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

Journal of Computational Electronics

Decoherence effects in the Wigner function formalism

Philipp Schwaha, Damien Querlioz, Philippe Dollfus, Jérôme Saint-Martin, Mihail Nedjalkov, S. Selberherr

Published Jun 11, 2013• 12 citations
Publisher
DOI
10.1007/s10825-013-0480-9

Related papers

Diffusive behaviour of the Wigner function and decoherence

Zbigniew Haba

Springer eBooks•Jan 1, 1999•0 citations

Wigner formalism for a particle on an infinite lattice: dynamics and spin

Hinarejos, M., Bañuls, M., Perez, A.

The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Bañuls M C and Pérez A 2012 New J. Phys. 14 103009) is extended here to include an internal degree of freedom as spin. This extension is made by introducing a Wigner matrix. The formalism is developed to account for dynamical processes, with or without decoherence. We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited. Discrete processes are also discussed. Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included.

•Jan 20, 2015•2 citations

Wigner formalism for a particle on an infinite lattice: dynamics and spin

M Hinarejos, Mari Carmen Bañuls, A Pérez

The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Bañuls M C and Pérez A 2012 New J. Phys.14 103009) is extended here to include an internal degree of freedom as spin.This extension is made by introducing a Wigner matrix.The formalism is developed to account for dynamical processes, with or without decoherence.We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited.Discrete processes are also discussed.Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included.

arXiv:1405.2944•New Journal of Physics•Jan 20, 2015•3 citations

Wigner functions and quantum interference in optics

I. Földesi, József Janszky, Петер Адам +3 more

Acta Physica Hungarica A) Heavy Ion Physics•Aug 1, 1996•0 citations

Wigner Function -A Formalism

Ijaz Durrani

•Jan 1, 2026•0 citations

QUANTUM TUNNELING PROPERTIES FROM A WIGNER FUNCTION STUDY

N.C. Kluksdahl, Alfred M. Kriman, Christian A. Ringhofer +1 more

Elsevier eBooks•Jan 1, 1988•4 citations
The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Bañuls M C and Pérez A 2012 New J. Phys. 14 103009) is extended here to include an internal degree of freedom as spin. This extension is made by introducing a Wigner matrix. The formalism is developed to account for dynamical processes, with or without decoherence. We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited. Discrete processes are also discussed. Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included.
The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Bañuls M C and Pérez A 2012 New J. Phys.14 103009) is extended here to include an internal degree of freedom as spin.This extension is made by introducing a Wigner matrix.The formalism is developed to account for dynamical processes, with or without decoherence.We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited.Discrete processes are also discussed.Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included.