Abstract
We study quantum frequency translation and two-color photon interference enabled by the Bragg scattering four-wave mixing process in optical fiber. Using realistic model parameters, we computationally and analytically determine the Green function and Schmidt modes for cases with various pump-pulse lengths. These cases can be categorized as either "non-discriminatory" or "discriminatory" in regards to their propensity to exhibit high-efficiency translation or high-visibility two-photon interference for many different shapes of input wave packets or for only a few input wave packets, respectively. Also, for a particular case, the Schmidt mode set was found to be nearly equal to a Hermite-Gaussian function set. The methods and results also apply with little modification to frequency conversion by sum-frequency conversion in optical crystals.
Highlights
Quantum frequency translation (QFT) is the process whereby two spectral modes are swapped in the sense that the properties of their quantum states are interchanged, as in Fig. 1 [1, 2, 3]
In this paper we extend our earlier treatments [3, 10] to enable the explicit modeling of QFT by four-wave mixing (FWM) in optical fiber or by three-wave mixing in a crystal
In this paper we studied quantum frequency translation (QFT) by the four-wave mixing interaction of Bragg scattering (BS) using a realistic numerical model of photonic crystal fiber and an analytical approximate solution valid for low conversion efficiency
Summary
Quantum frequency translation (QFT) is the process whereby two spectral modes (or narrow bands of modes) are swapped in the sense that the properties of their quantum states (other than their central frequencies) are interchanged, as in Fig. 1 [1, 2, 3]. One could use the light’s color as a degree of freedom identifying optical qubits and perform linear-optical quantum computing using the generalization of the HOM effect involving distinct frequencies This would entail creating entangled states involving many distinct frequencies (perhaps by methods such as in [13, 14]), and manipulating such states using two-mode interference via QFT. We show that for given temporal shapes of the pump pulses, usually there are unique shapes that the two signal wave packets should have in order that they be swapped optimally by QFT These shapes are found as the optimal modes of a singular-value (Schmidt) decomposition of the Green function for the QFT process, and the shapes change significantly with changing translation efficiency. For a given pump temporal shape, how to design signal pulse shapes to create perfect HOM interference via the FWM process, as first predicted in [10]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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
