Atomic Clocks and their Applications*

An extraordinary progress in quantum control and laser technologies led to the development of atomic clocks that will not lose a second in over 10 billion years. Exceptional precision of these clocks will enable many new applications: redefinition of the second, tests of fundamental physics laws, searches for the dark matter, gravitational wave detection, relativistic geodesy, very long baseline interferometry, quantum simulations, and many others. I will give an overview of future clock developments, including the nuclear clock, and their applications, focusing on the potential for quantum-science enabled discoveries.