Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping

Year: 2022

Authors: Roy SS., Carl L., Hauke P.

Autors Affiliation: Univ Trento, CNR INO, Pitaevskii BEC Ctr, Via Sommarive 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommarive 14, I-38123 Trento, Italy; Trento Inst Fundamental Phys & Applicat, INFN TIFPA, Trento, Italy.

Abstract: Frustration and quantum entanglement are two exotic quantum properties in quantum many-body systems. However, despite several efforts, an exact relationship between them remains elusive. In this work, we explore the relationship between frustration and quantum entanglement in a physical model describing strongly correlated ultracold bosonic atoms in optical lattices. In particular, we consider the one-dimensional Bose-Hubbard model comprising both nearest-neighbor (t(1)) and frustrated next-nearest neighbor (t(2)) hoppings and examine how the interplay of on-site interaction (U) and hoppings results in different quantum correlations dominating the ground state of the system. We then analyze the behavior of quantum entanglement in the model. In particular, we compute genuine multipartite entanglement as quantified through the generalized geometric measure and make a comparative study with bipartite entanglement and other relevant order parameters. We observe that genuine multipartite entanglement has a very rich behavior throughout the considered parameter regime and frustration does not necessarily favor generating a high amount of it. Moreover, we show that in the region with strong quantum fluctuations, the particles remain highly delocalized in all momentum modes and share a very low amount of both bipartite and multipartite entanglement. Our work illustrates the necessity to give separate attention to dominating ordering behavior and quantum entanglement in the ground state of strongly correlated systems.

Journal/Review: PHYSICAL REVIEW B

Volume: 106 (19)      Pages from: 195158-1  to: 195158-13

More Information: We acknowledge support by the ERC Starting Grant StrEnQTh (project ID 804305), Provincia Autonoma di Trento, and by Q@TN, the joint laboratory between University of Trento, FBK-Fondazione Bruno Kessler, INFN-National Institute for Nuclear Physics and CNR-National Research Council. We thank Soumik Bandyopadhyay for reading the manuscript and providing useful suggestions. We also acknowledge the use of ITENSOR C++ library for the DMRG computations performed in this work [93].
KeyWords: Quantum Computational Advantage; Information; Lattices; Particle; State
DOI: 10.1103/PhysRevB.106.195158

Citations: 4
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