Your Barrett's Oesophagus has been caused by prolonged acid reflux. It defines cellular changes made to the epithelium (lining) of the oesophagus. The chances of this developing to cancer are slight - between 0.5% and 1% per year.
You will probably have been prescribed a Proton Pump Inhibitor (eg Omeprazole) to reduce your stomach acid. Diet and lifestyle changes will also help reduce acid refluxing. However, there is no cure as such.
You will need to undergo regular surveillance endoscopy every couple of years to check it isn't developing into something worse. If it is going to progress it will go through various stages of "dysplasia" before reaching the cancer stage.
If dysplasia is seen, you may have the Barrett's cells removed in various ways. Perhaps te best is HALO radio frequency ablation which you will find detailed on this website: www.curebarretts.com
To find out more about Barrett's visit www.barrettscampaign.org.uk or ask questions on their on-line forum.
All the best.