Embraer Captain reported while climbing experiencing multiple electrical system CAS messages and cabin pressure issue resulting in the Captain returning the flight to the departure airport where they landed safely.

Narrative

After a short level off at 13000; we initiated a climb and at around 13500 and the MFD (Multi-function Flight Display) and right PFD (Primary Flight Display) went black; an ELEC EMERGENCY CAS was displayed and the cabin altitude began to climb rapidly. In this condition; there is no intercom or radio available to the right seat so all communications were made aloud. The FO (First Officer) was flying and leveled the aircraft off at 14000. We ran the ELEC EMERGENCY QRC and the cabin altitude continued to climb so I donned my mask. As I was donning my mask the passenger came up the cockpit to as if there was a problem and I issued a command to return to their seat and put their seatbelt on. Once my mask was on; a short transfer of controls took place to allow the FO to don his mask and then continue flying because the Autopilot was not available. Priority handling was requested with a return to ZZZ as it was the closest airport with services. A turn direct to the airport and a descent was issued. Because communications were very difficult with masks on; we leveled at 8000 removed our masks and began to run the ELEC EMERGENCY QRH. Both generators were able to be restarted and clear the ELEC EMERGENCY CAS. We were now able to communicate via the intercom. There were two remaining amber CAS messages: PTRM NRM FAIL and SWPS FAULT. Both QRHs were accomplished and backup trim was used. The performance additions were calculated for the SWPS FAULT and a landing performance assessment was completed. Vectors were given for visual approach to Runway XXL where we had a normal landing a taxied to the FBO.