Abstract

We consider a simple quantum temporal imaging system on the basis of a time lens implemented by a parametric nonlinear optical process with a chirped pump. We review the main results of the modal theory of temporal imaging, developed recently by us. We illustrate this theory by a concrete example of type-I non-collinear sum-frequency generation process, where the phase matching is limited by the temporal walk-off of the signal and the idler waves. We have shown that the temporal modal functions of such an imaging system are chirped Hermite-Gauss functions.

Highlights

  • Quantum temporal imaging is a technique for the manipulation of the time-frequency degrees of freedom of a quantum state and it is based on the space-time duality of optical processes [1, 2]

  • In quantum communication and networking, optical processing of information may be accompanied by quantum noise, negligible in classical regime, but detrimental for fragile quantum states of light

  • In the considered case of sum frequency generation (SFG) the pump and the signal waves travel at the same group velocities, while the idler wave, having a higher carrier frequency, is delayed by the temporal walk-off time τi = |kp−ki |L [16], where L is the length of the SFG crystal

Read more

Summary

Introduction

Quantum temporal imaging is a technique for the manipulation of the time-frequency degrees of freedom of a quantum state and it is based on the space-time duality of optical processes [1, 2]. Strategies for manipulation of single-photon fields by temporal imaging technique have been considered for quantum optical pulse shaping [8], bandwidth compression [9], temporal imaging of time-bin entangled photonic wave packets [10], and manipulation of single-photon waveforms [11]. These results are especially important in the light of recent advances in generation of ultrabroadband biphotons by means of chirped quasi-phase-matched crystals [12, 13]. In the present work we develop the latter approach and study the eigenmodes of the quantum temporal system in the temporal domain

Quantum field transformation in a temporal imaging system
Temporal eigenmodes of the temporal imaging system
Conclusions

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.