Efficient computations of quantum canonical Gibbs state in phase space

Denys I. Bondar, Andre G. Campos, Renan Cabrera, Herschel A. Rabitz

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The Gibbs canonical state, as a maximum entropy density matrix, represents a quantum system in equilibrium with a thermostat. This state plays an essential role in thermodynamics and serves as the initial condition for nonequilibrium dynamical simulations. We solve a long standing problem for computing the Gibbs state Wigner function with nearly machine accuracy by solving the Bloch equation directly in the phase space. Furthermore, the algorithms are provided yielding high quality Wigner distributions for pure stationary states as well as for Thomas-Fermi and Bose-Einstein distributions. The developed numerical methods furnish a long-sought efficient computation framework for nonequilibrium quantum simulations directly in the Wigner representation.

Original languageEnglish (US)
Article number063304
JournalPhysical Review E
Issue number6
StatePublished - Jun 13 2016

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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