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arXiv · 1001.0398

Decoherence due to an excited state quantum phase transition in a two-level boson model

P. Perez-Fernandez·A. Relano·J. M. Arias·J. Dukelsky·J. E. Garcia-Ramos
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Abstract

The decoherence induced on a single qubit by its interaction with the environment is studied. The environment is modelled as a scalar two-level boson system that can go through either first order or continuous excited state quantum phase transitions, depending on the values of the control parameters. A mean field method based on the Tamm-Damkoff approximation is worked out in order to understand the observed behaviour of the decoherence. Only the continuous excited state phase transition produces a noticeable effect in the decoherence of the qubit. This is maximal when the system-environment coupling brings the environment to the critical point for the continuous phase transition. In this situation, the decoherence factor (or the fidelity) goes to zero with a finite size scaling power law.

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P. Perez-Fernandez, A. Relano, J. M. Arias, J. Dukelsky, J. E. Garcia-Ramos. 2010-01-03. Decoherence due to an excited state quantum phase transition in a two-level boson model. https://doi.org/10.1103/physreva.80.032111

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