Delayed coherent quantum feedback from a scattering theory and a matrix product state perspective

We study the scattering of photons propagating in a semi-infinite waveguide terminated by a mirror and interacting with a quantum emitter. This paradigm constitutes an example of coherent quantum feedback, where light emitted towards the mirror gets redirected back to the emitter. We derive an analy...

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Bibliographic Details
Published in:Quantum science and technology 2017-12, Vol.2 (4), p.44012
Main Authors: Guimond, P-O, Pletyukhov, M, Pichler, H, Zoller, P
Format: Article
Language:English
Subjects:
matrix product states
non-markovian coherent quantum feedback
two-photon scattering
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Summary:We study the scattering of photons propagating in a semi-infinite waveguide terminated by a mirror and interacting with a quantum emitter. This paradigm constitutes an example of coherent quantum feedback, where light emitted towards the mirror gets redirected back to the emitter. We derive an analytical solution for the scattering of two-photon states, which is based on an exact resummation of the perturbative expansion of the scattering matrix, in a regime where the time delay of the coherent feedback is comparable to the timescale of the quantum emitter's dynamics. We compare the results with numerical simulations based on matrix product state techniques simulating the full dynamics of the system, and extend the study to the scattering of coherent states beyond the low-power limit.
ISSN:2058-9565
2058-9565
DOI:10.1088/2058-9565/aa7f03