We introduce the concept of optical coherence squeezing in double-slit interference. We construct Hermitian operators that characterize the coherence at the slits, leading to coherence uncertainty relations and a corresponding squeezing condition. We also analyze states exhibiting such squeezing and show its manifestations in the uncertainty of the magnitudes and positions of the intensity fringes. Our work suggests that coherence may be regarded as a degree of freedom for squeezing, complementing phase, amplitude, and polarization, which could benefit quantum-enhanced interferometry.

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• Optical coherence
• Quantum fluctuations & noise
• Quantum optics
• Quantum states of light
• Squeezing of quantum noise
• Uncertainty relation
• Phase space methods