Abstract

By investigating the intensity correlation function, we study the spectral/temporal mode properties of twin beams generated by the pulse-pumped high gain spontaneous four wave mixing (SFWM) in optical fiber from both the theoretical and experimental aspects. The results show that the temporal property depends not only on the phase matching condition and the filters applied in the signal and idler fields, but also on the gain of SFWM. When the gain of SFWM is low, the spectral/temporal mode properties of the twin beams are determined by the phase matching condition and optical filtering and are usually of multi-mode nature, which leads to a value larger than 1 but distinctly smaller than 2 for the normalized intensity correlation function of individual signal/idler beam. However, when the gain of SFWM is very high, we demonstrate the normalized intensity correlation function of individual signal/idler beam approaches to 2, which is a signature of single temporal mode. This is so even if the frequencies of signal and idler fields are highly correlated so that the twin beams have multiple modes in low gain regime. We find that the reason for this behavior is the dominance of the fundamental mode over other higher order modes at high gain. Our investigation is useful for constructing high quality multi-mode squeezed and entangled states by using pulse-pumped spontaneous parametric down-conversion and SFWM.

Highlights

  • Pulse-pumped, single pass spontaneous parametric emission, including χ(2) nonlinearity based spontaneous parametric down-conversion (SPDC) and χ(3) nonlinearity based spontaneous four-wave mixing (SFWM), is one of the most popular approaches for generating the quantum states of light [1,2,3,4,5,6,7]

  • The temporal properties of signal and idler twin beams generated by a pulse-pumped SPDC and SFWM in the low gain regime have been extensively studied [9,10,11], because it affects the visibility of the Hong-Ou-Mandel interference between independent sources, which plays an important role for fulfilling quantum information processing (QIP) tasks, such as quantum teleportation, entanglement swapping, and linear optical quantum computing etc. [12,13,14]

  • We have studied temporal/spectral mode property of twin beams generated by the pulse-pumped spontaneous four wave mixing in optical fiber with the measurement of the normalized intensity correlation function of individual signal and idler beams

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Summary

Introduction

Pulse-pumped, single pass spontaneous parametric emission, including χ(2) nonlinearity based spontaneous parametric down-conversion (SPDC) and χ(3) nonlinearity based spontaneous four-wave mixing (SFWM), is one of the most popular approaches for generating the quantum states of light [1,2,3,4,5,6,7]. The temporal properties of signal and idler twin beams generated by a pulse-pumped SPDC and SFWM in the low gain regime have been extensively studied [9,10,11], because it affects the visibility of the Hong-Ou-Mandel interference between independent sources, which plays an important role for fulfilling quantum information processing (QIP) tasks, such as quantum teleportation, entanglement swapping, and linear optical quantum computing etc. The results are affected by the complicated interplay of both the spatial and temporal modes because ultrashort pump pulses are employed to achieve high gain. Our analysis is based on our previous work [16] with the method of singular value decomposition This approach was recently employed for spatial mode analysis in high gain bulk χ(2) parametric down-conversion processes [21, 22].

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