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Shattered Time: Can a Time Crystal Survive Quantum Correlations?

Time crystals are an exotic new form of matter proposed by Nobel laureate Frank Wilczek in 2012 and demonstrated in lab experiments by two independent groups in the past two years. Potential applications include major steps forward in precise timekeeping and quantum metrology, in addition to possible applications to memory systems in quantum computing. In our work, we employ several different approaches to simulate an example open quantum system exhibiting time crystal behavior in an effort to address the question: how quantum is a time crystal? In other words, can it exist in systems exhibiting a high degree of entanglement between particles? In answering this question, we will explore the connection between our quantum system and classical synchronization models as well as the limitations of existing methods for simulating these types of systems.