Heisenberg treatment of multiphoton pulses in waveguide QED with time-delayed feedback

Abstract

The dynamics of waveguide-QED systems involving coherent time-delayed feedback give rise to a hierarchy of multi-time correlations within the Heisenberg picture due to the induced non-Markovianity. We propose to perform a projection onto a complete set of states in the Hilbert space to decompose the multi-time correlations into single-time matrix elements. To illustrate the procedure, we consider the paradigmatic example of a two-level system that couples to a semi-infinite waveguide and interacts with quantum light pulses. Our approach complements the range of available methods as it allows calculating the dynamics under the inclusion of additional dissipation channels in a numerically exact and efficient manner for multiphoton pulses of arbitrary shape where memory requirements are known in advance.

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• Harnessing spontaneous emission of correlated photon pairs from ladder-type giant atoms
• Improving On-Demand Single Photon Source Coherence and Indistinguishability Through a Time-Delayed Coherent Feedback
• Probing dressed states and quantum nonlinearities in a strongly coupled three-qubit waveguide system under optical pumping
• Multimode-cavity picture of non-Markovian waveguide QED