Journal
NEW JOURNAL OF PHYSICS
Volume 17, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/11/113001
Keywords
quantum nonlinear optics; atoms coupled to waveguides; input-output formalism
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Funding
- La Caixa-Severo Ochoa PhD Fellowship
- EU project SIQS
- Fundacio Cellex Privada Barcelona
- Ramon y Cajal program
- Marie Curie CIG project ATOMNANO
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There has been rapid development of systems that yield strong interactions between freely propagating photons in one-dimension via controlled coupling to quantum emitters. This raises interesting possibilities such as quantum information processing with photons or quantum many-body states of light, but treating such systems generally remains a difficult task theoretically. Here, we describe a novel technique in which the dynamics and correlations of a few photons can be exactly calculated, based upon knowledge of the initial photonic state and the solution of the reduced effective dynamics of the quantum emitters alone. We show that this generalized 'input-output' formalism allows for a straightforward numerical implementation regardless of system details, such as emitter positions, external driving, and level structure. As a specific example, we apply our technique to show how atomic systems with infinite-range interactions and under conditions of electromagnetically induced transparency enable the selective transmission of correlated multi-photon states.
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