# Lattice induced stripe phase in Bose-Einstein condensate under non-inertial and inertial motion

## TL;DR

This paper investigates how a combined optical lattice and harmonic potential induce a stripe phase in a Bose-Einstein condensate, highlighting the role of nonlinearities and motion frames in phase stability.

## Contribution

It demonstrates the conditions under which a stripe phase appears in a BEC with cubic and quintic nonlinearities influenced by lattice and motion.

## Key findings

- Stripe phase depends on interplay between quintic nonlinearity and lattice.
- Time-dependent harmonic oscillator frequency destroys stripe order.
- The solution remains linearly stable under studied conditions.

## Abstract

We consider a parametrically forced Bose-Einstein condensate in the combined presence of an optical lattice and harmonic oscillator potential in the mean field approach. A spatial symmetry broken Bose-condensed phase in non-inertial and inertial frame yields a stripe phase in the presence of both cubic and quintic nonlinearities. We show that existence of such stripe phase solely depends on the interplay between the quintic nonlinearity and lattice potential. Furthermore, we observe that a time-dependent harmonic oscillator frequency destroys such stripe ordering. A linear stability analysis of the obtained solution is performed and we found that the solution is stable. In order to gain a better understanding of the underlying physics, we compute the energy, showing nonlinear compression of the condensate in some parameter domain.