Quantum Pyragas control: Selective-control of individual photon probabilities

Abstract

Pyragas control allows to stabilize unstable states in applied nonlinear science. We propose to apply a quantum version of the Pyragas protocol to control individual photon-probabilities in an otherwise only globally accessible photon-probability distribution of a quantum light emitter. The versatility of quantum Pyragas control is demonstrated for the case of a two-level emitter in a pulsed laser-driven half cavity. We show that one- and two-photon events respond in a qualitatively different way to the half-cavity induced feedback signal. One-photon events are either enhanced or suppressed, depending on the choice of parameters. In contrast, two-photon events undergo exclusively an enhancement up to $50\%$ for the chosen pulse areas. We hereby propose an implementation of quantum Pyragas control via a time-delayed feedback setup.

revised and rewritten introduction

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Cited by in corpus (14)

• Non-Markovian features in semiconductor quantum optics: Quantifying the role of phonons in experiment and theory
• Modelling quantum light-matter interactions in waveguide-QED with retardation and a time-delayed feedback: matrix product states versus a space-discretized waveguide model
• Pronounced non-Markovian features in multiply-excited, multiple-emitter waveguide-QED: Retardation-induced anomalous population trappin
• Theory and limits of on-demand single photon sources using plasmonic resonators: a quantized quasinormal mode approach
• Quantum trajectory theory of few photon cavity-QED systems with a time-delayed coherent feedback
• Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model
• Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death
• Revival of oscillation and symmetry breaking in coupled quantum oscillators
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• Revisiting Quantum Feedback Control: Disentangling the Feedback-induced Phase from the Corresponding Amplitude
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains
• A tensor network approach to sensing quantum light-matter interactions
• A quantum optical realization of the Ornstein-Uhlenbeck process via simultaneous action of white noise and feedback
• Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control