Superposition states at finite temperature

Guillaume Huyet, Sonja Franke-Arnold, and Stephen M. Barnett
Phys. Rev. A 63, 043812 – Published 15 March 2001
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Abstract

We describe a method to create superposition states from a mixed state of a harmonic oscillator. If the initial state is described by a thermal state, then the resulting superposition state will be a “hot” superposition state. Such a state can be distinguished from a statistical mixture by its coherence properties. Here we suggest how to demonstrate the coherence of the superposition state by observing interference fringes when the two parts of the wave packet are overlapped. In the case of the mixed superposition state, a partial overlap may not be sufficient to observe the presence of fringes. We introduce therefore the idea of a coherence length for the wave packet and demonstrate its relevance for interferometry of mixed states. We illustrate our ideas with the example of superposition states for the motion of a single trapped ion.

  • Received 16 May 2000

DOI:https://doi.org/10.1103/PhysRevA.63.043812

©2001 American Physical Society

Authors & Affiliations

Guillaume Huyet1,2, Sonja Franke-Arnold1, and Stephen M. Barnett1

  • 1Department of Physics and Applied Physics, University of Strathclyde, Glasgow G4 0NG, Scotland
  • 2Physics Department, National University of Ireland, Cork, Ireland

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Vol. 63, Iss. 4 — April 2001

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