Quantum superpositions of current states in Rydberg-atom networks
arxiv(2024)
摘要
Quantum simulation of many-body quantum systems using Rydberg-atom platforms
has become of extreme interest in the last years. The possibility to realize
spin Hamiltonians and the accurate control at the single atom level paved the
way for the study of quantum phases of matter and dynamics. Here, we propose a
quantum optimal control protocol based on the GRAPE algorithm to engineer
quantum current states. Besides current states characterized by a single
winding number, our approach allow to access superposition of quantum current
states. The single current states are eigenstates of the current operator that
therefore can define an observable that remains persistent at any time. In
particular, the features of the excitations dynamics reflects the nature of
current states, a fact that in principle can be used to characterize the nature
of the flow experimentally.
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