Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

Journal Article · Fri Apr 05 00:00:00 EDT 2024 · Science

DOI:https://doi.org/10.1126/science.adi7877· OSTI ID:2579986

Rosenberg, E.; Andersen, T.; Samajdar, R.; Petukhov, A.; Hoke, J.; Abanin, D.; Bengtsson, A.; Drozdov, I.; Erickson, C.; Klimov, P.; 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.; Bilmes, A.; Bortoli, G.; Bourassa, A.; Bovaird, J.; Brill, L.; Broughton, M.; Buckley, B.; Buell, D.; Burger, T.; Burkett, B.; Bushnell, N.; Campero, J.; Chang, H.; Chen, Z.; Chiaro, B.; Chik, D.; Cogan, J.; Collins, R.; Conner, P.; Courtney, W.; Crook, A.; Curtin, B.; Debroy, D.; Barba, A.; Demura, S.; Di Paolo, A.; Dunsworth, A.; Earle, C.; Faoro, L.; Farhi, E.; Fatemi, R.; Ferreira, V.; Burgos, L.; Forati, E.; Fowler, A.; Foxen, B.; Garcia, G.; Genois, É.; Giang, W.; Gidney, C.; Gilboa, D.; Giustina, M.; Gosula, R.; Dau, A.; Gross, J.; Habegger, S.; Hamilton, M.; Hansen, M.; Harrigan, M.; Harrington, S.; Heu, P.; Hill, G.; Hoffmann, M.; Hong, S.; Huang, T.; Huff, A.; Huggins, W.; Ioffe, L.; Isakov, S.; Iveland, J.; Jeffrey, E.; Jiang, Z.; Jones, C.; Juhas, P.; Kafri, D.; Khattar, T.; Khezri, M.; Kieferová, M.; Kim, S.; Kitaev, A.; Klots, A.; Korotkov, A.; Kostritsa, F.; Kreikebaum, J.; Landhuis, D.; Laptev, P.; Lau, K.; Laws, L.; Lee, J.; Lee, K.; Lensky, Y.; Lester, B.; Lill, A.; Liu, W.; Locharla, A.; Mandrà, S.; Martin, O.; Martin, S.; McClean, J.; McEwen, M.; Meeks, S.; Miao, K.; Mieszala, A.; Montazeri, S.; Movassagh, R.; Mruczkiewicz, W.; Nersisyan, A.; Newman, M.; Ng, J.; Nguyen, A.; Nguyen, M.; Niu, M.; O’Brien, T.; Omonije, S.; Opremcak, A.; Potter, R.; Pryadko, L.; Quintana, C.; Rhodes, D.; Rocque, C.; Rubin, N.; Saei, N.; Sank, D.; Sankaragomathi, K.; Satzinger, K.; Schurkus, H.; Schuster, C.; Shearn, M.; Shorter, A.; Shutty, N.; Shvarts, V.; Sivak, V.; Skruzny, J.; Smith, W.; Somma, R.; Sterling, G.; Strain, D.; Szalay, M.; Thor, D.; Torres, A.; Vidal, G.; Villalonga, B.; Heidweiller, C.; White, T.; Woo, B.; Xing, C.; Yao, Z.; 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.

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, $P\left(\mathcal{M}\right)$ . The first two moments of $P\left(\mathcal{M}\right)$ 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.

• Research Organization: Stanford Univ., CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: SC0021111
• OSTI ID: 2579986
• Journal Information: Science, Journal Name: Science Journal Issue: 6691 Vol. 384; ISSN 0036-8075
• Publisher: AAAS
• Country of Publication: United States
• Language: EN

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