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

Zhiyuan Dong (1) , Guofeng Zhang (2) , Nina Amini (3)

1 Shenzhen Graduate School, Harbin Institute of Technology
2 POLYU - The Hong Kong Polytechnic University [Hong Kong]
3 L2S - Laboratoire des signaux et systèmes

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.

Domaines: Optimisation et contrôle [math.OC]; Physique Quantique [quant-ph]; Physique mathématique [math-ph]

Zhiyuan Dong, Guofeng Zhang, Nina Amini. On the response of a two-level system to two-photon inputs. SIAM Journal on Control and Optimization, 2019, 57 (5), pp.3445-3470. ⟨10.1137/18M1210770⟩. ⟨hal-02374498⟩