Entanglement and bifurcations in Jahn-Teller models

Hines, Andrew P; Milburn, G J; Dawson, Christopher M; McKenzie, Ross H

doi:10.1103/PhysRevA.70.022303

Title: Entanglement and bifurcations in Jahn-Teller models

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Abstract

We compare and contrast the entanglement in the ground state of two Jahn-Teller models. The Ex{beta} system models the coupling of a two-level electronic system, or qubit, to a single-oscillator mode, while the Ex{epsilon} 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 Ex{beta} system, the ground states of the Ex{epsilon} model always exhibit entanglement. For the Ex{beta} 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 Ex{epsilon} 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.

Authors:

Hines, Andrew P; Milburn, G J ^[1]; Dawson, Christopher M; McKenzie, Ross H ^[2]

Centre for Quantum Computer Technology, University of Queensland, St Lucia, QLD 4072 (Australia)
School of Physical Sciences, University of Queensland, QLD 4072 (Australia)

Publication Date:: Sun Aug 01 00:00:00 EDT 2004

OSTI Identifier:: 20645848

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 70; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.70.022303; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; BIFURCATION; COMPARATIVE EVALUATIONS; CORRELATIONS; COUPLING; DEGREES OF FREEDOM; GROUND STATES; HARMONIC OSCILLATORS; INFORMATION THEORY; JAHN-TELLER EFFECT; MAGNETIC FIELDS; OSCILLATORS; QUANTUM MECHANICS

Citation Formats


                    Hines, Andrew P, Milburn, G J, School of Physical Sciences, University of Queensland, QLD 4072, Dawson, Christopher M, and McKenzie, Ross H. Entanglement and bifurcations in Jahn-Teller models.  United States: N. p., 2004. 
        Web.  doi:10.1103/PhysRevA.70.022303.

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                    Hines, Andrew P, Milburn, G J, School of Physical Sciences, University of Queensland, QLD 4072, Dawson, Christopher M, & McKenzie, Ross H. Entanglement and bifurcations in Jahn-Teller models.  United States.  https://doi.org/10.1103/PhysRevA.70.022303

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                    Hines, Andrew P, Milburn, G J, School of Physical Sciences, University of Queensland, QLD 4072, Dawson, Christopher M, and McKenzie, Ross H. 2004.  
        "Entanglement and bifurcations in Jahn-Teller models".  United States.  https://doi.org/10.1103/PhysRevA.70.022303.

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@article{osti_20645848,

  title        = {Entanglement and bifurcations in Jahn-Teller models},

  author       = {Hines, Andrew P and Milburn, G J and School of Physical Sciences, University of Queensland, QLD 4072 and Dawson, Christopher M and McKenzie, Ross H},

  abstractNote = {We compare and contrast the entanglement in the ground state of two Jahn-Teller models. The Ex{beta} system models the coupling of a two-level electronic system, or qubit, to a single-oscillator mode, while the Ex{epsilon} 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 Ex{beta} system, the ground states of the Ex{epsilon} model always exhibit entanglement. For the Ex{beta} 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 Ex{epsilon} 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.},

  doi          = {10.1103/PhysRevA.70.022303},

  url          = {https://www.osti.gov/biblio/20645848},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 2,

  volume       = 70,

  place        = {United States},

  year         = {Sun Aug 01 00:00:00 EDT 2004},

  month        = {Sun Aug 01 00:00:00 EDT 2004}

}

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