Quantum matter and clock: from emergent phenomena to fundamental physics

<!--HTML--><p>​​Precise quantum state engineering, many-body physics, and innovative laser technology are revolutionizing the performance of atomic clocks and metrology, providing opportunities to explore emerging phenomena and probe fundamental physics. Recent advances include precise control of many-body interactions to achieve high accuracy, measurement of gravitation time dilation across a few hundred micrometers, and employment of spin squeezing for clock comparison.</p>