<p>Lattice gauge theories (LGTs)<sup><CitationRef AdditionalCitationIDS="CR2 CR3" CitationID="CR1">1</CitationRef>–<CitationRef CitationID="CR4">4</CitationRef></sup> can be used to understand a wide range of phenomena, from elementary particle scattering in high-energy physics to effective descriptions of many-body interactions in materials<sup><CitationRef AdditionalCitationIDS="CR6" CitationID="CR5">5</CitationRef>–<CitationRef CitationID="CR7">7</CitationRef></sup>. Studying dynamical properties of emergent phases can be challenging, as it requires solving many-body problems that are generally beyond perturbative limits<sup><CitationRef AdditionalCitationIDS="CR9" CitationID="CR8">8</CitationRef>–<CitationRef CitationID="CR10">10</CitationRef></sup>. Here we investigate the dynamics of local excitations in a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41586_2025_8999_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\mathbb{Z}}}_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> LGT using a two-dimensional lattice of superconducting qubits. We first construct a simple variational circuit that prepares low-energy states that have a large overlap with the ground state; then we create charge excitations with local gates and simulate their quantum dynamics by means of a discretized time evolution. As the electric field coupling constant is increased, our measurements show signatures of transitioning from deconfined to confined dynamics. For confined excitations, the electric field induces a tension in the string connecting them. Our method allows us to experimentally image string dynamics in a (2+1)D LGT, from which we uncover two distinct regimes inside the confining phase: for weak confinement, the string fluctuates strongly in the transverse direction, whereas for strong confinement, transverse fluctuations are effectively frozen<sup><CitationRef CitationID="CR11">11</CitationRef>,<CitationRef CitationID="CR12">12</CitationRef></sup>. We also demonstrate a resonance condition at which dynamical string breaking is facilitated. Our LGT implementation on a quantum processor presents a new set of techniques for investigating emergent excitations and string dynamics.</p>

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Visualizing dynamics of charges and strings in (2 + 1)D lattice gauge theories

