skip to main content

Title: Quantum-field-theoretical approach to phase–space techniques: Symmetric Wick theorem and multitime Wigner representation

In this work we present the formal background used to develop the methods used in earlier works to extend the truncated Wigner representation of quantum and atom optics in order to address multi-time problems. Analogs of Wick’s theorem for the Weyl ordering are verified. Using the Bose–Hubbard chain as an example, we show how these may be applied to constructing a mapping of the system in question to phase space. Regularisation issues and the reordering problem for the Heisenberg operators are addressed.
Authors:
 [1] ;  [2]
  1. Institut für Quantenphysik, Universität Ulm, 89069 Ulm (Germany)
  2. ARC Centre of Excellence for Quantum–Atom Optics, School of Physical Sciences, University of Queensland, Brisbane, Qld 4072 (Australia)
Publication Date:
OSTI Identifier:
22403487
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 351; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; PHASE SPACE; QUANTUM FIELD THEORY; QUANTUM OPTICS; SYMMETRY; WICK THEOREM