Entanglement and bifurcations in Jahn-Teller models

Hines, A. P., Dawson, C. M., McKenzie, R. H. and Milburn, G. J. (2004) Entanglement and bifurcations in Jahn-Teller models. Physical Review A, 70 2: 022303. doi:10.1103/PhysRevA.70.022303

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Author Hines, A. P.
Dawson, C. M.
McKenzie, R. H.
Milburn, G. J.
Title Entanglement and bifurcations in Jahn-Teller models
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2004
Sub-type Article (original research)
DOI 10.1103/PhysRevA.70.022303
Open Access Status File (Publisher version)
Volume 70
Issue 2
Start page 022303
Total pages 12
Editor B. Crasemann
Place of publication United States
Publisher The American Physical Society
Collection year 2004
Language eng
Subject C1
240402 Quantum Optics and Lasers
780102 Physical sciences
Abstract We compare and contrast the entanglement in the ground state of two Jahn-Teller models. The Exbeta system models the coupling of a two-level electronic system, or qubit, to a single-oscillator mode, while the Exepsilon models the qubit coupled to two independent, degenerate oscillator modes. In the absence of a transverse magnetic field applied to the qubit, both systems exhibit a degenerate ground state. Whereas there always exists a completely separable ground state in the Exbeta system, the ground states of the Exepsilon model always exhibit entanglement. For the Exbeta case we aim to clarify results from previous work, alluding to a link between the ground-state entanglement characteristics and a bifurcation of a fixed point in the classical analog. In the Exepsilon case we make use of an ansatz for the ground state. We compare this ansatz to exact numerical calculations and use it to investigate how the entanglement is shared between the three system degrees of freedom.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Systems
Phase
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 04:19:07 EST