---
abstract: |
    The popular method of Nosé and Hoover to create canonically distributed positions and momenta in classical molecular dynamics simulations is generalized to a genuine quantum system of infinite dimensionality. We show that for the quantum harmonic oscillator, the equations of motion in terms of coherent states can easily be modified in an analogous manner to mimic the coupling of the system to a thermal bath and create a quantum canonical ensemble. Possible applications to more complex systems, especially interacting Fermion systems, are proposed.

    [*PACS:*]{} 05.30.-d; 05.30.Ch; 02.70.Ns

    [*Keywords:*]{} Quantum statistics; Canonical ensemble; Ergodic behaviour; Thermostat; mixed quantum-classical system
address: |
    Universität Osnabrück, Fachbereich Physik\
    Barbarastr. 7, D-49069 Osnabrück
author:
- 'D. Mentrup'
- ', J. Schnack'
title: 'Nosé-Hoover dynamics for coherent states'
---

[**Acknowledgments**]{}\
The authors would like to thank the Deutsche Forschungsgemeinschaft (DFG) for financial support of the project “Isothermal dynamics of small quantum systems". We are thankful to K. Bärwinkel for carefully reading the manuscript.
