Entity reference field on select show some data about entity
There is an option to use views for populating the dropdown in the entity reference fields. Since you are building the options using views, you can pretty much customize it as you want. 

Check out this video http://codekarate.com/daily-dose-of-drupal/using-views-entity-reference-module-drupal-7 for more details.

----------------THIS PART ADD BY QUESTIONER-----------------

Thanks to Gokul N K.

This tutorial made what i want in the view mode. What to do in the edit mode?


Create a custom module
Hook form_alter
Add a HTML div just below the autocomplete field
Inject some JavaScript and bind the auctomcompleteSelect trigger on your specified field.
In the bind function add an ajax callback to acquire your desired information and display it inside the div.