Anat was born in Tel Aviv, Israel, and raised into a musical family. She attended the Tel Aviv School for the Arts, the "Thelma Yellin" High School for the Arts and the Jaffa Music Conservatory. Jazz captured the youngster's imagination, and she thrilled to recordings by Louis Armstrong and Sidney Bechet, Benny Goodman and Dexter Gordon, John Coltrane and Sonny Rollins. Anat began clarinet studies at age 12 and played jazz on clarinet for the first time in the Jaffa Conservatory's Dixieland band. At 16, she joined the school's big band and learned to play the tenor saxophone; it was this same year that Anat entered the prestigious "Thelma Yellin" High School for the Arts, where she majored in jazz.
Organized in 1962, the Jim Cullum Jazz Band is renowned worldwide for playing the classic jazz associated with King Oliver, Louis Armstrong, Jelly Roll Morton and Bix Beiderbecke --among others--plus music by great American composers such as Duke Ellington, Hoagy Carmichael, George Gershwin and Irving Berlin. The band has performed at Carnegie Hall, the Kennedy Center, Wolf Trap Farm, Austin City Limits, and at festivals and concerts across the U.S. and Latin America. The JCJB has also performed in Australia, Europe and on a wildly successful tour of Russia! From 1963 until 2011 the band performed at The Landing, on San Antonio's Riverwalk.