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arXiv · 1705.10242

Purely Long-Range Coherent Interactions in Two-Dimensional Structured Baths

A. González-Tudela·J. I. Cirac
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Abstract

In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with hexagonal symmetry. We show that a single quantum emitter spectrally tuned to the middle of the band relaxes following a logarithmic law in time due to the existence of a singular point with vanishing density of states, i.e., the Dirac point. 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 non-perturbative methods.

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A. González-Tudela, J. I. Cirac. 2018-01-19. Purely Long-Range Coherent Interactions in Two-Dimensional Structured Baths. https://doi.org/10.1103/physreva.97.043831

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