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High coherent frequency-entangled photons at telecom band are critical inquantum information protocols and quantum tele-communication. While photonpairs generated by spontaneous parametric down-conversion in nonlinear crystalor modulation instability in optical fiber exhibit random fluctuations, makingthe photons distinguishable among consecutive roundtrips. Here, we demonstratea frequency-entangled photons based on parametric instability in an activefiber ring cavity, where periodic modulation of dispersion excites parametricresonance. The characteristic wave number in parametric instability is selectedby the periodic modulation of resonator, and stable patterns with symmetricgains are formed. We find that the spectra of parametric instability sidebandspossess a high degree of coherence, which is verified by the background-freeautocorrelation of single-shot spectra. Two photon interference is performed bya fiber-based Mach-Zehnder interferometer without any stabilization. We obtaina Hong-Ou-Mandel interference visibility of 86.3% with a dip width of 4.3 mm.The correlation time measurement exhibits a linewidth of 68.36 MHz, indicatinghigh coherence and indistinguishability among the photon pairs. Our resultsproves that the parametric instability in active fiber cavity is effective togenerate high coherent frequency-entangled photon pairs, which would facilitatesubsequent quantum applications.

High coherent frequency-entangled photons generated by parametric instability in active fiber ring cavity