From a posteriori to a priori solutions for a two-level system interacting with a single-photon wavepacket

Abstract

We present the analytical formulas for the conditional and unconditional states of a two-level atom interacting with a single-photon wavepacket. We express the a priori state of the system by means of the quantum trajectories related to the process of detection of photons in the output field. We give the formulas for the mean number of photons detected up to the given time and we derive the expressions for the mean time of detection of the photons.

11 pages

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• Collisional picture of quantum optics with giant emitters
• Multipartite correlations in quantum collision models
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Photon counting probabilities of the output field for a single-photon input
• Eternally non-Markovian dynamics of a qubit interacting with a single-photon wavepacket
• Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state
• Control of continuous-mode single-photon states: a review