Quantum superpositions of current states in Rydberg-atom networks

Fuente: arXiv
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Main Authors: Perciavalle, Francesco, Rossini, Davide, Polo, Juan, Morsch, Oliver, Amico, Luigi
Format: Preprint
Published: 2024
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author Perciavalle, Francesco
Rossini, Davide
Polo, Juan
Morsch, Oliver
Amico, Luigi
author_facet Perciavalle, Francesco
Rossini, Davide
Polo, Juan
Morsch, Oliver
Amico, Luigi
contents 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 to engineer current states: quantum states characterized by Rydberg excitations propagating in a given spatially closed tweezer networks. Indeed, current states with different winding numbers can be generated on demand. Besides those ones with single winding number, superposition of quantum current states characterized by more winding numbers can be obtained. 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 without the need of accessing high order correlators.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03202
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum superpositions of current states in Rydberg-atom networks
Perciavalle, Francesco
Rossini, Davide
Polo, Juan
Morsch, Oliver
Amico, Luigi
Quantum Physics
Quantum Gases
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 to engineer current states: quantum states characterized by Rydberg excitations propagating in a given spatially closed tweezer networks. Indeed, current states with different winding numbers can be generated on demand. Besides those ones with single winding number, superposition of quantum current states characterized by more winding numbers can be obtained. 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 without the need of accessing high order correlators.
title Quantum superpositions of current states in Rydberg-atom networks
topic Quantum Physics
Quantum Gases
url https://arxiv.org/abs/2403.03202