The Potters more than matched Chelsea during the first half and it looked like they would reach half-time all square until Jonathan Walters powered a header into his own net in injury time. It was the striker's 100th Premier League appearance but it was emphatically not his day.
In the 62nd minute he repeated the trick with another header past Asmir Begovic and Chelsea made it three goals in 11 minutes through a penalty from Frank Lampard - who is now within eight goals of Bobby Tambling's club record - and a long-range strike from Eden Hazard.
To cap off Walters' nightmare day he missed a penalty in injury time after being felled by John Terry, who made his first appearance since suffering a knee injury two months ago as a 79th-minute substitute.
The result marked the end of Stoke's long unbeaten Premier League run at home, which stretched back to February, while Pulis was also unhappy with referee Andre Marriner's decision to award a penalty to Chelsea after Robert Huth was deemed to have fouled Juan Mata.
It was the Potters' worst home defeat since their promotion to the Premier League in 2008 and Pulis said: "We're disappointed. Obviously the second goal kills us.
"The goals we conceded were poor. I'm really disappointed with the penalty as well. I know Robert's got his hand on his shoulder but Mata's legs just collapse and I think it's soft.
"I don't think that was a 4-0. It's very hard to take because I don't think the lads deserve to be on the back of a 4-0 defeat for that performance."
Pulis, meanwhile, insisted Walters would recover from his horror show, saying: "Jon's fine. We look after people at the football club. It wasn't our day, it was Chelsea's day."
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