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Wigner Functions for Arbitrary Quantum Systems

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journal contribution
posted on 2016-10-13, 11:12 authored by Todd Tilma, Mark EverittMark Everitt, John Samson, W.J. Munro, Kae Nemoto
The possibility of constructing a complete, continuous Wigner function for any quantum system has been a subject of investigation for over 50 years. A key system that has served to illustrate the difficulties of this problem has been an ensemble of spins. While numerous attempts have come close to generating a complete Wigner phase-space description for such a system, each has either been artificial in its construction or restricted in its applications. Here we present a general method of constructing Wigner functions that can be used to fully describe quantum spin systems of any dimension or ensemble size.

Funding

MEXT Grant-in-Aid for Scientific Research on Innovative Areas "Science of hybrid quantum systems" Grant Number 15H05870 and JSPS KAKENHI Grant No. 25220601.

History

School

  • Science

Department

  • Physics

Published in

Physical Review Letters

Volume

117

Issue

18

Citation

TILMA, T. ... et al, 2016. Wigner functions for arbitrary quantum systems. Physical Review Letters, 117 (18), 180401.

Publisher

© American Physical Society

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

2016-08-25

Publication date

2016-10-24

Notes

This paper was accepted for publication in the journal Physical Review Letters and is available at https://doi.org/10.1103/PhysRevLett.117.180401.

ISSN

0031-9007

eISSN

1079-7114

Language

  • en

Article number

180401

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