Taylor Swift Steps Out in Los Angeles Post-Split

01/09/2013 at 09:45 AM EST

Taylor Swift Steps Out in Los Angeles Post-Split
Taylor Swift on Jan. 8
She's marching on!

Following the end of a whirlwind romance with One Direction heartthrob Harry Styles that took her from New York City to northern England, the ski slopes of Utah and the British Virgin Isles, Taylor Swift stepped out alone in Los Angeles on Tuesday.

The Grammy-winning singer, 23 – who just split with Styles, 18, and left the Caribbean solo – was photographed outside a friend's home in the Brentwood area of L.A.

The couple first showed off their affection during taping of The X Factor in November and even shared a kiss at midnight on New Year's Eve.

Despite appearances, a Swift source told PEOPLE of the romance, "No one is taking it seriously."

Maybe that's why she's still smiling.

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