# Spin-tensor--momentum-coupled Bose-Einstein condensates

## TL;DR

This paper proposes a new scheme to realize spin-tensor--momentum coupling in spin-1 Bose-Einstein condensates, revealing novel phases and states that could advance quantum physics research and applications.

## Contribution

It introduces a novel method to generate spin-tensor--momentum coupling in spin-1 ultracold gases, enabling exploration of new quantum phases and dynamical states.

## Key findings

- Discovery of stripe superfluid phases with tunable periods
- Identification of multicritical points in phase transitions
- Potential for observing dynamical supersolid-like states

## Abstract

The recent experimental realization of spin-orbit coupling for ultracold atomic gases provides a powerful platform for exploring many interesting quantum phenomena. In these studies, spin represents spin vector (spin-1/2 or spin-1) and orbit represents linear momentum. Here we propose a scheme to realize a new type of spin-tensor--momentum coupling (STMC) in spin-1 ultracold atomic gases. We study the ground state properties of interacting Bose-Einstein condensates (BECs) with STMC and find interesting new types of stripe superfluid phases and multicritical points for phase transitions. Furthermore, STMC makes it possible to study quantum states with dynamical stripe orders that display density modulation with a long tunable period and high visibility, paving the way for direct experimental observation of a new dynamical supersolid-like state.. Our scheme for generating STMC can be generalized to other systems and may open the door for exploring novel quantum physics and device applications.