Abstract
In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with a Dirac cone dispersion. We show that a single quantum emitter spectrally tuned in the vicinity of the Dirac point relaxes following a logarithmic law in time. Moreover, when several emitters are coupled to the bath at that frequency, long-range coherent interactions between them appear which decay inversely proportional to their distance without exponential attenuation. We analyze both the finite and infinite system situation using both perturbative and nonperturbative methods.
- Received 22 September 2017
DOI:https://doi.org/10.1103/PhysRevA.97.043831
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