Burkart became interested in track and field upon seeing the 1968 Mexico Olympics on television when he was a child. A recreational drug user in his youth, he travelled widely in his early twenties and converted to Scientology after visiting one of their academies in Sacramento, California. Following his conversion he returned to Switzerland and renewed his focus on sprinting. He made his first international appearance for his country at an indoor international match against Sweden in 1981.
Sprint career
He claimed his first Swiss national title in 1982, sharing the 100 m title with the more established Franco Fähndrich in a time of 10.47 seconds. This led to his selection for the 1982 European Athletics Championships, where he was a 100 m semi-finalist. He ran a personal best of 10.42 in the 1983 season. He took his first win at the Swiss Indoor Championships in 1985, taking the national title in the 60 metres – he went on to win eight consecutive Swiss titles from 1985 to 1991. He made his global debut at the 1985IAAF World Indoor Games and was a semi-finalist after having set a personal best of 6.66 seconds in the first round. He competed in the event at the 1985 European Athletics Indoor Championships a few months later but did not progress beyond his first race. The highlights of his 1986 season were a 60 m lifetime best and Swiss record of 6.61 seconds and a semi-final placing in the event at the 1986 European Athletics Indoor Championships. That year he married Helen Barnett, a fellow sprinter and British Olympian. Burkart missed the opportunity to run at the 1988 Seoul Olympics due to an injury, but rebounded with a personal best of 10.39 seconds in 1989. That same year he won the 100 m "B" final section at the 1989 European Cup. He represented Switzerland at the 1990 European Athletics Indoor Championships and the 1990 European Athletics Championships and knocked a further hundredth off his 100 m best that year. He failed to make it out of the 60 m heats at the 1992 European Athletics Indoor Championships but had the best outdoor season of his career, setting a 100 m best and Swiss national record of 10.32 seconds as well as a 200 metres best of 20.76 seconds. This earned him his Olympic debut at the age of 34 and he was a quarter-finalist in both the sprints. He qualified for the 1993 World Championships in Athletics the following year, but did not start due to injury. Burkart reached the quarter-finals of the 100 m at the 1994 European Athletics Championships and matched that feat at the 1995 World Championships in Athletics. He also won the "C" final section at the 1994 European Cup. In 1996 he claimed his tenth Swiss title in the 60 m and his ninth title in the 100 m. He also qualified for his second Olympics at the 1996 Atlanta Games. He failed to make it past the first round but he became the oldest male athlete ever to compete in the 100 metres at the Olympics. After that season he largely retired from athletics, but made further appearances at the Swiss Indoor Championships, competing in 1999 and finally in 2002. He also won the 100 m in the over-40s division at the 2002 European Veterans Athletics Championships.