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Exploring Hilbert-Space fragmentation on a superconducting processor

  • Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems subjected to linear potentials, termed Stark many-body localization. This phenomenon is closely associated with Hilbert-space fragmentation, characterized by a strong dependence of dynamics on initial conditions. Here, we explore initial-state-dependent dynamics using a ladder-type superconducting processor with up to 24 qubits, which enables precise control of the qubit frequency and initial-state preparation. In systems with linear potentials, we experimentally observe distinct nonequilibrium dynamics for initial states with the same quantum numbers and energy, but with varying domain-wall numbers. Accompanied by the numerical simulation for systems with larger sizes, we reveal that this distinction becomes increasingly pronounced as the system size grows,Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems subjected to linear potentials, termed Stark many-body localization. This phenomenon is closely associated with Hilbert-space fragmentation, characterized by a strong dependence of dynamics on initial conditions. Here, we explore initial-state-dependent dynamics using a ladder-type superconducting processor with up to 24 qubits, which enables precise control of the qubit frequency and initial-state preparation. In systems with linear potentials, we experimentally observe distinct nonequilibrium dynamics for initial states with the same quantum numbers and energy, but with varying domain-wall numbers. Accompanied by the numerical simulation for systems with larger sizes, we reveal that this distinction becomes increasingly pronounced as the system size grows, in contrast with weakly disordered interacting systems. Our results provide convincing experimental evidence of the fragmentation in Stark systems, enriching our understanding of the weak breakdown of ergodicity.show moreshow less

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Author:Yong-Yi Wang, Yun-Hao Shi, Zheng-Hang Sun, Chi-Tong Chen, Zheng-An Wang, Kui Zhao, Hao-Tian Liu, Wei-Guo Ma, Ziting Wang, Hao Li, Jia-Chi Zhang, Yu Liu, Cheng-Lin Deng, Tian-Ming Li, Yang He, Zheng-He Liu, Zhen-Yu Peng, Xiaohui Song, Guangming Xue, Haifeng Yu, Kaixuan Huang, Zhongcheng Xiang, Dongning Zheng, Kai Xu, Heng Fan
URN:urn:nbn:de:bvb:384-opus4-1203070
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/120307
ISSN:2691-3399OPAC
Parent Title (English):PRX Quantum
Publisher:American Physical Society (APS)
Place of publication:College Park, MD
Type:Article
Language:English
Year of first Publication:2025
Publishing Institution:Universität Augsburg
Release Date:2025/03/16
Volume:6
Issue:1
First Page:010325
DOI:https://doi.org/10.1103/prxquantum.6.010325
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)