Molecular dynamics investigations on a quantum system in a thermostat

The model quantum system of fermions in a one-dimensional harmonic oscillator potential is investigated by a molecular dynamics method at constant temperature. Although in quantum mechanics the equipartition theorem cannot be used like in the Nosé–Hoover-thermostat, it is possible to couple an additional degree of freedom to the system which acts as a thermometer and drives the system towards the desired temperature via complex time steps.