If you are hunting for when/who deleted an opportunity, you would have to have system level 'auditing' on, as well as auditing specifically turned on for the Opportunity entity.
You can then navigate to the Settings, Data Management, Auditing area. Review the audit logs for 'delete' messages and you should see them.
Keep in mind you can't actually recover the records as there is no 'recycle bin' per se, but you can see when and who deleted a record.