Quantum superpositions of current states in Rydberg-atom networks
Year: 2024
Authors: Perciavalle F., Rossini D., Polo J., Morsch O., Amico L.
Autors Affiliation: Technol Innovat Inst, Quantum Res Ctr, POB 9639, Abu Dhabi, U Arab Emirates; Univ Pisa, Dipartimento Fis dell, Largo Pontecorvo 3, I-56127 Pisa, Italy; INFN, Largo Pontecorvo 3, I-56127 Pisa, Italy; CNR, INO, Largo Pontecorvo 3, I-56127 Pisa, Italy; Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy; Astron Ettore Majorana Univ Catania, Dipartimento Fis, Via S Sofia 64, I-95123 Catania, Italy; INFN, Sez Catania, Via S Sofia 64, I-95123 Catania, Italy.
Abstract: 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.
Journal/Review: PHYSICAL REVIEW RESEARCH
Volume: 6 (4) Pages from: 43025-1 to: 43025-16
More Information: We thank E. C. Domanti, W. J. Chetcuti, and A. Lerose for useful discussions. The Julian Schwinger Foundation Grant No. JSF-18-12-0011 is acknowledged. O.M. also acknowledges support by the H2020 ITN MOQS (Grant Agreement No. 955479) and MUR (Ministero dell’Universita e della Ricerca) through the PNRR MUR project PE0000023-NQSTI.KeyWords: Simulations; Dynamics; PhysicsDOI: 10.1103/PhysRevResearch.6.043025