Entanglement of a qubit with a single oscillator mode

Details Entanglement of a qubit with a single oscillator mode Entanglement of a qubit with a single oscillator mode

2003-01-23

arxiv.org/abs/cond-mat/0301463v2

Phys. Rev. B 69, 113203 (2004).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure; added calculation of entanglement entropy

Scientific paper

10.1103/PhysRevB.69.113203

We solve a model of a qubit strongly coupled to a massive environmental oscillator mode where the qubit backaction is treated exactly. Using a Ginzburg-Landau formalism, we derive an effective action for this well known localization transition. An entangled state emerges as an instanton in the collective qubit-environment degree of freedom and the resulting model is shown to be formally equivalent to a Fluctuating Gap Model (FGM) of a disordered Peierls chain. Below the transition, spectral weight is transferred to an exponentially small energy scale leaving the qubit coherent but damped. Unlike the spin-boson model, coherent and effectively localized behaviors may coexist.

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