Entanglement and bifurcations in Jahn-Teller models
- Centre for Quantum Computer Technology, University of Queensland, St Lucia, QLD 4072 (Australia)
- School of Physical Sciences, University of Queensland, QLD 4072 (Australia)
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.
- OSTI ID:
- 20645848
- Journal Information:
- Physical Review. A, Vol. 70, Issue 2; Other Information: DOI: 10.1103/PhysRevA.70.022303; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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