Explore the concept of time-crystalline eigenstate order in quantum systems through this 40-minute conference talk delivered at the Transport and Efficient Energy Conversion in Quantum Systems Conference at KITP. Delve into the fascinating world of many-body phases out of equilibrium, understanding the nature of time crystals and their manifestation in Floquet systems. Examine the challenges of observing eigenstate-ordered many-body localized discrete time crystals, with a focus on experiments using Google's Sycamore Device. Investigate dynamical signatures, finite-size effects, and the verification of quantum dynamics. Gain insights into the experimental requirements for stable discrete time crystals and explore the diverse "zoo" of time crystal phenomena. This talk bridges theoretical concepts with cutting-edge experimental work, offering a comprehensive overview of recent advances in quantum physics and their implications for energy transport and conversion in non-equilibrium systems. Read more