Delayed Coherent Quantum Feedback from a Scattering Theory and a Matrix Product State Perspective

Abstract

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.

28 pages, 6 figures

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Cited by in corpus (6)

• Non-Markovian super-superradiance in a linear chain of up to 100 qubits
• Quantum trajectory theory of few photon cavity-QED systems with a time-delayed coherent feedback
• Strongly entangled system-reservoir dynamics with multiphoton pulses beyond the two-excitation limit: Exciting the atom-photon bound state
• Multipartite correlations in quantum collision models
• Diagrammatic approach for analytical non-Markovian time-evolution: Fermi's two atom problem and causality in waveguide quantum electrodynamics
• Transmon in a semi-infinite high-impedance transmission line -- appearance of cavity modes and Rabi oscillations