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Area of Science:

  • Quantum optics
  • Solid-state physics
  • Quantum information science

Background:

  • Investigating light-matter interactions is crucial for quantum technologies.
  • Understanding multi-photon scattering in quantum systems reveals complex quantum phenomena.
  • Non-Markovian effects in quantum systems are key to advanced quantum information processing.

Purpose of the Study:

  • To provide an exact analytical solution for inelastic two-photon scattering between two qubits.
  • To explore non-Markovian effects in a specific qubit configuration.
  • To investigate phenomena like two-photon interference and momentum-dependent photon bunching.

Main Methods:

  • Analytical solution of the two-photon scattering problem.
  • Modeling of two qubits coupled to a one-dimensional transmission line.
  • Analysis of scattering properties for a transparent qubit configuration.

Main Results:

  • An exact solution for inelastic two-photon scattering is derived.
  • A qubit configuration transparent to single-photon scattering is identified.
  • Strong two-photon interference and momentum-dependent photon bunching are observed.
  • An inelastic generalization of the Hong-Ou-Mandel effect is demonstrated.

Conclusions:

  • The study provides a theoretical framework for understanding complex multi-photon scattering.
  • Non-Markovian effects significantly influence two-photon scattering dynamics.
  • The demonstrated effects have implications for quantum information processing and metrology.