Quantum dynamics of propagating photons with strong interactions: a generalized input–output formalism

By T. Caneva, M. Manzoni, T. Shi, James S. Douglas, J. I. Cirac, Darrick E. Chang. 2015

186 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/a6382f12fbc4cd97a298f78bd5be22562d95e219

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Citations in the corpus

Atom-light interactions in quasi-one-dimensional nanostructures: A Green's-function perspective (2016, background): “The quantum nature of these equations has been treated before when deriving a generalized input-output formalism for unstructured waveguides [58, 59].”
Colloquium: Strongly interacting photons in one-dimensional continuum (2016, methodology): “While most have been within the standard Markovian approximation (Caneva et al., 2015; Chang et al., 2012; Dzsotjan et al., 2010; Roy, 2013a; Yudson and Reineker, 2008), others have looked for distinctly non-Markovian effects (Laakso and Pletyukhov, 2014; Zheng and Baranger, 2013).”
Dynamics of Many-Body Photon Bound States in Chiral Waveguide QED (2019, methodology): “This can be seen by formally integrating the Heisenberg equation for the field operator âðx; tÞ, that provides, within the Born-Markov approximation, the following generalized input-output relation for the transmitted field [26,27]”
Exponential Improvement in Photon Storage Fidelities Using Subradiance and “Selective Radiance” in Atomic Arrays (2017, background): “12(b), which shows a very small bump, as the distance d 1⁄4 λ1D=4minimizes reflection due to destructive interference [49].”
Quantum matter built from nanoscopic lattices of atoms and photons (2018, background): “The simplest example of a situation that cannot readily be achieved using (short-range) Rydberg interactions is a spatially uniform interaction across the atomic ensemble fðzj; zlÞ ¼ U (Caneva et al., 2015; Douglas, Caneva, and Chang, 2016).”
Subradiant states of quantum bits coupled to a one-dimensional waveguide (2018, background): “ut the quantum electromagnetic environment in the Markovian regime, one nds that emission of photons into the waveguide leads to cooperative emission and exchange-type interactions between the qubits [19,21,24,26,27]. The dynamics of the qubit density matrix ˆcan be described by a master equation of”
Dynamics of non-Markovian open quantum systems (2015, background): “Recently, it was also extended to describe few-photon transport, considering a waveguide with a single atom (Fan et al., 2010) and many spatially distributed atoms (Caneva et al., 2015).”