  • T. A. Cochran,
  • B. Jobst,
  • E. Rosenberg,
  • Y. D. Lensky,
  • G. Gyawali,
  • N. Eassa,
  • M. Will,
  • A. Szasz,
  • D. Abanin,
  • R. Acharya,
  • L. Aghababaie Beni,
  • T. I. Andersen,
  • M. Ansmann,
  • F. Arute,
  • K. Arya,
  • A. Asfaw,
  • J. Atalaya,
  • R. Babbush,
  • B. Ballard,
  • J. C. Bardin,
  • A. Bengtsson,
  • A. Bilmes,
  • A. Bourassa,
  • J. Bovaird,
  • M. Broughton,
  • D. A. Browne,
  • B. Buchea,
  • B. B. Buckley,
  • T. Burger,
  • B. Burkett,
  • N. Bushnell,
  • A. Cabrera,
  • J. Campero,
  • H.-S. Chang,
  • Z. Chen,
  • B. Chiaro,
  • J. Claes,
  • A. Y. Cleland,
  • J. Cogan,
  • R. Collins,
  • P. Conner,
  • W. Courtney,
  • A. L. Crook,
  • B. Curtin,
  • S. Das,
  • S. Demura,
  • L. De Lorenzo,
  • A. Di Paolo,
  • P. Donohoe,
  • I. Drozdov,
  • A. Dunsworth,
  • A. Eickbusch,
  • A. Moshe Elbag,
  • M. Elzouka,
  • C. Erickson,
  • V. S. Ferreira,
  • L. Flores Burgos,
  • E. Forati,
  • A. G. Fowler,
  • B. Foxen,
  • S. Ganjam,
  • R. Gasca,
  • É. Genois,
  • W. Giang,
  • D. Gilboa,
  • R. Gosula,
  • A. Grajales Dau,
  • D. Graumann,
  • A. Greene,
  • J. A. Gross,
  • S. Habegger,
  • M. Hansen,
  • M. P. Harrigan,
  • S. D. Harrington,
  • P. Heu,
  • O. Higgott,
  • J. Hilton,
  • H.-Y. Huang,
  • A. Huff,
  • W. Huggins,
  • E. Jeffrey,
  • Z. Jiang,
  • C. Jones,
  • C. Joshi,
  • P. Juhas,
  • D. Kafri,
  • H. Kang,
  • A. H. Karamlou,
  • K. Kechedzhi,
  • T. Khaire,
  • T. Khattar,
  • M. Khezri,
  • S. Kim,
  • P. Klimov,
  • B. Kobrin,
  • A. Korotkov,
  • F. Kostritsa,
  • J. Kreikebaum,
  • V. Kurilovich,
  • D. Landhuis,
  • T. Lange-Dei,
  • B. Langley,
  • K.-M. Lau,
  • J. Ledford,
  • K. Lee,
  • B. Lester,
  • L. Le Guevel,
  • W. Li,
  • A. T. Lill,
  • W. Livingston,
  • A. Locharla,
  • D. Lundahl,
  • A. Lunt,
  • S. Madhuk,
  • A. Maloney,
  • S. Mandrà,
  • L. Martin,
  • O. Martin,
  • C. Maxfield,
  • J. McClean,
  • M. McEwen,
  • S. Meeks,
  • A. Megrant,
  • K. Miao,
  • R. Molavi,
  • S. Molina,
  • S. Montazeri,
  • R. Movassagh,
  • C. Neill,
  • M. Newman,
  • A. Nguyen,
  • M. Nguyen,
  • C.-H. Ni,
  • K. Ottosson,
  • A. Pizzuto,
  • R. Potter,
  • O. Pritchard,
  • C. Quintana,
  • G. Ramachandran,
  • M. Reagor,
  • D. Rhodes,
  • G. Roberts,
  • K. Sankaragomathi,
  • K. Satzinger,
  • H. Schurkus,
  • M. Shearn,
  • A. Shorter,
  • N. Shutty,
  • V. Shvarts,
  • V. Sivak,
  • S. Small,
  • W. C. Smith,
  • S. Springer,
  • G. Sterling,
  • J. Suchard,
  • A. Sztein,
  • D. Thor,
  • M. Torunbalci,
  • A. Vaishnav,
  • J. Vargas,
  • S. Vdovichev,
  • G. Vidal,
  • C. Vollgraff Heidweiller,
  • S. Waltman,
  • S. X. Wang,
  • B. Ware,
  • T. White,
  • K. Wong,
  • B. W. K. Woo,
  • C. Xing,
  • Z. Jamie Yao,
  • P. Yeh,
  • B. Ying,
  • J. Yoo,
  • N. Yosri,
  • G. Young,
  • A. Zalcman,
  • Y. Zhang,
  • N. Zhu,
  • N. Zobrist,
  • S. Boixo,
  • J. Kelly,
  • E. Lucero,
  • Y. Chen,
  • V. Smelyanskiy,
  • H. Neven,
  • A. Gammon-Smith,
  • F. Pollmann,
  • M. Knap,
  • P. Roushan

摘要

Lattice gauge theories (LGTs)14 can be used to understand a wide range of phenomena, from elementary particle scattering in high-energy physics to effective descriptions of many-body interactions in materials57. Studying dynamical properties of emergent phases can be challenging, as it requires solving many-body problems that are generally beyond perturbative limits810. Here we investigate the dynamics of local excitations in a \({{\mathbb{Z}}}_{2}\) Z 2 LGT using a two-dimensional lattice of superconducting qubits. We first construct a simple variational circuit that prepares low-energy states that have a large overlap with the ground state; then we create charge excitations with local gates and simulate their quantum dynamics by means of a discretized time evolution. As the electric field coupling constant is increased, our measurements show signatures of transitioning from deconfined to confined dynamics. For confined excitations, the electric field induces a tension in the string connecting them. Our method allows us to experimentally image string dynamics in a (2+1)D LGT, from which we uncover two distinct regimes inside the confining phase: for weak confinement, the string fluctuates strongly in the transverse direction, whereas for strong confinement, transverse fluctuations are effectively frozen11,12. We also demonstrate a resonance condition at which dynamical string breaking is facilitated. Our LGT implementation on a quantum processor presents a new set of techniques for investigating emergent excitations and string dynamics.