Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
Quantum Physics
2024-04-08 v2
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, , of the magnetization transferred across the chain's center. The first two moments of 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.
Keywords
Cite
@article{arxiv.2306.09333,
title = {Dynamics of magnetization at infinite temperature in a Heisenberg spin chain},
author = {Eliott Rosenberg and Trond Andersen and Rhine Samajdar and Andre Petukhov and Jesse Hoke and Dmitry Abanin and Andreas Bengtsson and Ilya Drozdov and Catherine Erickson and Paul Klimov and Xiao Mi and Alexis Morvan and Matthew Neeley and Charles Neill and Rajeev Acharya and Richard Allen and Kyle Anderson and Markus Ansmann and Frank Arute and Kunal Arya and Abraham Asfaw and Juan Atalaya and Joseph Bardin and A. Bilmes and Gina Bortoli and Alexandre Bourassa and Jenna Bovaird and Leon Brill and Michael Broughton and Bob B. Buckley and David Buell and Tim Burger and Brian Burkett and Nicholas Bushnell and Juan Campero and Hung-Shen Chang and Zijun Chen and Benjamin Chiaro and Desmond Chik and Josh Cogan and Roberto Collins and Paul Conner and William Courtney and Alexander Crook and Ben Curtin and Dripto Debroy and Alexander Del Toro Barba and Sean Demura and Agustin Di Paolo and Andrew Dunsworth and Clint Earle and E. Farhi and Reza Fatemi and Vinicius Ferreira and Leslie Flores and Ebrahim Forati and Austin Fowler and Brooks Foxen and Gonzalo Garcia and Élie Genois and William Giang and Craig Gidney and Dar Gilboa and Marissa Giustina and Raja Gosula and Alejandro Grajales Dau and Jonathan Gross and Steve Habegger and Michael Hamilton and Monica Hansen and Matthew Harrigan and Sean Harrington and Paula Heu and Gordon Hill and Markus Hoffmann and Sabrina Hong and Trent Huang and Ashley Huff and William Huggins and Lev Ioffe and Sergei Isakov and Justin Iveland and Evan Jeffrey and Zhang Jiang and Cody Jones and Pavol Juhas and D. Kafri and Tanuj Khattar and Mostafa Khezri and Mária Kieferová and Seon Kim and Alexei Kitaev and Andrey Klots and Alexander Korotkov and Fedor Kostritsa and John Mark Kreikebaum and David Landhuis and Pavel Laptev and Kim Ming Lau and Lily Laws and Joonho Lee and Kenneth Lee and Yuri Lensky and Brian Lester and Alexander Lill and Wayne Liu and William P. Livingston and A. Locharla and Salvatore Mandrà and Orion Martin and Steven Martin and Jarrod McClean and Matthew McEwen and Seneca Meeks and Kevin Miao and Amanda Mieszala and Shirin Montazeri and Ramis Movassagh and Wojciech Mruczkiewicz and Ani Nersisyan and Michael Newman and Jiun How Ng and Anthony Nguyen and Murray Nguyen and M. Niu and Thomas O'Brien and Seun Omonije and Alex Opremcak and Rebecca Potter and Leonid Pryadko and Chris Quintana and David Rhodes and Charles Rocque and N. Rubin and Negar Saei and Daniel Sank and Kannan Sankaragomathi and Kevin Satzinger and Henry Schurkus and Christopher Schuster and Michael Shearn and Aaron Shorter and Noah Shutty and Vladimir Shvarts and Volodymyr Sivak and Jindra Skruzny and Clarke Smith and Rolando Somma and George Sterling and Doug Strain and Marco Szalay and Douglas Thor and Alfredo Torres and Guifre Vidal and Benjamin Villalonga and Catherine Vollgraff Heidweiller and Theodore White and Bryan Woo and Cheng Xing and Jamie Yao and Ping Yeh and Juhwan Yoo and Grayson Young and Adam Zalcman and Yaxing Zhang and Ningfeng Zhu and Nicholas Zobrist and Hartmut Neven and Ryan Babbush and Dave Bacon and Sergio Boixo and Jeremy Hilton and Erik Lucero and Anthony Megrant and Julian Kelly and Yu Chen and Vadim Smelyanskiy and Vedika Khemani and Sarang Gopalakrishnan and Tomaž Prosen and Pedram Roushan},
journal= {arXiv preprint arXiv:2306.09333},
year = {2024}
}