Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
成果类型：
Article
署名作者：
Rosenberg, E.; Andersen, T. I.; Samajdar, R.; Petukhov, A.; Hoke, J. C.; Abanin, D.; Bengtsson, A.; Drozdov, I. K.; Erickson, C.; Klimov, P. V.; Mi, X.; Morvan, A.; Neeley, M.; Neill, C.; Acharya, R.; Allen, R.; Anderson, K.; Ansmann, M.; Arute, F.; Arya, K.; Asfaw, A.; Atalaya, J.; Bardin, J. C.; Bilmes, A.; Bortoli, G.; Bourassa, A.; Bovaird, J.; Brill, L.; Broughton, M.; Buckley, B. B.; Buell, D. A.; Burger, T.; Burkett, B.; Bushnell, N.; Campero, J.; Chang, H. -S.; Chen, Z.; Chiaro, B.; Chik, D.; Cogan, J.; Collins, R.; Conner, P.; Courtney, W.; Crook, A. L.; Curtin, B.; Debroy, D. M.; Barba, A. Del Toro; Demura, S.; Di Paolo, A.; Dunsworth, A.; Earle, C.; Faoro, L.; Farhi, E.; Fatemi, R.; Ferreira, V. S.; Burgos, L. Flores; Forati, E.; Fowler, A. G.; Foxen, B.; Garcia, G.; Genois, E.; Giang, W.; Gidney, C.; Gilboa, D.; Giustina, M.; Gosula, R.; Dau, A. Grajales; Gross, J. A.; Habegger, S.; Hamilton, M. C.; Hansen, M.; Harrigan, M. P.; Harrington, S. D.; Heu, P.; Hill, G.; Hoffmann, M. R.; Hong, S.; Huang, T.; Huff, A.; Huggins, W. J.; Ioffe, L. B.; Isakov, S. V.; Iveland, J.; Jeffrey, E.; Jiang, Z.; Jones, C.; Juhas, P.; Kafri, D.; Khattar, T.; Khezri, M.; Kieferova, M.; Kim, S.; Kitaev, A.; Klots, A. R.; Korotkov, A. N.; Kostritsa, F.; Kreikebaum, J. M.; Landhuis, D.; Laptev, P.; Lau, K. -M.; Laws, L.; Lee, J.; Lee, K. W.; Lensky, Y. D.; Lester, B. J.; Lill, A. T.; Liu, W.; Locharla, A.; Mandra, S.; Martin, O.; Martin, S.; McClean, J. R.; McEwen, M.; Meeks, S.; Miao, K. C.; Mieszala, A.; Montazeri, S.; Movassagh, R.; Mruczkiewicz, W.; Nersisyan, A.; Newman, M.; Ng, J. H.; Nguyen, A.; Nguyen, M.; Niu, M. Y.; O'Brien, T. E.; Omonije, S.; Opremcak, A.; Potter, R.; Pryadko, L. P.; Quintana, C.; Rhodes, D. M.; Rocque, C.; Rubin, N. C.; Saei, N.; Sank, D.; Sankaragomathi, K.; Satzinger, K. J.; Schurkus, H. F.; Schuster, C.; Shearn, M. J.; Shorter, A.; Shutty, N.; Shvarts, V.; Sivak, V.; Skruzny, J.; Smith, W. Clarke; Somma, R. D.; Sterling, G.; Strain, D.; Szalay, M.; Thor, D.; Torres, A.; Vidal, G.; Villalonga, B.; Heidweiller, C. Vollgraff; White, T.; Woo, B. W. K.; Xing, C.; Yao, Z. Jamie; Yeh, P.; Yoo, J.; Young, G.; Zalcman, A.; Zhang, Y.; Zhu, N.; Zobrist, N.; Neven, H.; Babbush, R.; Bacon, D.; Boixo, S.; Hilton, J.; Lucero, E.; Megrant, A.; Kelly, J.; Chen, Y.; Smelyanskiy, V.; Khemani, V.; Gopalakrishnan, S.; Prosen, T.; Roushan, P.
署名单位：
Alphabet Inc.; Google Incorporated; Cornell University; Princeton University; Princeton University; Stanford University; University of Connecticut; University of Massachusetts System; University of Massachusetts Amherst; Auburn University System; Auburn University; University of Technology Sydney; University of California System; University of California Riverside; Columbia University; University of California System; University of California Riverside; University of Ljubljana
刊物名称：
SCIENCE
ISSN/ISSBN：
0036-13076
DOI：
10.1126/science.adi7877
发表日期：
2024-04-05
页码：
48-53
关键词：
emergent hydrodynamics
transport
distributions
UNIVERSALITY
MODEL
摘要：
Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the one-dimensional Heisenberg model were conjectured as to belong to the Kardar-Parisi-Zhang (KPZ) universality class based on the scaling of the infinite-temperature spin-spin correlation function. In a chain of 46 superconducting qubits, we studied the probability distribution of the magnetization transferred across the chain's center, P(M). The first two moments of P(M) show superdiffusive behavior, a hallmark of KPZ universality. However, the third and fourth moments ruled out the KPZ conjecture and allow for evaluating other theories. Our results highlight the importance of studying higher moments in determining dynamic universality classes and provide insights into universal behavior in quantum systems.