Abstract
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 language | English |
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Pages (from-to) | 3445-3470 |
Number of pages | 26 |
Journal | SIAM Journal on Control and Optimization |
Volume | 57 |
Issue number | 5 |
DOIs | |
Publication status | Published - 17 Oct 2019 |
Keywords
- Input-output formalism
- Quantum control
- Two-level system
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics