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British pair Katie Boulter and Sonay Kartal have lost the second set of their women's doubles first-round match.

It had remained on serve until the 12th game, when Kartal was broken.

This second set went with serve until game four, when Carlos Alcaraz broke with his fourth break point to take control.

The Spaniard won a remarkable point when he anticipated Luciano Darderi's smash at the net to return into an empty court.

Alcaraz then holds, though Darderi did manage to take him to deuce and earn himself a break point. That's positive for the Italian, given how good Alcaraz has been today.

Russell Fuller
Tennis correspondent on BBC Radio 5 Sports Extra and BBC Sounds

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With the exception of Wimbledon, which has thrown up some surprise winners in the past few years, the Grand Slams tend to be won by those elite players.

Raducanu's season has been very encouraging, but this is a reminder that against the very best players she comes up short. It is something she is going to have to work out over the next year or so.

Elena Rybakina, speaking on court after a third-round win over Emma Raducanu:

"I'm really happy with the performance. It's not easy to play against Emma, she is a tough competitor. I'm pretty happy with the way I played today and looking forward to the next match.

"Through the years, for some reason the US Open wasn't that successful for me. Hopefully this year it will change. I'm really happy to get through and hopefully I can go as far as possible."

Annabel Croft
Former British number one on BBC Radio 5 Sports Extra and BBC Sounds

If Rybakina can come out and produce this kind of performance, she will be very difficult to unseat. She is having a better time of it recently, she is happy that her coach is back.

He was right to keep at her in the early part of that second set because she can go a bit astray sometimes.

She is so relaxed and difficult to read - It is a deadly combination when you don't show that you are nervous and play with so much freedom.

Based on this evidence, Rybakina will be a very serious contender for the title in New York.

She thrashed world number one Aryna Sabalenka in Cincinnati - a build-up tournament to the American major - and that tells us quite a lot about where her game is at right now.

It was Wimbledon champion Iga Swiatek who knocked Rybakina out in the semi-finals then.

The ninth seed will face another tough match next against former Wimbledon champion Marketa Vondrousova or Italian seventh seed Jasmine Paolini.

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Annabel Croft
Former British number one on BBC Radio 5 Sports Extra and BBC Sounds

It was clinical from Rybakina. The way she came out of the blocks, and she was unfazed and untroubled and took control from the go.

She didn't allow Raducanu to play the way we know she can. This matchup didn't suit Raducanu, anything she put out there was more than matched and came back with interest.

It was a sensational performance.

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Luciano Darderi nets again and Carlos Alcaraz breaks to love to take the first set in just 27 minutes.

The Italian made 10 unforced errors in that first set and they ended up costing him dear.

A double fault hands Raducanu a gifted point but that is the only blemish on Rybakina's record in this game so far.

Two match points.

Darderi hits a forehand too long and gives Alcaraz three set points.

Just less than an hour on the clock and Rybakina is serving for the match and a place in round four of the US Open, where she would play for the first time in her career.

Raducanu swipes her racquet in frustration as she concedes the break.

Just too good from Rybakina as she places her forehand out of the Brit's reach.

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Solid play from Luciano Darderi as he repeatedly slugs the ball during a 21-shot rally before Carlos Alcaraz nets.

Darderi then hits a forehand winner to hold to love.

Alcaraz responds with his own hold to love, including a breathe-taking forehand winner into the far corner that drew gasps from the crowd.

Annabel Croft
Former British number one on BBC Radio 5 Sports Extra and BBC Sounds

I once had the privilege of training with Steffi Graf and she did all of her training with blokes - everything was coming at her so fast, hard and flat.

I don't know how much Raducanu trains with men, but when you see her not coping with the pace of a shot, it makes me think that all of her training has to be done with power players.

A rapid return from Rybakina takes us back to deuce and then sends Raducanu on the move across the baseline to earn a third break point in this game.

Raducanu saves both break points then works her way to game point and receives a big cheer of encouragement from the crowd.

They don't want this to be over just yet. The importance of those two break points can not be overstated. But Raducanu has to hold here.

Rybakina brings up two break points on the Raducanu serve.

This could be over pretty soon if the Brit isn't careful.

Rybakina is hitting her first serve at just 46%.

That's pretty surprising given how dominant she has been here and Raducanu has not been able to take advantage of the second serves.

Luciano Darderi holds serve to get himself on the board - he produced a brutal forehand winner that had Carlos Alcaraz scrambling across the baseline in desperation.

Alcaraz holds to love after a thrilling rally that saw Darderi just about reach a drop shot and return a lob before his opponent smashed home a forehand winner.