"It's awesome for me", said Thiem.
"I am in the quarter-finals, and I am healthy and I am playing well".
"I don't know how many games I lost this year, but I really don't care about this".
Djokovic had won all five previous matches - and 11 of 12 sets - against Thiem, including in the French Open semifinals a year ago.
'It's incredible how hard it is to go deep in a Grand Slam and it's not going to get any easier for me on Friday'.
"It was just not there for me today".
Top-ranked Andy Murray is through to the French Open semifinals after beating eighth-seeded Kei Nishikori 2-6, 6-1, 7-6 (0), 6-1. At 30-30 while the Swiss attempts to serve out the match, Mladenovic threw in a wonderful drop shot victor to earn a break point, the golden opportunity to return level. He has yet to drop a set in this years tournament. "And my only goal is try to be ready to play my best, no?" Pliskova beat Caroline Garcia 7-6 (3), 6-4.
"It doesn't get any easier", Thiem, beaten by Djokovic in last year's semi-final, said on court when asked to comment on the prospect of facing favourite Rafa Nadal in the semis.
On a sunny Court Philippe Chatrier, she lobbed Garcia from the back of the court to give herself two match points.
Thiem was showing all his considerable skills, flashing backhand winners down the line and punishing Djokovic with his heavy forehand.
In a rematch of the Rome final, Simona Halep will face Elina Svitolina.
Suspected bomb kills seven outside mosque in Afghanistan's Herat
The United States officially withdrew from Afghanistan in 2014, but it maintains a presence of about 8,400 troops there. Zabihullah Mujahid, a spokesman for the Taliban, say that the group was not involved in the attack.
Djokovic had beaten Thiem in the last four in Paris past year and won all five previous meetings between the pair with Thiem having won just one set, their last meeting a 6-1 6-0 victory for Djokovic in Rome a few weeks ago.
He wasted two set points in the opener. Thiem erased the first with a forehand volley and the other with a service victor that prompted Djokovic to roll his eyes. World No. 47 Ostapenko advanced to her first career Grand Slam quarterfinal with a win over 2010 French Open finalist Stosur.
"Thiem is a tough player".
For Thiem, he continues to mount a threat to the world's very best and having beaten Nadal in the quarter-finals in Rome, his rampant display against Djokovic will give him hope of reaching a first Grand Slam final.
Thiem will next face Rafael Nadal in the semifinals.
While Djokovic is the reigning men's singles champion in Paris, many will feel sixth seed Thiem has a strong chance given his excellent form on clay this year. The Austrian outplayed Djokovic throughout the second set and raced into a two sets to love lead. Thiem took over after that, winning the third set in only 20 minutes.
Double French Open champion Jim Courier, commentating on the match, said the Serb had shown "no fight".
Djokovic and Thiem each recorded straight-sets victories at Roland Garros on Sunday, against Albert Ramos-Vinolas and Horacio Zeballos respectively, to set up a mouthwatering last-eight tie. And Thiem then took the second set 6-3.
The loss marks Djokovic's fourth consecutive Grand Slam without a victory, an uncharacteristic drought for the 12-time major champion.
The Spaniard qualified for the semi-finals at Roland Garros for the 10th time on Wednesday after compatriot Pablo Carreno Busta retired with an abdominal injury while trailing 6-2, 2-0.
Rafael Nadal and Novak Djokovic might be cold during their French Open quarterfinals.
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