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

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

doi:10.1137/18M1210770

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 publication › Journal article › Academic research › peer-review

13 Citations (Scopus)

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
Pages (from-to)	3445-3470
Number of pages	26
Journal	SIAM Journal on Control and Optimization
Volume	57
Issue number	5
DOIs	https://doi.org/10.1137/18M1210770
Publication status	Published - 17 Oct 2019

Keywords

Input-output formalism
Quantum control
Two-level system

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

More information

10.1137/18M1210770

http://hdl.handle.net/10397/91212

Cite this

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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.",

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AU - Amini, N. H.

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AB - 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.

KW - Input-output formalism

KW - Quantum control

KW - Two-level system

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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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