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Efficient computations of quantum canonical Gibbs state in phase space

Author(s): Bondar, Denys I.; Campos, Andre G.; Cabrera, Renan; Rabitz, Herschel A.

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Abstract: 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.
Publication Date: 13-Jun-2016
Citation: Bondar, Denys .I, Campos, Andre G., Cabrera, Renan, Rabitz, Herschel A. (2016). Efficient computations of quantum canonical Gibbs state in phase space. PHYSICAL REVIEW E, 93 (10.1103/PhysRevE.93.063304
DOI: doi:10.1103/PhysRevE.93.063304
ISSN: 2470-0045
EISSN: 2470-0053
Pages: 063304-1 - 063304-5
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW E
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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