On the response of a two-level system to two-photon inputs

Z. Y. Dong, G. F. Zhang, N. H. Amini

Research output: Journal article publicationJournal articleAcademic researchpeer-review

10 Citations (Scopus)


The purpose of this paper is to study the interaction between a two-level system (qubit) and two continuous-mode photons. Two scenarios are investigated: Case 1, how a two-level system changes the pulse shapes of two input photons propagating in a single input channel; and Case 2, how a two-level system responds to two counterpropagating photons, one in each input channel. The steady-state output field states for both cases are derived analytically in both the time and frequency domains. Numerical simulations demonstrate rich and interesting two-photon scattering phenomena induced by a two-level system.

Original languageEnglish
Pages (from-to)3445-3470
Number of pages26
JournalSIAM Journal on Control and Optimization
Issue number5
Publication statusPublished - 17 Oct 2019


  • Input-output formalism
  • Quantum control
  • Two-level system

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics


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