Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0102282 · Physica A Statistical Mechanics and its Applications

Nosé–Hoover dynamics for coherent states

D. Mentrup, J. Schnack

Published Aug 1, 2001• 11 citations
arXivHTMLPDF
DOI
10.1016/s0378-4371(01)00230-8

Related papers

Isothermal quantum dynamics: Nosé-Hoover method for coherent states

Detlef Mentrup, Jürgen Schnack

International Journal of Modern Physics B•Jan 1, 2003•0 citations

ISOTHERMAL QUANTUM DYNAMICS: NOSÉ-HOOVER DYNAMICS FOR COHERENT STATES

Detlef Mentrup, Jürgen Schnack

Recent Progress in Many-Body Theories•Dec 1, 2002•0 citations

Nosé-Hoover dynamics for coherent states

Mentrup, D., Schnack, J.

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.

•Jan 1, 2001•9 citations

Complex dynamics and coherent states

Zbigniew Haba

Springer eBooks•Jan 1, 1999•0 citations

Nosè–Hoover dynamics in quantum phase space

Alessandro Sergi, Francesco Petruccione

Thermal fluctuations in time-dependent quantum processes are treated by a constant-temperature generalization of Wigner's formulation of quantum mechanics in phase space. To this end, quantum Nosè–Hoover dynamics is defined by generalizing the Moyal bracket. Computational applications of the formalism, together with further theoretical developments, are discussed.

arXiv:0711.2207•Journal of Physics A Mathematical and Theoretical•Jul 28, 2008•10 citations

On the dynamics of generalized coherent states

Blagovest A. Nikolov, D. A. Trifonov

•Jan 1, 1981•0 citations
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.