Van Vliet was a teaching assistant (1949–1953) at the
Vrije Universiteit in
Amsterdam, and then a
NV Philips Research Fellow (1953–1956) at the same university. This was followed by an appointment as a
Fulbright Fellow in the electrical engineering department at the
University of Minnesota (1956–1957), where she rose to assistant professor. During 1958-1960, Van Vliet was appointed as 'Conservator' in the department of physics at the
Vrije Universiteit and then was appointed at the
University of Minnesota (1957–1970) rising to professor. In that time, she was an assistant professor (1957–58) and associate professor (1960–65) in the department of electrical engineering and a full professor (1965–70) in the department of physics. In 1969-1995, Van Vliet was professor of theoretical physics at the Centre de Recherches Mathématiques of the
Université de Montréal. Then, during 1992-2000, she was a professor at
Florida International University in
Miami. Her last position was as adjunct professor of physics at the
University of Miami. In her career, she actively visited other physics departments over the years which include the University of Utrecht in the Netherlands (1968, 1977) and the University of Florida in Gainesville, FL (1974, 1977, 1978–84). She was a stellar researcher and teacher who specialized in the areas of non-equilibrium statistical mechanics, fluctuations and stochastic processes, quantum transport in condensed matter and electron behavior in nanoscale quantum devices during her career. These topics are relevant today in exploring the development of quantum computing and its applications. She published over 200 scientific publications and several books included a graduate textbook, "Equilibrium and Non-Equilibrium Statistical Mechanics". She also supervised and graduated over 28 PhD students from 1958 to 2000. ==Publications by Van Vliet==