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arXiv · 2306.09333

Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

Eliott Rosenberg·Trond Andersen·Rhine Samajdar·Andre Petukhov·Jesse Hoke·Dmitry Abanin·Andreas Bengtsson·Ilya Drozdov·Catherine Erickson·Paul Klimov·Xiao Mi·Alexis Morvan·Matthew Neeley·Charles Neill·Rajeev Acharya·Richard Allen·Kyle Anderson·Markus Ansmann·Frank Arute·Kunal Arya·Abraham Asfaw·Juan Atalaya·Joseph Bardin·A. Bilmes·Gina Bortoli·Alexandre Bourassa·Jenna Bovaird·Leon Brill·Michael Broughton·Bob B. Buckley·David Buell·Tim Burger·Brian Burkett·Nicholas Bushnell·Juan Campero·Hung-Shen Chang·Zijun Chen·Benjamin Chiaro·Desmond Chik·Josh Cogan·Roberto Collins·Paul Conner·William Courtney·Alexander Crook·Ben Curtin·Dripto Debroy·Alexander Del Toro Barba·Sean Demura·Agustin Di Paolo·Andrew Dunsworth·Clint Earle·E. Farhi·Reza Fatemi·Vinicius Ferreira·Leslie Flores·Ebrahim Forati·Austin Fowler·Brooks Foxen·Gonzalo Garcia·Élie Genois·William Giang·Craig Gidney·Dar Gilboa·Marissa Giustina·Raja Gosula·Alejandro Grajales Dau·Jonathan Gross·Steve Habegger·Michael Hamilton·Monica Hansen·Matthew Harrigan·Sean Harrington·Paula Heu·Gordon Hill·Markus Hoffmann·Sabrina Hong·Trent Huang·Ashley Huff·William Huggins·Lev Ioffe·Sergei Isakov·Justin Iveland·Evan Jeffrey·Zhang Jiang·Cody Jones·Pavol Juhas·D. Kafri·Tanuj Khattar·Mostafa Khezri·Mária Kieferová·Seon Kim·Alexei Kitaev·Andrey Klots·Alexander Korotkov·Fedor Kostritsa·John Mark Kreikebaum·David Landhuis·Pavel Laptev·Kim Ming Lau·Lily Laws
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Abstract

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.

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Eliott Rosenberg, Trond Andersen, Rhine Samajdar, Andre Petukhov, Jesse Hoke, Dmitry Abanin, Andreas Bengtsson, Ilya Drozdov, Catherine Erickson, Paul Klimov, Xiao Mi, Alexis Morvan, Matthew Neeley, Charles Neill, Rajeev Acharya, Richard Allen, Kyle Anderson, Markus Ansmann, Frank Arute, Kunal Arya, Abraham Asfaw, Juan Atalaya, Joseph Bardin, A. Bilmes, Gina Bortoli, Alexandre Bourassa, Jenna Bovaird, Leon Brill, Michael Broughton, Bob B. Buckley, David Buell, Tim Burger, Brian Burkett, Nicholas Bushnell, Juan Campero, Hung-Shen Chang, Zijun Chen, Benjamin Chiaro, Desmond Chik, Josh Cogan, Roberto Collins, Paul Conner, William Courtney, Alexander Crook, Ben Curtin, Dripto Debroy, Alexander Del Toro Barba, Sean Demura, Agustin Di Paolo, Andrew Dunsworth, Clint Earle, E. Farhi, Reza Fatemi, Vinicius Ferreira, Leslie Flores, Ebrahim Forati, Austin Fowler, Brooks Foxen, Gonzalo Garcia, Élie Genois, William Giang, Craig Gidney, Dar Gilboa, Marissa Giustina, Raja Gosula, Alejandro Grajales Dau, Jonathan Gross, Steve Habegger, Michael Hamilton, Monica Hansen, Matthew Harrigan, Sean Harrington, Paula Heu, Gordon Hill, Markus Hoffmann, Sabrina Hong, Trent Huang, Ashley Huff, William Huggins, Lev Ioffe, Sergei Isakov, Justin Iveland, Evan Jeffrey, Zhang Jiang, Cody Jones, Pavol Juhas, D. Kafri, Tanuj Khattar, Mostafa Khezri, Mária Kieferová, Seon Kim, Alexei Kitaev, Andrey Klots, Alexander Korotkov, Fedor Kostritsa, John Mark Kreikebaum, David Landhuis, Pavel Laptev, Kim Ming Lau, Lily Laws. 2023-06-15. Dynamics of magnetization at infinite temperature in a Heisenberg spin chain. https://doi.org/10.1126/science.adi7877

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