Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
Creators: name: Rosenberg, Eliott
name: Andersen, Trond
name: Samajdar, Rhine
name: Petukhov, Andre
name: Hoke, Jesse
name: Abanin, Dmitry
name: Bengtsson, Andreas
name: Drozdov, Ilya
name: Erickson, Catherine
name: Klimov, Paul
name: Mi, Xiao
name: Morvan, Alexis
name: Neeley, Matthew
name: Neill, Charles
name: Acharya, Rajeev
name: Allen, Richard
name: Anderson, Kyle
name: Ansmann, Markus
name: Arute, Frank
name: Arya, Kunal
name: Asfaw, Abraham
name: Atalaya, Juan
name: Bardin, Joseph
name: Bilmes, A.
name: Bortoli, Gina
name: Bourassa, Alexandre
name: Bovaird, Jenna
name: Brill, Leon
name: Broughton, Michael
name: Buckley, Bob B.
name: Buell, David
name: Burger, Tim
name: Burkett, Brian
name: Bushnell, Nicholas
name: Campero, Juan
name: Chang, Hung-Shen
name: Chen, Zijun
name: Chiaro, Benjamin
name: Chik, Desmond
name: Cogan, Josh
name: Collins, Roberto
name: Conner, Paul
name: Courtney, William
name: Crook, Alexander
name: Curtin, Ben
name: Debroy, Dripto
name: Barba, Alexander Del Toro
name: Demura, Sean
name: Di Paolo, Agustin
name: Dunsworth, Andrew
name: Earle, Clint
name: Farhi, E.
name: Fatemi, Reza
name: Ferreira, Vinicius
name: Flores, Leslie
name: Forati, Ebrahim
name: Fowler, Austin
name: Foxen, Brooks
name: Garcia, Gonzalo
name: Genois, Élie
name: Giang, William
name: Gidney, Craig
name: Gilboa, Dar
name: Giustina, Marissa
name: Gosula, Raja
name: Dau, Alejandro Grajales
name: Gross, Jonathan
name: Habegger, Steve
name: Hamilton, Michael
name: Hansen, Monica
name: Harrigan, Matthew
name: Harrington, Sean
name: Heu, Paula
name: Hill, Gordon
name: Hoffmann, Markus
name: Hong, Sabrina
name: Huang, Trent
name: Huff, Ashley
name: Huggins, William
name: Ioffe, Lev
name: Isakov, Sergei
name: Iveland, Justin
name: Jeffrey, Evan
name: Jiang, Zhang
name: Jones, Cody
name: Juhas, Pavol
name: Kafri, D.
name: Khattar, Tanuj
name: Khezri, Mostafa
name: Kieferová, Mária
name: Kim, Seon
name: Kitaev, Alexei
name: Klots, Andrey
name: Korotkov, Alexander
name: Kostritsa, Fedor
name: Kreikebaum, John Mark
name: Landhuis, David
name: Laptev, Pavel
name: Lau, Kim Ming
name: Laws, Lily
name: Lee, Joonho
name: Lee, Kenneth
name: Lensky, Yuri
name: Lester, Brian
name: Lill, Alexander
name: Liu, Wayne
name: Livingston, William P.
name: Locharla, A.
name: Mandrà, Salvatore
name: Martin, Orion
name: Martin, Steven
name: McClean, Jarrod
name: McEwen, Matthew
name: Meeks, Seneca
name: Miao, Kevin
name: Mieszala, Amanda
name: Montazeri, Shirin
name: Movassagh, Ramis
name: Mruczkiewicz, Wojciech
name: Nersisyan, Ani
name: Newman, Michael
name: Ng, Jiun How
name: Nguyen, Anthony
name: Nguyen, Murray
name: Niu, M.
name: O'Brien, Thomas
name: Omonije, Seun
name: Opremcak, Alex
name: Potter, Rebecca
name: Pryadko, Leonid
name: Quintana, Chris
name: Rhodes, David
name: Rocque, Charles
name: Rubin, N.
name: Saei, Negar
name: Sank, Daniel
name: Sankaragomathi, Kannan
name: Satzinger, Kevin
name: Schurkus, Henry
name: Schuster, Christopher
name: Shearn, Michael
name: Shorter, Aaron
name: Shutty, Noah
name: Shvarts, Vladimir
name: Sivak, Volodymyr
name: Skruzny, Jindra
name: Smith, Clarke
name: Somma, Rolando
name: Sterling, George
name: Strain, Doug
name: Szalay, Marco
name: Thor, Douglas
name: Torres, Alfredo
name: Vidal, Guifre
name: Villalonga, Benjamin
name: Heidweiller, Catherine Vollgraff
name: White, Theodore
name: Woo, Bryan
name: Xing, Cheng
name: Yao, Jamie
name: Yeh, Ping
name: Yoo, Juhwan
name: Young, Grayson
name: Zalcman, Adam
name: Zhang, Yaxing
name: Zhu, Ningfeng
name: Zobrist, Nicholas
name: Neven, Hartmut
name: Babbush, Ryan
name: Bacon, Dave
name: Boixo, Sergio
name: Hilton, Jeremy
name: Lucero, Erik
name: Megrant, Anthony
name: Kelly, Julian
name: Chen, Yu
name: Smelyanskiy, Vadim
name: Khemani, Vedika
name: Gopalakrishnan, Sarang
name: Prosen, Tomaž
name: Roushan, Pedram
Publisher: name: arXiv
Year: 2023
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the 1D Heisenberg model were conjectured 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 study the probability distribution, $P(\mathcal{M})$, of the magnetization transferred across the chain's center. The first two moments of $P(\mathcal{M})$ show superdiffusive behavior, a hallmark of KPZ universality. However, the third and fourth moments rule 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 key insights into universal behavior in quantum systems.