# Topological phase transitions in tilted optical lattices

## TL;DR

This paper investigates how applying a tilt to a brick-wall optical lattice causes topological phase transitions, which can be experimentally observed through Bloch oscillations of cold atoms.

## Contribution

It introduces a method to detect topological phase transitions in tilted optical lattices via observable Bloch oscillations.

## Key findings

- Topological phase transitions occur with lattice tilt.
- Eigenstates change abruptly at transition points.
- Bloch oscillations serve as experimental signatures.

## Abstract

We analyze the energy spectrum and eigenstates of cold atoms in a tilted brick-wall optical lattice. When the tilt is applied, the system exhibits a sequence of topological phase transitions reflected in an abrupt change of the eigenstates. It is demonstrated that these topological phase transitions can be easily detected in a laboratory experiment by observing Bloch oscillations of cold atoms.