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Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

by Lill, Alexander , Hilton, Jeremy , Boixo, Sergio , Erickson, Catherine , Gidney, Craig , Bardin, Joseph , Megrant, Anthony , Niu, M , Shorter, Aaron , Bovaird, Jenna , Flores, Leslie , Khezri, Mostafa , Lau, Kim Ming , Curtin, Ben , O'Brien, Thomas , Ramis Movassagh , Collins, Roberto , Meeks, Seneca , Harrington, Sean , Isakov, Sergei , Sivak, Volodymyr , Laws, Lily , Nguyen, Anthony , Satzinger, Kevin , ati, Ebrahim , Zalcman, Adam , Rosenberg, Eliott , Nguyen, Murray , White, Theodore , Saei, Negar , Crook, Alexander , Dunsworth, Andrew , Ryan Babbush , Ioffe, Lev , Agustin Di Paolo , Livingston, William P , Zhang, Yaxing , Klots, Andrey , Potter, Rebecca , Landhuis, David , Broughton, Michael , Andersen, Trond , Shutty, Noah , Roushan, Pedram , Habegger, Steve , Huang, Trent , Gross, Jonathan , Vidal, Guifre , Morvan, Alexis , Schuster, Christopher , Smith, Clarke , Bortoli, Gina , Shvarts, Vladimir , Omonije, Seun , Atalaya, Juan , Giang, William , Locharla, A , Somma, Rolando , Torres, Alfredo , Martin, Orion , Bilmes, A , Burkett, Brian , Thor, Douglas , Ansmann, Markus , McClean, Jarrod , Farhi, E , McEwen, Matthew , Heu, Paula , Mruczkiewicz, Wojciech , Klimov, Paul , Lester, Brian , C

in Heisenberg theory / Magnetization / Qubits (quantum computing) / Spin dynamics / Statistical analysis / Statistical mechanics / Statistical models

2024

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Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

in Heisenberg theory / Magnetization / Qubits (quantum computing) / Spin dynamics / Statistical analysis / Statistical mechanics / Statistical models

2024

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Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

in Heisenberg theory / Magnetization / Qubits (quantum computing) / Spin dynamics / Statistical analysis / Statistical mechanics / Statistical models

2024

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Paper

Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

Lill, Alexander,

Hilton, Jeremy,

Boixo, Sergio,

Erickson, Catherine,

Gidney, Craig,

Bardin, Joseph,

Megrant, Anthony,

Niu, M,

Shorter, Aaron,

Bovaird, Jenna,

Flores, Leslie,

Khezri, Mostafa,

Lau, Kim Ming,

Curtin, Ben,

O'Brien, Thomas,

Ramis Movassagh,

Collins, Roberto,

Meeks, Seneca,

Harrington, Sean,

Isakov, Sergei,

Sivak, Volodymyr,

Laws, Lily,

Nguyen, Anthony,

Satzinger, Kevin,

ati, Ebrahim,

Zalcman, Adam,

Rosenberg, Eliott,

Nguyen, Murray,

White, Theodore,

Saei, Negar,

Crook, Alexander,

Dunsworth, Andrew,

Ryan Babbush,

Ioffe, Lev,

Agustin Di Paolo,

Livingston, William P,

Zhang, Yaxing,

Klots, Andrey,

Potter, Rebecca,

Landhuis, David,

Broughton, Michael,

Andersen, Trond,

Shutty, Noah,

Roushan, Pedram,

Habegger, Steve,

Huang, Trent,

Gross, Jonathan,

Vidal, Guifre,

Morvan, Alexis,

Schuster, Christopher,

Smith, Clarke,

Bortoli, Gina,

Shvarts, Vladimir,

Omonije, Seun,

Atalaya, Juan,

Giang, William,

Locharla, A,

Somma, Rolando,

Torres, Alfredo,

Martin, Orion,

Bilmes, A,

Burkett, Brian,

Thor, Douglas,

Ansmann, Markus,

McClean, Jarrod,

Farhi, E,

McEwen, Matthew,

Heu, Paula,

Mruczkiewicz, Wojciech,

Klimov, Paul,

Lester, Brian,

2024

Overview

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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Publisher

Cornell University Library, arXiv.org

Subject

Heisenberg theory

/ Magnetization

/ Qubits (quantum computing)

/ Spin dynamics

/ Statistical analysis

/ Statistical mechanics

/ Statistical models