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
Summary
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
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