Wigner function evolution of quantum states in the presence of self-Kerr interaction

Stobinska, Magdalena, Milburn, G. J. and Wodkiewicz, Krzysztof (2008) Wigner function evolution of quantum states in the presence of self-Kerr interaction. Physical Review A (Atomic, Molecular and Optical Physics), 78 1: 013810-1-013810-9. doi:10.1103/PhysRevA.78.013810

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Author Stobinska, Magdalena
Milburn, G. J.
Wodkiewicz, Krzysztof
Title Wigner function evolution of quantum states in the presence of self-Kerr interaction
Journal name Physical Review A (Atomic, Molecular and Optical Physics)   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2008-07-09
Sub-type Article (original research)
DOI 10.1103/PhysRevA.78.013810
Open Access Status File (Publisher version)
Volume 78
Issue 1
Start page 013810-1
End page 013810-9
Total pages 9
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2009
Language eng
Abstract A Fokker-Planck equation for the Wigner function evolution in a noisy Kerr medium (chi(3) nonlinearity) is presented. We numerically solved this equation taking a coherent state as an initial condition. The dissipation effects are discussed. We provide examples of quantum interference, sub-Planck phase space structures, and Gaussian vs non-Gaussian dynamical evolution of the state. The results also apply to the description of a nanomechanical resonator with an intrinsic Duffing nonlinearity.
Keyword Fokker-Planck equation
Quantum theory
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
Centre for Quantum Computer Technology Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 28 times in Thomson Reuters Web of Science Article | Citations
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Created: Fri, 20 Mar 2009, 15:18:12 EST by Ruth Forrest on behalf of ARC Ctr of Excell for Quantum Computer Technology