moment have revealed the crucial importance of beyond-mean-field corrections in understanding the dynamics of the gas. We study how the presence of an external optical lattice modifies the structure of the corrections. We find that deep in the superfluid regime the equation of state is well described by introducing an anisotropic effective mass. However, for a deep lattice we find terms with anomalous density dependence which do not arise in free space. For a one-dimensional lattice, the relative orientation of the dipole axis with respect to the lattice plays a crucial role and the beyond-mean-field corrections can be either enhanced or suppressed.