Non-Gaussian pure states and positive Wigner functions

Corney, J. F. and Olsen, M. K. (2015) Non-Gaussian pure states and positive Wigner functions. Physical Review A (Atomic, Molecular and Optical Physics), 91 2: 023824.1-023824.6. doi:10.1103/PhysRevA.91.023824

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Author Corney, J. F.
Olsen, M. K.
Title Non-Gaussian pure states and positive Wigner functions
Journal name Physical Review A (Atomic, Molecular and Optical Physics)   Check publisher's open access policy
ISSN 1094-1622
Publication date 2015-02-19
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevA.91.023824
Open Access Status DOI
Volume 91
Issue 2
Start page 023824.1
End page 023824.6
Total pages 6
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2016
Language eng
Formatted abstract
Non-Gaussian correlations in a pure state are inextricably linked with certain nonclassical features, such as a non-positive-definite Wigner function. In a commonly used simulation technique in ultracold atoms and quantum optics, known as the truncated Wigner method, the quantum dynamics is mapped to stochastic trajectories in phase space, governed by a positive approximation to the true Wigner distribution. The question thus arises: How accurate is this approach in predicting truly nonclassical behavior? In this article, we benchmark the ability of the truncated Wigner phase-space method to reproduce the non-Gaussian statistics of the single-mode anharmonic oscillator. We find that the this method can reliably predict departures from Gaussian statistics over a wide range of particle numbers, whereas the positive-P representation, which involves no approximations, is limited by rapidly growing statistical uncertainty. The truncated Wigner function, furthermore, is able to reproduce the non-Gaussian correlations while satisfying the condition for purity.
Keyword Gaussian noise
Phase space methods
Quantum optics
Wigner-ville distribution
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
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Citation counts: TR Web of Science Citation Count  Cited 4 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 4 times in Scopus Article | Citations
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